H C Verma Solutions for Chapter: Speed of Light, Exercise 4: EXERCISES

In an experiment to measure the speed of light by Fizeau's apparatus, the following data are used.

Distance between the mirrors$=12.0 \mathrm{km}$,

the number of teeth in the wheel$=180$.

Find the minimum angular speed of the wheel for which the image is not seen in ${10}^4 deg s^{-1}$.

In an experiment with Foucault's apparatus, the various distances used are as follows.

Distance between the rotating and the fixed mirror$=16 \mathrm{m}$.

Distance between the lens and the rotating mirror$=6 \mathrm{m}$.

Distance between the source and the lens$=2 \mathrm{m}$.

When the mirror is rotated at a speed of $356$ revolutions per second, the image shifts by $0.7 \mathrm{mm}$. The speed of light is  $2.\mathrm{n}7\times {10}^8 \mathrm{m} {\mathrm{s}}^{-1}$. Then find the value of integer $\mathrm{n}$.

In a Michelson experiment for measuring speed of light, the distance travelled by light between two reflections from the rotating mirror is $4.8 \mathrm{km}$. The rotating mirror has a shape of a regular octagon. At what minimum angular speed of the mirror (other than zero) the image is formed at the position where a non-rotating mirror forms it? If the answer is $7.8\times {10}^x \mathrm{rev} {\mathrm{s}}^{-1}$, then write the value of $x$.