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17. Light Waves
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Q4 of 79 Page 380

The speed of the yellow light in a certain liquid is 2.4 × 108 m s-1. Find the refractive index of the liquid.

The speed of light in a medium of refractive index is


Here,


And


Therefore,


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2

The wavelength of sodium light in air is 589 nm. (a) Find its frequency in air. (b) Find its wavelength in water (refractive index = 133). (c) Find its frequency in water. (d) Find its speed in water.

3

The index of refraction of fused quartz is 1.472 for light of wavelength 400 nm and is 1.452 for light of wavelength 760 nm. Find the speeds of light of these wavelengths in fused quartz.

5

Two narrow slits emitting light in phase are separated by a distance of 1.0 cm. The wavelength of the light is 5.O × 10-7 m. The interference pattern is observed on a screen placed at u distance of 1.0 m. (a) Find the separation between the consecutive maxima. Can you expect to distinguish between these maxima? (b) Find the separation between the sources which will give a separation of 1.0 mm between the consecutive maxima.

6

The separation between the consecutive dark fringes in a Young’s double slit experiment is 1.0 mm The screen is placed at a distance of 2.5 m from the slits and the separation between the slits is 10 mm. Calculate the wavelength of light used for the experiment.

Questions · 79
17. Light Waves
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