Given below are two statements:
| Assertion (A): | A double convex lens \((\mu=1.5)\) has a focal length \(10~\text{cm}.\) When the lens is immersed in water \(\left(\mu=\frac{4}{3}\right)\) its focal length becomes \(20~\text{cm}.\) |
| Reason (R): | \(\dfrac{1}{f}=\dfrac{\mu_1-\mu_m}{\mu_m}\left(\dfrac{1}{R_1}-\dfrac{1}{R_2}\right)\) |
| 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. | (A) is False but (R) is True. |
Given below are two statements:
| Assertion (A): | The formula connecting u, v and f for a spherical mirror is valid only for mirrors whose sizes are very small compared to their radii of curvature. |
| Reason (R): | Laws of reflection are strictly valid for plane surfaces, but not for large spherical mirrors. |
| 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. |
| Column-I | Column-II | ||
| A. | \(m= -2\) | I. | convex mirror |
| B. | \(m= -\frac{1}{2}\) | II. | concave mirror |
| C. | \(m= +2\) | III. | real Image |
| D. | \(m= +\frac{1}{2}\) | IV. | virtual Image |
| A | B | C | D | |
| 1. | I & III | I & IV | I & II | III & IV |
| 2. | I & IV | II & III | II & IV | II & III |
| 3. | III & IV | II & IV | II & III | I & IV |
| 4. | II & III | II & III | II & IV | I & IV |
Given below are two statements:
| Assertion (A): | A beam of white light passing through a thin hollow prism does not give spectrum. |
| Reason (R): | The speed of light inside and outside the prism is same. |
| 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. |
Given below are two statements:
| Assertion (A): | When white light is incident on a prism it will disperse. |
| Reason (R): | The refractive index of a medium depends on the wavelength of light. |
| 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. |
An object is at a distance of \(30~\text{cm}\) in front of a concave mirror of focal length \(10~\text{cm}.\) The image of the object will be:
| 1. | smaller in size. |
| 2. | inverted. |
| 3. | between focus and center of curvature. |
| 4. | all of these. |
A graph is plotted between the angle of deviation \(\delta\) in a triangular prism and the angle of incidence as shown in the figure. Refracting angle of the prism is:
| 1. | \(28^\circ~\) | 2. | \(48^\circ~\) |
| 3. | \(36^\circ~\) | 4. | \(46^\circ~\) |
Which of the following phenomena of light forms a rainbow?
1. reflection of light
2. refraction
3. total internal reflection
4. both \((2)\) and \((3)\)
There are certain materials developed in laboratories that have a negative refractive index (figure). A ray incident from the air (medium-\(1\)) into such a medium (medium-\(2\)) shall follow a path given by:
| 1. | ![]() |
| 2. | ![]() |
| 3. | ![]() |
| 4. | ![]() |
Suppose that the lower half of the concave mirror’s reflecting surface in the given figure is covered with an opaque (non-reflective) material. What effect will this have on the image of an object placed in front of the mirror?
| 1. | the image will show only half of the object |
| 2. | the image will show the whole of the object |
| 3. | the intensity of the image will be low |
| 4. | both (2) and (3) |