Minimum distance between real object and image produced by a concave mirror of focal length 20 cm is:

(1) 80 cm

(2) zero

(3) 20 cm

(4) 40 cm

A prism of refracting angle $30°$, has one of the refracting faces polished. A beam of light incident on the other refracting face with i = $60°$ will retrace its path, if the refractive index of prism would be

1.  $\sqrt{2}$

2.  $\sqrt{3}$

3.  $\sqrt{5}$

4.  $\sqrt{7}$

A convex mirror of focal length \(20~\text{cm}\) forms an image that is a quarter of the object's size. The distance of the object from the mirror is:
1. \(50~\text{cm}\)
2. \(-60~\text{cm}\) 
3. \(-40~\text{cm}\) 
4. \(-70~\text{cm}\)

Two thin convex lenses of focal length 20cm and 5cm are placed 10cm apart. The power of the combination of lenses is 

1. 10D

2. 15D

3. 20D

4. 25D

The maximum magnification which can be obtained with the help of a simple microscope is 6. If a point object is placed at distance 3 cm from the microscope, then what was be the position of the image?

(1) -7.5 cm

(2) -6.4 cm

(3) 8.2 cm

(4) 5.45 cm

A converging spherical wavefront is obtained from

(1) Light emerging from a convex lens when a point source is placed at its focus

(2) A parallel beam of light incident on the convex lens

(3) Light converging at a point

(4) Both (2) & (3)

A ray is incident normally on a right-angled prism whose R.I is $\sqrt{3}$ and prism angle $\mathrm{A}=30°$. Deviation to the ray is equal to

(1) $\frac{\mathrm{\pi }}{2}$

(2) $\frac{\mathrm{\pi }}{6}$

(3) $\frac{3\mathrm{\pi }}{2}$

(4) 2$\mathrm{\pi }$

Two convex lenses of focal lengths $f_1<mspace\; width="1em"></mspace>and<mspace\; width="1em"></mspace>f_2$ are separated co-axially by a distance d. The power of the combination will be zero if d equals to

1. $\sqrt{f_1{f}_2}$

2. $f_1+f_2$

3. $\frac{f_1-f_2}{2}$

4. $\frac{f_1+f_2}{2}$

A thin equiconvex lens of power P is cut into three parts A, B, and C as shown in the figure. If $P_1,<mspace\; width="1em"></mspace>P_2<mspace\; width="1em"></mspace>\mathrm{and}<mspace\; width="1em"></mspace>P_3$ are powers of the three parts respectively, then 

1.  $P_1<mspace\; width="1em"></mspace>=<mspace\; width="1em"></mspace>P_2<mspace\; width="1em"></mspace>=<mspace\; width="1em"></mspace>P_3$

2.  $P_1<mspace\; width="1em"></mspace>><mspace\; width="1em"></mspace>P_2<mspace\; width="1em"></mspace>=<mspace\; width="1em"></mspace>P_3$

3.  $P_1<mspace\; width="1em"></mspace><<mspace\; width="1em"></mspace>P_2<mspace\; width="1em"></mspace>=<mspace\; width="1em"></mspace>P_3$

4.  $P_2<mspace\; width="1em"></mspace>=<mspace\; width="1em"></mspace>P_3<mspace\; width="1em"></mspace>=<mspace\; width="1em"></mspace>2P_1$