a motor car is fitted with a convex mirror of focal lenth 20 cm .a second car 2m broad 1.6m high is 6m away feom the first car .calculate the position of the second car,size and nature
Answers
it is given that a convex mirror is fitted on a first motor car.
focal length of convex mirror , f = +20cm
distance of second car from mirror , u = -6m = -600 cm
using mirror formula,
1/v + 1/u = 1/f
or, 1/v + 1/-600 = 1/20
or, 1/v = 1/20 + 1/600
or, 1/v = 30/600 + 1/600
or, 1/v = 31/600
or, v = 600/29 = 19.35
hence, position of image of second car is 19.35 cm. since, mirror is convex image will be virtual and diminished.
size of image = magnification × size of object
= (-v/u) × 1.6m [ height of object is 1.6m]
= (-19.35/600) × 1.6 × 100 cm
= -19.35 × 1.6/6
= 5.16 cm
Answer:
position = 19.35
and
size = 5.16 cm
Explanation:
f=20cm
v=-6m = -600cm
1/v=1/u=1/f
1/v+1/600=1/20
1/v=1/20+1/600
1/v=30/600+1/600
1/v=29/600
v=19.25 and
size of image * magnification *size of object
(-v/u)*1.6m*100
(-19.35/600)*1.6*100
-19.25*1.6/6
= 5.16cm
hence the size of image is 5.16
Hope I help you