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size of the image is 8/5 cm
Explanation: ho = 4 cm, u = -15 cm, power = -10 D, hi = ?
Power = 1/f = f = 1/p
f = 1/-10
f = 100/-10
f = - 10 cm
According to the lens formula:-
1/v - 1/u = 1/f
1/v - 1/-15 = 1/-10
1/v = 1/-10 + 1/-15
1/v = -3 +(-2)/30
1/v = -5 / 30
v = - 6 cm
According to the magnification formula:-
m = hi/ho = v/u
hi/4 = -6/-15
hi = 24/15
hi = 8/5 cm
Hope it helps you
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