Q. No.Given below are two statements:
| Statement I: | Image formation needs regular reflection and/or refraction. |
| Statement II: | The variety in colour of objects we see around us is due to the constituent colours of the light incident on them. |
| 1. | Statement I is correct but Statement II is incorrect. |
| 2. | Statement I is incorrect but Statement II is correct. |
| 3. | Both Statement I and Statement II are correct. |
| 4. | Both Statement I and Statement II are incorrect. |
Pick the wrong statement in the context with a rainbow.
| 1. | Rainbow is a combined effect of dispersion, refraction, and reflection of sunlight. |
| 2. | When the light rays undergo two internal reflections in a water drop, a secondary rainbow is formed. |
| 3. | The order of colors is reversed in the secondary rainbow. |
| 4. | An observer can see a rainbow when his front is towards the sun. |
A beam of light from a source \(L\) is incident normally on a plane mirror fixed at a certain distance \(x\) from the source. The beam is reflected back as a spot on a scale placed just above the source \(L.\) When the mirror is rotated through a small angle \(\theta,\) the spot of the light is found to move through a distance \(y\) on the scale. The angle \(\theta\) is given by:
| 1. | \(\dfrac{y}{x}\) | 2. | \(\dfrac{x}{2y}\) |
| 3. | \(\dfrac{x}{y}\) | 4. | \(\dfrac{y}{2x}\) |
| 1. | \(45^\circ\) | 2. | \(30^\circ\) |
| 3. | \(55^\circ\) | 4. | \(50^\circ\) |
| 1. |  |
2. |  |
| 3. |  |
4. |  |
An object is placed on the principal axis of a concave mirror at a distance of \(1.5f\) (\(f\) is the focal length). The image will be at:
| 1. | \(-3f\) | 2. | \(1.5f\) |
| 3. | \(-1.5f\) | 4. | \(3f\) |
| 1. | \(30~\text{cm}\) away from the mirror. |
| 2. | \(36~\text{cm}\) away from the mirror. |
| 3. | \(30~\text{cm}\) towards the mirror. |
| 4. | \(36~\text{cm}\) towards the mirror. |
(Where \(m\) is the magnification produced by the mirror)
| 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 |
Codes:
| 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 |
A rod of length \(10~\text{cm}\) lies along the principal axis of a concave mirror of focal length \(10~\text{cm}\) in such a way that its end closer to the pole is \(20~\text{cm}\) away from the mirror. The length of the image is:
1. \(15~\text{cm}\)
2. \(2.5~\text{cm}\)
3. \(5~\text{cm}\)
4. \(10~\text{cm}\)
A concave mirror of the focal length \(f_1\) is placed at a distance of \(d\) from a convex lens of focal length \(f_2\). A beam of light coming from infinity and falling on this convex lens-concave mirror combination returns to infinity. The distance \(d\) must be equal to:
1. \(f_1+f_2\)
2. \(-f_1+f_2\)
3. \(2f_1+f_2\)
4. \(-2f_1+f_2\)
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