The initial speed of the bullet is 200 m/s.
What is Conservation of momentum?Conservation of momentum is a law of physics which states that the total momentum of a system remains constant over time. This means that when two or more objects interact, the total momentum of the system remains the same before and after the interaction. The law of conservation of momentum is applicable to both isolated systems and systems that interact with external forces. It is an important concept in a variety of applications ranging from collisions of particles to the motion of galaxies. Conservation of momentum also plays an important role in the field of quantum mechanics.
The initial speed of the bullet can be calculated using the conservation of momentum equation:
m₁v₁ + m₂v₂ = m₁v′₁ + m₂v′₂
where m₁ is the mass of the bullet, v₁ is the initial speed of the bullet, m₂ is the mass of the pendulum, v₂ is the initial speed of the pendulum, v′₁ is the final speed of the bullet, and v′₂ is the final speed of the pendulum.
In this problem, m₁ = 7.0 g, v₁ = ?, m₂ = 1.5 kg, v₂ = 0 m/s, v′₁ = 200 m/s, and v′₁ = 0 m/s.
Substituting this into the equation, we get:
7.0 g x v₁ + (1.5 kg)(0 m/s) = 7.0 g(200 m/s) + (1.5 kg)(0 m/s)
Solving for v₁, we get:
v₁ = 200 m/s
Therefore, the initial speed of the bullet is 200 m/s.
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(a) what is the magnitude of the tangential acceleration of a bug on the rim of an 11.0-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 79.0 rev/min in 3.50 s?
The magnitude of the tangential acceleration is 0.329m/s².
The degree of tangential acceleration can be calculated in what way?At=r a t = r is the formula for tangential acceleration, where r is the circle's radius and is the angular acceleration. The definition is derived from the fact that the arc length is equal to the circle's radius times the angle in radians.
d = Diameter of rim = 11.0 in = 11 × 0.0254 = 0.2794m
r = Radius = d/2 = 0.2794/2 = 0.1397m
[tex]\omega_{f}[/tex] = Final angular velocity = 79 × 2π/60 = 8.26rad/s
[tex]\omega_{i}[/tex] = Initial angular velocity = 0
∝ = Angular acceleration
t = Time taken = 3.5s
Rotational motion equation,
[tex]\omega_{f}[/tex] = [tex]\omega_{i}[/tex] + ∝t
∝ = [tex]\omega_{f}[/tex] - [tex]\omega_{i}[/tex]/t
∝ = 8.26 - 0/3.5
∝ = 2.36 rad/s²
Magnitude of the tangential acceleration given by
[tex]a_{t}[/tex] = r∝
[tex]a_{t}[/tex] = 2.36 × 0.1397
[tex]a_{t}[/tex] = 0.329m/s².
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9. What is the acceleration when a 63 kg person on rollerblades pushes against a wall with a
force of 34 N?
It is a well-known fact that often applying force does not cause a change in the condition of motion. For instance, even if you use all of your force, a hefty box could not budge at all. Again, attempting to push a wall has no noticeable effect.
What acceleration, rollerblades, pushes against a wall force?Because you pushed against the wall, but the wall pushed back against you with an equal and opposite force, you slide in the opposite direction (away from the wall).
Therefore, There are just two forces at work: friction and gravitation. Yes, the frictional force's magnitude must match the weight. Given that it is parallel to the wall, the friction is in the vertical direction (which is vertical)
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Newton's third law states that any action will have a(n) _______ and ______ reaction.
Newton's third law states that any action will have a(n) equal and opposite reaction.
On an ECG machine that meets the international standard, the paper moves at ________.
a. 25 mm/second
b. 10 mm/second
c. 25 mm/minute
d. 10 cm/minute
On an ECG machine that meets the international standard, the paper moves at 25 mm/second.
Earth has a very strong gravitational force that can pull the objects to fall to the Earth's surface. How do satellites overcome this problem and stay in its orbit?
example 10.11 discusses the conversion of spring potential energy to kinetic energy. how much energy is initially stored in the spring?
