Q. No.Assume that the corner of \(O\) of the room is the origin, and the axes \(x,y,z\) are along the edges. The three walls meeting orthogonally at \(O\) are perfect mirrors. A ray of light travelling parallel to the vector \(-(\hat i+2\hat j+\hat k)\) is incident on the \(y\text-z\) mirror (wall). The emerging ray, after all reflections, will be along:
1.
\(\hat i-2\hat j-\hat k\)
2.
\(\hat i+\hat k-2\hat j\)
3.
\(-\hat i+2\hat j+\hat k\)
4.
\(\hat i+2\hat j+\hat k\)
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| 1. | normally from the surface \(BC.\) |
| 2. | normally from the surface \(AC.\) |
| 3. | either from the surface \(BC\) or \(AC,\) normally. |
| 4. | either from the surface \(BC\) or \(AC,\) at an angle of emergence greater than \(60^{\circ}\) but less than \(90^{\circ}.\) |
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| Assertion (A): | If two converging lenses are introduced into the path of a parallel beam of light, the emerging beam cannot be diverging. |
| Reason (R): | The converging lenses have positive powers. |
| 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. |
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1. \(40\) cm
2. \(20\) cm
3. \(45\) cm
4. \(60\) cm
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| 1. | remains unchanged |
| 2. | is displaced along \(+y\) by \((\mu-1)Af\) |
| 3. | is displaced along \(-y\) by \((\mu-1)Af\) |
| 4. | is displaced along \(+x\) by \((\mu-1)Af\) |
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1. down by \(1~\text{cm}\)
2. down by \(2~\text{cm}\)
3. up by \(1~\text{cm}\)
4. up by \(2~\text{cm}\)
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1. \(15^\circ\)
2. \(45^\circ\)
3. \(75^\circ\)
4. \(105^\circ\)
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1. \(1.5\)
2. \(1.75\)
3. \(2.0\)
4. \(2.5\)
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| 1. | \((\mu-1)t\) | 2. | \(2(\mu-1)t\) |
| 3. | \(\mu t\) | 4. | \(2\mu t\) |
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| 1. | \(P_1+P_2\) | 2. | \(|P_1-P_2|\) |
| 3. | \({\Large\frac{P^2_1}{P_2}}\) | 4. | \({\Large\frac{P^2_2}{P_1}}\) |
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