Question

A square wire of side 3.0 cm is placed 25 cm away from a concave mirror of focal length 10 cm. What is the area enclosed by the image of the wire? The centre of the wire is on the axis of the mirror, with its two sides normal to the axis.  

Solution

Correct option is

4.0 cm2

 

In usual notations, we have

                                    

The distance v of image from the mirror is given by

                                  

   

The negative sign indicates that the image is formed on the same side as the object, that is, infront the mirror.  

The magnification is  

                                   

Since the magnification is negative, the image is real (inverted).

Now, the side of the square is 3.0 cm, that is, y1 = +3.0 cm. The side of the image of the square is given by (m = y2/y1)   

                                

∴ area enclosed by the image of the square is

                                                     (–2.0 cm) × (–2.0 cm) = 4.0 cm2

SIMILAR QUESTIONS

Q1

The minimum light intensity that can be perceived by the eye is about 10–10 watt per metre2. The number of photons of wavelength  metre that must enter the pupil of area 10–4 m2 per sec for vision is approximately equal to:    

Q2

An observer looks at a tree of height 15 metres with a telescope of magnifying power 10. To him the tree appears:  

Q3

The distance between the eye lens and cross-wires in Ramsden’s eye-piece which has a field lens of focal length 1.2 cm is:

Q4

If an astronomical telescope has objective and eye-piece of focal lengths 200 cm and 4 cm respectively, then the magnifying power of the telescope for the normal vision is:    

Q5

A plane mirror which rotates 104 times per minute reflects light on to a stationary mirror 50 m away. This mirror reflects the light normally so that it strikes the rotating mirror again. The image observed in the rotating mirror is shifted through 2.4 minutes from the position it occupies. When the rotating mirror is stationary, what is the speed of light? 

Q6

A source of light lies on the angle bisector of two plane mirrors inclined at an angle θ, so that the light reflected from one mirror does not each other mirror will be 

Q7

A rod of length 10 cm lies along the principal axis of a concave mirror of focal length 10 cm in such a way that the end closer to the pole is 20 cm away from it. Find the length of the image

                                                        

Q8

Two objects A and B, when placed in turn in front of a concave mirror of focal length 7.5 cm give images of equal size. If A is two times the size ofB and is placed at a distance of 15cm from the mirror, find the distance ofB from the mirror

Q9

A 4.5 cm long needle is placed 12 cm from a convex mirror of focal length 15 cm. find the location and the length of the image of the needle. What happens when the needle is moved farther from the mirror