A concave mirror of focal length \(100\) cm is used to obtain the image of the sun which subtends an angle of \(30'.\) The diameter of the image of the sun will be:
1. \(1.74\) cm
2. \(0.87\) cm
3. \(0.435\) cm
4. \(100\) cm
| 1. | \(4~\text{cm}^2 \) | 2. | \(6~\text{cm}^2 \) |
| 3. | \(16~\text{cm}^2 \) | 4. | \(36~\text{cm}^2 \) |
In an experiment of find the focal length of a concave mirror a graph is drawn between the magnitudes of u and v. The graph looks like
| 1. |  |
2. |  |
| 3. |  |
4. |  |
As the position of an object \((u)\) reflected from a concave mirror is varied, the position of the image \((v)\) also varies. By letting the \(u\) change from \(0\) to infinity, the graph between \(v\) versus \(u\) will be:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
For a concave mirror, if the virtual image is formed, the graph between m and u is of the form :
| 1. |  |
2. |  |
| 3. |  |
4. |  |
| 1. | \(5\) cm/sec towards the mirror |
| 2. | \(4\) cm/sec towards the mirror |
| 3. | \(4\) cm/sec away from the mirror |
| 4. | \(9\) cm/sec away from the mirror |
Match the corresponding entries of Column 1 with Column 2. [Where m is the magnification produced by the mirror]
Column 1 Column 2
A. m=-2 a. Convex mirror
B. m=-1/2 b. Concave mirror
C. m=+2 c. Real image
D. m=+1/2 d. Virtual Image
1. A->a and c;B->a and d; C->a and b; D->c and d
2. A->a and d; B->b and c; C->b and d; D-> b and c
3. A->c and d; B->b and d;C->b and c;D->a and d
4. A->b and c; B->b and c; C->b and d; D->a and d
| 1. | \(10\) cm | 2. | \(15\) cm |
| 3. | \(2.5\) cm | 4. | \(5\) cm |
| 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. |
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