A spring-loaded to gun is used to launch a 10 plastic ball. The spring, which has a spring constant of 10 N/m, is compressed by 10 cm as the ball is pushed into the barrel. When the trigger is pulled, the spring is released and shoot the ball back out horizontally.
Answer:
Below
Explanation:
ESE = 1/2 k d^2
= 1/2 * 10 N/m * .1 m = .5 J
what is the change in internal energy of a system that takes in 4.23 106 j of heat, and does 4.50 105 j of work while dissipating 9.07 106 j of heat?
The change in internal energy of a system is - 5290×10⁴J.
What do you mean by internal energy?Innate strength A system's or a body's (with clearly defined boundaries) U is made up of the sum of the kinetic and potential energies resulting from molecular motion as well as the electric and vibrational motion of the atoms within molecules.
Heat transfer into the system Q₁ = 4.23×10⁶J
Heat transfer out of the system Q₂ = 9.07× 10⁶J
Work done W = 4.50×10⁵J
The heat transfer into the system less the heat transfer out of the system is now known as the net heat transfer.
Q = Q₁ - Q₂
Q = 4.23×10⁶ - 9.07× 10⁶
Q = -4.84× 10⁶J
The first law of thermodynamics provides the following formula for the change in internal energy:
ΔU = Q - W
ΔU = -4.84× 10⁶ - 4.50×10⁵
ΔU = - 5290×10⁴J.
A negative sign indicates a decrease in internal energy.
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9) During a game of bowling, which of the following describe the ball's motion?(SELECT ALL ANSWERS THAT APPLY)
A) The ball is accelerated while it is pushed by the student's hand due to an
unbalanced force.
B) The ball slows down as it rolls because friction exerts an unbalanced force.
C) The ball is accelerated while it is held in the student's hand due to balanced
Forces.
D) The ball does not change its motion as it rolls because of the balanced force
provided by friction.
E) The ball does not change its motion while it is held in the student's hand due to
balanced forces.
Answer:
The answer seems to be,
A) The ball is accelerated while it is pushed by the student's hand due to an
A) The ball is accelerated while it is pushed by the student's hand due to anunbalanced force.
(The answer might be wrong. )
building a dam to produce hydro-electric power and create water storage is one way to take advantage of a common renewable resource. this produces much less pollution than a coal burning plant. water being let out of the dam also produces a lot of kinetic (movement) energy. however, building dams are not a perfect solution. what is the most likely problem related to dams?
Using the water that is both held in dams and flowing in rivers, hydropower, also known as hydroenergy, is a renewable energy source.
What kind of electricity does a dam generate when it transforms the force of the water into electrical energy?In order to generate electricity, hydroelectric power uses the force of moving water, making it a renewable energy source. Long before you switch on a light at home or at work, the hydroelectric process has already begun.
How do dams generate electricity, or more specifically, how do they transform the energy of moving water into AC power?Water must flow in order to generate power. Kinetic energy is energy that moves. The energy transforms into mechanical (machine) energy as flowing water turns blades in a turbine.
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Which has more momentum: a 30 of mass that is stationary or a 0.30 kg mass moving at 1.0 m/s?
Answer:
.30 kg mass moving at 1.0 m/s
Explanation:
Well if the 30 mass isn't moving, then that isn't momentum. But if the .30 kg of mass if moving, then that would be momentum. So the correct answer is .30 kg of mass
Answer:
a 0.30 kg mass moving at 1.0 m/s
Explanation:
p = mv
Momentum is the product of mass and velocity. Since a stationary object has velocity=0, it has momentum=0*mass=0
An object with positive mass and nonzero velocity will always have positive momentum, so we could stop here.
An object with m=0.3kg and v=1m/s has
p = mv = 0.3kg * 1m/s = 0.3kg*m/s
which is more than 0.
3. A force of 70N is applied to a 10kg box with a friction force of 30N opposing it's motion. The box starts
from rest and reaches a speed of 5m/s. Determine the distance over which the force acts on the box.
