Class 12 Wave Optics Numericals

Young's Double Slit Experiment Numericals

Young's Double Slit Experiment Numericals

Young's Double Slit Experiment

Problem 1

In a Young's double slit experiment, the wavelength of light used is 600 nm. The distance between the slits is 0.5 mm, and the distance from the slits to the screen is 2 meters. Calculate the position of the second order bright fringe.

Answer: 4.8 mm

Problem 2

If the separation between the central maximum and the first order maximum is 3 mm, find the wavelength of light used when the slit separation is 0.3 mm and the distance to the screen is 1.5 meters.

Answer: 600 nm

Problem 3

The distance between the slits in a Young's double slit experiment is 0.15 mm, and the distance of the screen from the slits is 1.2 meters. If the wavelength of light used is 450 nm, calculate the separation between the central maximum and the second order maximum.

Answer: 7.2 mm

Problem 4

The wavelength of light used in a Young's double slit experiment is 500 nm. The distance between the slits is 0.25 mm, and the distance from the slits to the screen is 1.5 meters. Calculate the position of the third order bright fringe.

Answer: 9 mm

Problem 5

If the wavelength of light used in a Young's double slit experiment is 650 nm and the distance between the slits is 0.1 mm, find the distance from the central maximum to the second minimum when the distance to the screen is 1.2 meters.

Answer: 11.7 mm

Intensity

Problem 1

In a Young's double slit experiment, the intensity at a point on the screen where the path difference is λ/6 is I. What will be the intensity at a point where the path difference is λ/3?

Answer: I/3

Problem 2

In a Young's double slit experiment, the intensity of light at the central maximum is I0. What is the intensity at a point on the screen where the path difference is λ/2?

Answer: 0

Problem 3

The intensity at a point where the path difference is λ/4 in a Young's double slit experiment is I. What is the intensity at a point where the path difference is λ/2?

Answer: 0

Problem 4

In a Young's double slit experiment, the intensity at a point where the path difference is λ/8 is I. What will be the intensity at a point where the path difference is 3λ/8?

Answer: 0.25I

Problem 5

If the intensity at the central maximum in a Young's double slit experiment is I0, what will be the intensity at a point where the phase difference between the waves from the two slits is π?

Answer: 0

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