Q1.
Find the size, nature and position of image formed when an object of size 1 cm is placed at a distance of 15 cm from a concave mirror of focal length 10 cm.
( Ans v= –30 cm, nature = real and inverted, size = h’ = –2 cm )
Q2.
The image of an object formed by a mirror is real, inverted and is of magnification –1. If the image is at a distance of 40 cm from the mirror, where is the object placed? Where would the image be if the object is moved 20 cm towards the mirror? State reason and also draw a ray diagram for the new position of the object to justify your answer.
( Ans at infinity )
Q3.
A convex mirror used for rear- view on an automobile has a radius of curvature of 3.00 m. If the bus is located at 5.00m from this mirror, find the position, nature and size of image.
( v=+1.15 cm, m=+0.23, nature = virtual, erect and diminished )
Q4.
An object 2 cm high is placed at distance of 16 cm from a concave mirror which produces a real image 3cm high.
(i) What is the focal length of mirror.
(ii) Find position of image?
( f= –9.6 cm ) ( v= –24 cm )
Q5.
A concave mirror of focal length 10cm is placed at a distance of 35cm from a wall. How far from the wall an object be placed so that its image formed by the mirror falls on the wall?
( distance of the object from the wall= 21 cm )
Q6.
A truck uses a convex mirror of radius of curvature 2.0m as a rear-view mirror. A Maruti Car is coming behind the truck at a distance of 10m. What will be the position and size of the image of the car when observed by the truck driver through the convex mirror ?
( f=1 m, v=0.9 m, h’=1/11 of the actual size of the car )
Q7.
A 2.0 cm tall object is placed perpendicular to the principal axis of the concave mirror of focal length 10 cm . The distance of the object from the mirror is 15 cm. Find the nature, size and position of the image formed. Represent the situation with the help of a ray diagram.
( v= –30 cm, h’=–4 cm, nature =real, inverted and magnified )
Q8.
A 2cm high object is placed at a distance of 32 cm from a concave mirror. The image is real, inverted and 3cm in size. Find the focal length of the mirror and the position where the image is formed?
( v= –48 cm, f= –19.2 cm )
Q9.
A student wants to project the image of the candle flame on a screen 80 cm in front of a mirror by keeping the candle flame at a distance of 20 cm from its pole.
(a) Which type of mirror should the student use?
(b) Find the magnification of the image produced.
(c) Find the distance between the object and its image.
( m = –4, distance = 60 cm )
Q10.
A 6 cm tall object is placed perpendicular to the principal axis of a concave mirror of focal length 30 cm. The distance of the object from the mirror is 45 cm. Determine the position, nature and size of the image formed. Also draw labelled ray diagram to show the image formation in this case.
( v = –90 cm, size = –12 cm , real and inverted )