The distance over which the force acts on the box, given that 70 N is applied to the 10 Kg box is 3.125 m
How do I determine the distance ?We'll begin by obtaining the acceleration of the box. Details below:
Force applied = 70 NForce of friction = 30 NNet force = Force applied - Force of friction = 70 - 30 = 40 N Mass of box = 10 KgAcceleration (a) =?Net force = mass × acceleration
40 = 10 × acceleration
Divide both sides by 10
Acceleration = 40 / 10
Acceleration = 4 m/s²
Finally, we shall determine the distance. Details below
Initial velocity (u) = 0 m/sFinal velocity (v) = 5 m/s Acceleration(a) = 4 m/s²Distance (s) =?v² = u² + 2as
5² = 0² + (2 × 4 × s)
25 = 0 + 8s
25 = 8s
Divide both side by 8
s = 25 / 8
s = 3.125 m
Thus, we can conclude that the distance covered is 3.125 m
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Which type of eclipse makes the Sun appear in the form of a ring?
A.
total solar eclipse
B.
partial solar eclipse
C.
annular solar eclipse
D.
partial lunar eclipse
E.
total lunar eclipse
Answer: D. Annular Solar Eclipse
Explanation:
An annular solar eclipse happens when the Moon passes between the Sun and Earth, but when it is at or near its farthest point from Earth. Because the Moon is farther away from Earth, it appears smaller than the Sun and does not completely cover the Sun.
one cannot peer all the way back and directly observe the big bang because the universe's density was so low. true false
True. The Big Bang Theory is the current scientific explanation for the origin and evolution of the universe. According to this theory, the universe was initially in a state of extremely high density and temperature, and it has been expanding and cooling since its inception.
One reason we cannot directly observe the Big Bang is that the universe's density was so low at that time that there were no solid particles, such as atoms or molecules, that could have formed into stars or galaxies. Instead, the universe was filled with a hot, ionized plasma that was too diffuse to be observed by telescopes. Another reason is that the expansion of the universe has caused the light and other electromagnetic radiation that was emitted during the Big Bang to become redshifted, or stretched out in wavelength, over time. This means that the light from the earliest moments of the universe has shifted into the microwave and radio frequency ranges, which are not visible to the human eye. Therefore, while we can infer some details about the conditions of the early universe based on observations of the cosmic microwave background radiation and the large-scale structure of the universe, we cannot directly observe the Big Bang itself.
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one force of 6.2 newtons and one force of 4.4 newtons act on a body at the same point so that the resultant force is 9.1 newtons. find the angle between the resultant and the larger force, to the nearest 10th of a degree.
The angle between the resultant and the larger force is 60 degree if resultant force value is value 9.1Newtons.
We know that resultant force is given by the superposition principle which uses a formula
Resultant force =√((F₁)² + (F₂)² + 2 ˣ F₁ ˣ F₂ ˣ cosθ)
Superposition principle of electric force to find the resultant power, all accuses are thought about independently of that specific charge as though any remaining charges are missing. Along these lines, for each charge, the power on that specific charge is to be found out. Then the vector amount of the multitude of forces gives the resultant forces on that charge.
We have resultant force as 9.1Newton,F₁=6.2newton,F₂=4.4 newton
So,on putting the values,we get
=>(9.1) = √[(6.2)² + (4.4)² + 2 × 6.2×4.4×cosθ]
Squaring on both sides,we get
=>9.1 × 9.1 =(6.2)² + (4.4)² + 2× 6.2×4.4×cosθ
=>82.81=38.44 + 19.36 + 54.56×cosθ
=>82.81=57.8+ 54.56×cosθ
=>82.81-57.8= 54.56×cosθ
=>25.01=54.56×cosθ
=>cosθ=25.01/54.56
=>cosθ = 0.458
=>cosθ=cos(62.5)°
=>θ=62.5°
=>θ=60°(nearest 10th)
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-. The magnitude of vector A is 18.5 Vector lies in the fourth
quadrant and forms an angle of 55° with the x-axis. What are
the components of vector A?
