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CBSE Class 10 Answered

The radius of curvature of a concave mirror is 12 cm. The image obtained by it is real and has magnification 3/2. Find the object distance and image distance.
Asked by dalwadiguruprasad | 20 Jul, 2019, 09:05: PM
answered-by-expert Expert Answer
R = 12cm 
m = 3/2 
Thus, f= 12/2 = 6 cm
 
m equals fraction numerator negative v over denominator u end fraction 
3 over 2 equals fraction numerator negative v over denominator u end fraction
3u = -2v
Thus, u = -2v/3 
3u + 2v =0
By mirror formula, 
1/f = 1/ v + 1/ u
 
Thus,
1/ (-6) = 1/ (v) + 1/(-2v/3)
Solving this we get,
v  = 3 cm 
Thus, 
3u = -2 × 3 
Thus, 
 
u = - 2 cm 
Thus, image distance is 3 cm and object distance is 2cm 
Answered by Shiwani Sawant | 21 Jul, 2019, 12:28: AM

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