Dispersion through Prisms

Q. If the refractive indices of crown glass for red, yellow and violet colours are 1.5140, 1.5170 and 1.5318 respectively and for flint glass these are 1.6434, 1.6499 and 1.6852 respectively, then the dispersive powers
for crown and flint glass are respectively

1. 0.034 and 0.064
2. 0.064 and 0.034
3. 1.00 and 0.064
4. 0.034 and 1.0

Q. White light is passed through a prism of angle $5^{\circ }$. If the refractive indices for red and violet colours are 1.641 and 1.659 respectively, the angle of dispersion between them is

1. ${0.090}^{\circ }$
2. ${3.295}^{\circ }$
3. ${3.205}^{\circ }$
4. $\text{None of these}$

Q. Two prisms A and B are in contact with each other.The dispersive powers of A and B are 0.04 and 0.03 respectively.The angular dispersion produced by A is $8^{\circ }$. The net angular dispersion produced by the combination, if the combination does not produce a net deviation is

1. ${14}^{\circ }$
2. $8^{\circ }$
3. $6^{\circ }$
4. $2^{\circ }$

Q. A small laser emits light at power $5\text{mW}$ and wavelength $633\text{nm}$. The laser beam is focused (narrowed) until its diameter matches the $1266\text{nm}$ diameter of a sphere placed in its path. The sphere is perfectly absorbing and has density $5\times {10}^3{\text{kg/m}}^3$. What is the magnitude of the acceleration that force alone would give the sphere ?

1. $3144{\text{m/s}}^2$
2. $3434{\text{m/s}}^2$
3. $3344{\text{m/s}}^2$
4. $300{\text{m/s}}^2$

Q. Flint glass prism is joined by a crown glass prism to produce dispersion without deviation. The refractive indices of these prisms for yellow ray are $1.602$ and $1.500$ respectively. If the angle of flint glass prism is ${10}^{\circ }$. Then the angle of crown glass prism will be :

1. ${12.04}^{\circ }$
2. ${11.50}^{\circ }$
3. ${13.25}^{\circ }$
4. ${20}^{\circ }$

Q. A small laser emits light at power $5\text{mW}$ and wavelength $633\text{nm}$. The laser beam is focused (narrowed) until its diameter matches the $1266\text{nm}$ diameter of a sphere placed in its path. The sphere is perfectly absorbing and has density $5\times {10}^3{\text{kg/m}}^3$. What is the magnitude of the acceleration that force alone would give the sphere ?

1. $3344{\text{m/s}}^2$
2. $300{\text{m/s}}^2$
3. $3434{\text{m/s}}^2$
4. $3144{\text{m/s}}^2$

Q. Dispersion is:

1. Bending of light, when it changes a medium
2. Splitting of light into its components
3. Both of the above
4. None of the above