The correct statement is:
| 1. | The intermediate image in a compound microscope is real, erect and magnified |
| 2. | Intermediate image in a compound microscope is real, inverted, but diminished |
| 3. | Intermediate image in a compound microscope is virtual, erect and magnified |
| 4. | Intermediate image in a compound microscope is real, inverted and magnified |
A ray of light is incident on an equilateral glass prism placed on a horizontal table as shown. For minimum deviation, a true statement is:

| 1. | \(PQ\) is horizontal |
| 2. | \(QR\) is horizontal |
| 3. | \(RS\) is horizontal |
| 4. | Either \(PQ\) or \(RS\) is horizontal |
| 1. | \(\frac{\sqrt{3}}{2} \) | 2. | \(1.5 \) |
| 3. | \(1.732 \) | 4. | \( 2\) |
A thin rod of length \(\dfrac{f}{3}\) lies along the axis of a concave mirror of focal length \(f.\) One end of its magnified, real image touches an end of the rod. The length of the image is:
| 1. | \(f\) | 2. | \(\dfrac{f}{2}\) |
| 3. | \(2f\) | 4. | \(\dfrac{f}{4}\) |
A thin equiconvex lens of power \(P\) is cut into three parts \(A,B,\) and \(C\) as shown in the figure. If \(P_1,P_2\) and \(P_3\) are powers of the three parts respectively, then:

| 1. | \(P_1=P_2=P_3\) | 2. | \(P_1>P_2=P_3\) |
| 3. | \(P_1<P_2=P_3\) | 4. | \(P_2=P_3=2P_1\) |
A point source of light \(B\) is placed at a distance \(L\) in front of the centre of a mirror of width \(d\) hung vertically on a wall. A man \((A)\) walks in front of the mirror along a line parallel to the mirror at a distance \(2L\) from it as shown. The greatest distance over which he can see the image of the light source in the mirror is:

1. \(\frac{d}{2}\)
2. \(d\)
3. \(2d\)
4. \(3d\)
| 1. | \(32.75\) | 2. | \(327.5\) |
| 3. | \(0.3275\) | 4. | None of the above |
A medium shows relation between \(i\) and \(r\) as shown. If the speed of light in the medium is \(nc\) then the value of \(n\) is:
| 1. | \(1.5\) | 2. | \(2\) |
| 3. | \(2^{-1}\) | 4. | \(3^{-\frac{1}{2}}\) |
A person can see clearly objects only when they lie between \(50~\text{cm}\) and \(400~\text{cm}\) from his eyes. In order to increase the maximum distance of distinct vision to infinity, the type and power of the correcting lens, the person has to use will be:
| 1. | \(\text{convex, +2.25 diopter}\) | 2. | \(\text{concave, -0.25 diopter}\) |
| 3. | \(\text{concave, -0.2 diopter}\) | 4. | \(\text{convex, +0.5 diopter}\) |