A concave lens with a focal length of \(-25~\text{cm}\) is sandwiched between two convex lenses, each with a focal length of \(40~\text{cm}.\) The power (in diopters) of the combined lens system would be:
1. | \(55\) | 2. | \(9\) |
3. | \(1\) | 4. | \(0.01\) |
A beam of light is incident vertically on a glass slab of thickness \(1~\text{cm},\) and refractive index \(1.5.\) A fraction \(A\) is reflected from the front surface while another fraction \(B\) enters the slab and emerges after reflection from the back surface. The time delay between them is:
1. | \(10^{-10}~\text{s}\) | 2. | \(5\times 10^{-10}~\text{s}\) |
3. | \(10^{-11}~\text{s}\) | 4. | \(5\times 10^{-11}~\text{s}\) |
Assertion (A): | There is no dispersion of light refracted through a rectangular glass slab. |
Reason (R): | Dispersion of light is the phenomenon of splitting of a beam of white light into its constituent colours. |
1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
3. | (A) is True but (R) is False. |
4. | Both (A) and (R) are False. |
Assertion (A): | If objective and eye lenses of a microscope are interchanged, then it can work as telescope. |
Reason (R): | The objective lens of telescope has small focal length. |
1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
3. | (A) is True but (R) is False. |
4. | Both (A) and (R) are False. |
1. | \(10\) cm | 2. | \(20\) cm |
3. | \(40\) cm | 4. | zero |
1. | \(6\) cm and \(48\) cm |
2. | \(48\) cm and \(6\) cm |
3. | \(8\) cm and \(64\) cm |
4. | \(64\) cm and \(8\) cm |
Statement I: | In this case, the frequency of light increases. |
Statement II: | In the above case, the refractive index of the medium increases. |
1. | Statement I is incorrect and Statement II is correct. |
2. | Both Statement I and Statement II are correct. |
3. | Both Statement I and Statement II are incorrect. |
4. | Statement I is correct and Statement II is incorrect. |