(+ , -)
- sin(55)=y/18.5 -> 18.5sin(55)=y
- cos(55)=x/18.5 -> 18.5cos(55)=x
How can you determine a vector's direction given its magnitude?The magnitude will be given by |v|=a2+b2 if v=a,b is indeed the coordinates.In accordance with the application the direction usually equal to the angle made with the x-axis or the y-axis.The formula tan=(ba)=tan1(ba) can be used to determine the direction of a position vector, as shown in Figure 8.8.
How do you calculate that magnitude of a four-part vector?Any number of dimensions can be included in the generalization of the vector magnitude formula.For instance, the formula for the magnitude of a four-dimensional vector a=(a1,a2,a3,a4) is a=a21+a22+a23+a24.
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A car advertisement states that a certain car can accelerate from rest to 30 m/s in 5 seconds. Find the car’s average acceleration. (Prefered if using KWEPA method!)
The car’s average acceleration is 6 meter/second^2.
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
Given that: the car can accelerate from rest to 30 m/s in 5 seconds.
Hence, average acceleration of the car = change in speed/time interval
= ( final speed - initial speed)/time interval
= ( 30 m/s - 0 m/s) / 5 second
= (30/5) meter/second^2
= 6 meter/second^2.
Hence, the average acceleration of the car is 6 meter/second^2.
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FILL IN THE BLANKS
12) When two objects interact through the gravitational force between them, the more massive one has a lower __acceleration_________ than the less massive object.
Answer: Acceleration
Explanation:
When two objects interact through the gravitational force between them, the more massive one has a lower acceleration than the less massive object.
TRUE/FALSE
1) A test booklet is sitting at rest on a desk. Compared to the force of the booklet on the
desk, the force of the desk on the booklet is the same. _______________
True
False
2) The acceleration of an object is always in the direction of the net force acting on it.
True
False
Answer:
TRUE - A test booklet is sitting at rest on a desk. Compared to the force of the booklet on the desk, the force of the desk on the booklet is the same.
TRUE - The acceleration of an object is always in the direction of the net force acting on it.
a small ferryboat is 4.70 m wide and 6.50 m long. when a loaded truck pulls onto it, the boat sinks an additional 3.70 cm into the river. what is the weight of the truck?
According to the given statement 11303.5 kg is the weight of the truck.
What does physics' Archimedes principle entail?The buoyant force, which applies to a person at rest in a fluid, is proportional to the weight of the displaced water and pushes higher. The amount of fluid displaced when the body is fully immersed is equal to the body's volume.
Briefing:The Archimedean principle, which asserts that the hydrostatic push is equal to the weight of the desalinated liquid, is used to solve this task.
B = ρ g V
It is in balance with the push when the truck is at full weight, according to Newton's law of equilibrium.
Σ F = 0
B-W = 0
B = W
body weight
W = M g
the volume is
V = l to h
(l to h) = M g
M = l a h
we calculate
M = F = 1000 . 10. (4.70 x 6.50 x 0.037) = 11303.5 N
M = 11303.5 kg
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the sun has a mass of 2.0 x 1030 kg and radiates energy at the rate of 3.9 x 1026 w. (a) at what rate does the sun transfer its mass to other forms of energy? (b) what fraction of its original mass has the sun lost in this way since it began to burn hydrogen, about 4.5 x 109 y ago?
The rate at which sun transfers its mass to other forms of energy is 4.3* 10⁹ kg/s.
The fraction of its original mass has the sun lost in this way since it began to burn hydrogen, about 4.5 x 109 y ago is 3.1 * 10⁻⁴.
Given that,
Mass of the sun = 2* 10³⁰ kg
Radiation power P = 3.9* 10²⁶ W
The rate of changing mass is P = E/t = (m*c²)/t
Re-arranging the terms, we have,
m/t = P/c² = (3.9* 10²⁶)/(3* 10⁸)² = 4.3* 10⁹ kg/s
Fraction of original mass lost is Δm = m/t * t = (4.3* 10⁹)* (4.5* 10⁹)
⇒ 6.15 * 10²⁶ kg
Fraction of mass lost = Δm/(m + Δm) = (6.15 * 10²⁶)/(2* 10³⁰ + 6.15 * 10²⁶)
⇒ 3.1 * 10⁻⁴
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A motorcycle initially travelling at 15.0 m/s comes to rest in 5.0 s. What is its deceleration and how
far does it travel during deceleration?
