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Q.

In order to determine the Young’s Modulus of a wire of radius 0.2 cm (measured using a scale of least count=0.001 cm) and length 1m (measured using a scale of least count=1mm), a weight of mass 1kg(measured using a scale of least count =1 g)was hanged to get the elongation of 0.5 cm(measured using scale of least count 0.001 cm).What will be the fractional error in the value of Young ‘s Modulus determined by this experiment?

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a

0.9%

b

0.14%

c

1.4%

d

9%

answer is C.

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Detailed Solution

Y=mgLπr2e ,  ⇒ dYY%=(dmm+dLL+2drr+dee)×100 ⇒ dYY%=[11000+11000+2(0.0010.2)+(0.0010.5)]×100  =1.4%
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