Q.

The dimensional formula for a physical quantity x is M−1L3T−2.The errors in measuring the quantities M, L, and T, respectively, 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

X=M−1L3T−2ΔXX100=ΔMM+3ΔLL+2ΔTT100 =2+3×3+2×4=19%
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The dimensional formula for a physical quantity x is M−1L3T−2.The errors in measuring the quantities M, L, and T, respectively, are 2%,3%, and 4%. The maximum percentage of error that occurs in measuring the quantity x is