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Q.

The focal length of a mirror is given by  2f=1V1U In finding the values of U and V the errors are equal and equal to P then relative error in f 

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a

P2(1U+1V)

b

P(1U+1V)

c

P2(1U1V)

d

P(1U1V)

answer is B.

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Detailed Solution

2f=1V1U          2f2Δf=1r2ΔV+1U2ΔU          2fΔff=1V2P1U2P          Δff=P(1V+1U)

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