what is the highest order dark fringe, , that is found in the diffraction pattern for light that has a wavelength of 629 nm and is incident on a single slit that is 1480 nm wide?

Answers

Answer 1

The highest order dark fringe, n is approximately equal to 2 for light that has a wavelength of 629 nm and is incident on a single slit that is 1480 nm wide.

The highest order dark fringe, n can be determined using the equation:

n λ = a sin θ

where,λ = 629 nma = 1480 nm

Given data:

wavelength (λ) = 629 nmsingle slit width (a) = 1480 nm

The highest order dark fringe, n can be determined using the equation:n λ = a sin θThe first dark fringe corresponds to n = 1, second dark fringe corresponds to n = 2, and so on.

For the highest order dark fringe, we need to find the largest value of n which gives a valid value of

sin θ.n λ = a sin θ ⇒ sin θ = (n λ) / a

For the highest order dark fringe, sin θ = 1 which gives:

n λ = a sin θ⇒ n λ = a⇒ n = a / λ

We have,a = 1480 nmλ = 629 nm

Substituting the values in the equation, we get:

n = a / λ= 1480 nm / 629 nm= 2.35 or 2 (approx)Therefore, the highest order dark fringe, n is approximately equal to 2

The highest order dark fringe, n is approximately equal to 2 for light that has a wavelength of 629 nm and is incident on a single slit that is 1480 nm wide.

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Related Questions

Relative to the ground, a car has a velocity of 17.3 m/s, directed due north. Relative to this car, a truck has a velocity of 23.0 m/s, directed 52.0° north of east. What is the magnitude of the truc

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The

magnitude

of the truck's velocity

is approximately 22.783 m/s.

To solve this problem, we can break down the velocities into their x and y components.

The

car's velocity

is directed due north, so its

x-component is 0 m/s and its y-component is 17.3 m/s.

The truck's velocity is directed 52.0° north of east. To find its x and y components, we can use trigonometry. Let's define the

angle

measured counterclockwise from the positive x-axis.

The x-component of the truck's velocity can be found using the cosine function:

cos(52.0°) = adjacent / hypotenuse

cos(52.0°) = x-component / 23.0 m/s

Solving for the x-component:

x-component = 23.0 m/s * cos(52.0°)

x-component ≈ 14.832 m/s

The y-component of the truck's velocity can be found using the sine function:

sin(52.0°) = opposite / hypotenuse

sin(52.0°) = y-component / 23.0 m/s

Solving for the y-component:

y-component = 23.0 m/s * sin(52.0°)

y-component ≈ 17.284 m/s

Now, we can find the magnitude of the truck's velocity by using the

Pythagorean theorem

magnitude = √(x-component² + y-component²)

magnitude = √((14.832 m/s)² + (17.284 m/s)²)

magnitude ≈ √(220.01 + 298.436)

magnitude ≈ √518.446

magnitude ≈ 22.783 m/s

Therefore, the magnitude of the truck's

velocity

is approximately 22.783 m/s.

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magnitude

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The displacement of a wave traveling in the negative y-direction
is D(y,t)=(9.0cm)sin(45y+70t+π)D(y,t)=(9.0cm)sin⁡(45y+70t+π), where
y is in m and t is in s.
What is the frequency of this wave?
Wh

Answers

The displacement of a wave traveling in the negative y-direction depends on the amplitude and frequency of the wave.

The displacement of a wave traveling in the negative y-direction is a combination of factors. The first factor is the amplitude, which is the maximum distance that a particle moves from its rest position as a wave passes through it. The second factor is the frequency, which is the number of waves that pass a fixed point in a given amount of time. The displacement of a wave is given by the formula y = A sin(kx - ωt + ϕ), where A is the amplitude, k is the wave number, x is the position, ω is the angular frequency, t is the time, and ϕ is the phase constant. This formula shows that the displacement depends on the amplitude and frequency of the wave.

These variables have the same fundamental meaning for waves. In any case, it is useful to word the definitions in a more unambiguous manner that applies straightforwardly to waves: Amplitude is the distance between the wave's maximum displacement and its resting position. Frequency is the number of waves that pass by a particular point every second.

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