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Q.

A physical quantity X is given by the relation X = 2k2l2mn The percentage error in the measurements of k, l, m and n are 1%, 2% , 3% and 4% respectively. The value of X is uncertain by

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a

10%

b

12%

c

8%

d

none of these

answer is B.

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Detailed Solution

Given relation : X = 2k2l2mnX ∝ k2l2m-1n-12Percentage error in measurement of X,∆XX×100 = (3∆kk+2∆ll+∆mm+12∆nn)×100= 3%+4%+3%+2% = 12%It means, the value of X is uncertain by 12%.
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A physical quantity X is given by the relation X = 2k2l2mn The percentage error in the measurements of k, l, m and n are 1%, 2% , 3% and 4% respectively. The value of X is uncertain by