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Question

Question: The image formed by a convex mirror of focal length 30 cm is a quarter of the size of the object. Th...

The image formed by a convex mirror of focal length 30 cm is a quarter of the size of the object. The distance of the object from the mirror is –

A

30 cm

B

90 cm

C

120 cm

D

60 cm

Answer

90 cm

Explanation

Solution

f = + 30 cm ; m = +14\frac { 1 } { 4 }

u = (m1 m)f\left( \frac { \mathrm { m } - 1 } { \mathrm {~m} } \right) \mathrm { f } =(14114)30\left( \frac { \frac { 1 } { 4 } - 1 } { \frac { 1 } { 4 } } \right) 30

= –3 × 30 = – 90 cm