An object is placed at 5 cm in front of a concave mirror with a radius of curvature of 15 cm. The nature of the image is:

1. Magnified, real, and inverted

2. Magnified, virtual, and erect

3. Magnified, real, and erect

4. None of these

Suppose while sitting in a parked car, you notice a jogger approaching towards you in the side view mirror of R = 2 m. If the jogger is running at a speed of $5 m/s$, how fast does the image of the jogger appear to move when the jogger is 39 m away?

$$\begin{gathered} 1. 5 m/s \\ 2. \frac{1}{60} m/s \\ 3. \frac{1}{280} m/s \\ 4. 10 m/s \end{gathered}$$

The earth takes 24 h to rotate once about its axis. How much time does the sun take to shift by 1° when viewed from the earth?

1. 3 minutes

2. 2 minutes

3. 1 minutes

4. 4 minutes

Light from a point source in the air falls on a convex spherical glass surface (n = 1.5 and radius of curvature = 20 cm) of a glass medium which extends till infinity on other side . The distance of the light source from the glass surface is 100 cm. At what position the image is formed?

1. at a distance of 200 cm from the glass surface, in the direction of incident light.

2. at a distance of 100 cm from the glass surface, in the direction of incident light.

3. at a distance of 200 cm from the glass surface, in the opposite direction of incident light.

4. at a distance of 100 cm from the glass surface, in the opposite direction of incident light.

A magician during a show makes a glass lens with n = 1.47 disappear in a trough of liquid. What is the refractive index of the liquid? 
1. 1.47
2. 1.33
3. 0.66
4. 1.5

If f = 0.5 m for a glass lens, what is the power of the lens?

1. +0.4D

2. +4.0D

3. +0.2D

4. +2.0D

The radii of curvature of the faces of a double convex lens are 10 cm and 15 cm. Its focal length is 12 cm. What is the refractive index of glass?

1. 1.3

2. 1.2

3. 1.5

4. 1.4

A convex lens has a 20 cm focal length in air. What is the focal length in water? (Refractive index of air-water = 1.33, refractive index for air-glass = 1.5)

1. +72.72 cm

2. +78.2 cm

3. -72.72 cm

4. +70.2 cm

Find the position of the image formed by the lens combination in the given figure.

1. Final image is formed 30 cm to the right of the third lens.

2. Final image is formed 20 cm to the left of the third lens.

3. Final image is formed 30 cm to the left of the third lens.

4. Final image is formed 20 cm to the right of the third lens.

What focal length should the reading spectacles have for a person for whom the least distance of distinct vision is 50 cm?

1. -50 cm

2. +50 cm

3. -60 cm

4. +60 cm