The deceleration of the motorcycle is -3.0 m/s^2 and it travels 75.0 m during deceleration.
To find the deceleration of the motorcycle, we can use the formula:
deceleration = (final velocity - initial velocity) / time
Plugging in the given values, we get:
deceleration = (0 m/s - 15.0 m/s) / 5.0 s = -3.0 m/s^2
To find the distance the motorcycle travels during deceleration, we can use the formula:
distance = (initial velocity * time) + (1/2 * deceleration * time^2)
Plugging in the given values, we get:
distance = (15.0 m/s * 5.0 s) + (1/2 * -3.0 m/s^2 * 5.0 s^2) = 75.0 m
So the deceleration of the motorcycle is -3.0 m/s^2 and it travels 75.0 m during deceleration.
Maddy tripped and accidentally threw her phone off the hollywood cliff at 5m/s. It landed 20 away from the base of the cliff. how high is the cliff then?
The height of the cliff, given that her phone landed 20 m away when she accidentally threw her phone with a velocity of 5 m/s is 78.4 m
How do I determine the height of the cliff?To determine the height of the cliff, we must first obtain the time taken for her phone to reach the ground. This is obtained as follow:
Horizontal velocity (u) = 5 m/sHorizontal distance (s) = 20 mTime taken (t) =?s = ut
20 = 5 × t
Divide both sides by 5
t = 20 / 5
t = 4 s
Finally, we shall determine the height of the cliff. Details below:
Time taken (t) = 4 sAcceleration due to gravity (g) = 9.8 m/s²Height (h) = ?h = ½gt²
h = ½ × 9.8 × 4²
h = 4.9 × 16
h = 78.4 m
Thus, the height of the cliff is 78.4 m
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what is the formula to find the volume of a sphere
1) When there is friction between surfaces, energy is transferred out of a system as ________
energy.
Answer:
heat energy
Explanation:
heat energy
Two aircraft p and q are flying at the ame peed,300 m the direction along which p i flying i at right angle to the direction along which p i flying ,find the direction of velocity
The magnitude of the velocity of the aircraft P relative to aircraft Q is zero
The velocity of the two aircraft given is
P & Q, v = 300 m/s
The angle of the direction between P&Q is
Ф = 90°
The magnitude of the velocity of aircraft P relative to aircraft Q is given by the formula which is as follows:
V = v cos Ф
Substituting the values in the above equation
v = 300 x cos 90°
= 300 x 0
= 0
Since the aircraft are at right angles, the velocity of one aircraft relative to the other would be equal to zero.
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A piece of stone is projected vertically upwards with a speed of 25ms^-1. Determine it's speed at it's point reached
Assuming a piece of stone is projected vertically upwards with a speed of 25ms^-1, its speed at its highest point reached is equal to zero (0) m/s.
What is projectile motion?In Science, projectile motion can be defined as a form of motion which is experienced by a physical object (body) that is projected near the surface of planet Earth, while moving along a parabolic path, and under the influence of a gravitational force (gravity) only.
Generally speaking, when this stone is thrown straight up or projected vertically upwards at a certain speed, it begins to slow down as a result of the effect of downward gravitational acceleration.
Consequently, the stone reaches a maximum height (highest point) where it cannot go higher anymore and then starts to fall down (descend) due to gravity.
In this context, we can reasonably infer and logically deduce that the speed of any physical object would be equal to zero (0) meter per seconds when it reaches a maximum height (highest point).
