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Q.

To estimate ‘g’ (from g = 4π2LT2), error in measurement of L is ±2% and error in measurement of T is ±3%. The error in estimated ‘g’ will be

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a

± 8%

b

± 6%

c

± 3%

d

± 5%

answer is A.

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Detailed Solution

g = 4π2LT2∆LL = ±2% = ±2 × 10-2∆TT = ±3% = ±3×10-2⇒∆gg = ∆LL+2∆TT  = 2 ×10-2 + 2×3×10-2= 8 × 10-2 ⇒±8%
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