Q.

The dimensional formula of a physical quantity x is [M-1 L3 T-2]. The errors in measuring the quantities M, L and T are 2%, 3% and 4%. The maximum percentage of error that occurs in measuring, the quantity x is

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a

9

b

10

c

14

d

19

answer is D.

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Detailed Solution

As x ∝ m-1l3t-2 so ∆xx=±∆mm+3∆ll+2∆tt% error ± [2 + 3 x 3 + 2 x 4 ] %= ± 19%
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The dimensional formula of a physical quantity x is [M-1 L3 T-2]. The errors in measuring the quantities M, L and T are 2%, 3% and 4%. The maximum percentage of error that occurs in measuring, the quantity x is