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Complete Question:
A piece of stone is projected vertically upwards with a speed of 25 ms^-1. Determine its speed at its highest point reached. (g = 10 ms-2).
what force must be exerted on the master cylinder of a hydraulic lift to support the weight of a 2500 kg car (a big car) resting on the slave cylinder? the master cylinder has a 1.93 cm diameter, while the slave's is 24.9 cm. 1900 n 150 n 15 n 4.1e 06 n 74 n
The force that must be exerted on the master cylinder of the hydraulic lift to support the weight of car is 147.2 N .
The Pascal's Law states that the relation between the pressure , force and area is given as :
Pressure = Force/Area ;
given that the diameter of the master cylinder is = 1.93 cm ;
so radius of master cylinder = 1.93/2 = 0.965 cm = 0.00965 m ;
the diameter of slave cylinder is = 24.9 cm ;
the radius of the slave cylinder = 24.9/2 = 12.45 m = 0.1245 m ;
Area of slave cylinder (A₁)= π(0.1245)² = 0.0486 m²
Area of the master cylinder (A₂) = π(0.00965)² = 0.000292 m² ;
given mass of the car = 2500 Kg ,
the force exerted will be : F = m*a
F₁ = 2500*9.8 = 24500 N ;
F₁/A₁ = F₂/A₂
So , 24500/0.0486 = F₂/0.000292
F₂ = (24500/0.0486)×0.000292
F₂ = 147.2 N
Therefore , the force exerted on the master cylinder is 147.2 N .
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collin was thrown from his horse while riding and subsequently received a blow to the back of his head. what might collin have trouble with?
After thrown from his horse, Collin might have trouble with his occipital lobe.
The occipital lobe is one of the four significant lobe of the cerebral cortex in the mind of warm blooded creatures. The name gets from its situation at the rear of the head, from the Latin ob, "behind", and caput, "head".
The occipital lobe is the visual handling focus of the mammalian mind containing a large portion of the physical locale of the visual cortex. The essential visual cortex is Brodmann region 17, ordinarily called V₁(visual one). Human V₁ is situated on the average side of the occipital curve inside the calcarine sulcus; the full degree of V₁ frequently go on onto the occipital shaft.
V₁ is much of the time likewise called striate cortex since it tends to be distinguished by a huge stripe of myelin, the Stria of Gennari. Outwardly determined locales outside V₁ are called extrastriate cortex. There are numerous extrastriate districts, and these are specific for various visual errands, for example, visuospatial handling, variety separation, and movement insight. Two-sided injuries of the occipital curve can prompt cortical visual deficiency.
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an object completly submerged in water as shown in the figure. draw arrows, which represent the force of the water at that depth, at various locations on the top, bottom, and side of the object. how does the force on one side of the object compare to the force on the other? how does the force on the top compare to taht on the bottom
The downward force here on top of the cylinder is greater than this pressure's equivalent upward force here on bottom of the cylinder.
What is an illustration of pressure?By pressing a knife on some fruit, one can get a straightforward illustration of pressure. The surface won't be cut if you press the flat section of the knife against the fruit. The force is dispersed over a wide area (low pressure).
How many pressure units are there?Other pressure measurements include pounds per square inch, bar, millimeters of mercury (used to measure blood pressure), centimeters of water, torr, MSW, and FSW. Atmospheric pressure is measured in atm.
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9. a soap bubble is 100 nm thick and illuminated by white light incident perpendicular to its surface. what wavelength and color of visible light is most constructively reflected, assuming the same index of refraction as water?
When a soap bubble 100 nm thick and illuminated by white light incident perpendicular to its surface, then wavelength, λ is calculated = 5.32 *10^-7 m.
What is index of refraction?The ratio of the speed of light in a vacuum, c, to the speed of light in a medium, c' is called as index of refraction. One of the consequence of this difference in speed is that when light goes from one medium to another at an angle, then the propagation vector in the new medium has a different angle with respect to normal.
Given, t= 100nm= 100 * 10 ^-9 n= 1.33
ΔФ1 = λ/4
ΔФ2 = 2√2 t λ n/2 λ
=2 t n
=2 * 100 * 10 ^-9 * 1.33
= 2.66 *10^-7
2.66 *10^-7= λ/2
λ= 5.32 *10^-7 m.
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