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The length of string of simple pendulum is 101.4 cm and the diameter of bob is 2.64 cm. What is the effective length of simple pendulum upto required significant figures?

a
102.72 cm
b
102.7 cm
c
102.73 cm
d
102.6 cm

detailed solution

Correct option is B

ℓeffective=ℓ=ℓ0+r ⇒ℓ=101.4+2.642 ⇒ℓ=101.4+1.32 ⇒ℓ=102.72cm Since, in addition the least number of decimal figures which occur among the added quantities is to be taken. Here the number of least decimal figure in the length is 1, hence ℓ=102.7cm

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