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A physical quantity x depends upon three physical quantities ‘a’, ‘b’ and ‘c’ and they are related by the equation $x = \frac{\sqrt{a} b^{2}}{c^{3}}$ . If the errors in measuring ‘a’, ‘b’ and ‘c’ are respectively 4%, 1% and 1% find the maximum possible error in ‘x’.

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detailed solution

Correct option is C

x=a1/2.b2.c−3∴ Δxxmax×100%=12Δaa×100%+2Δbb×100%+3Δcc×100%=12×4%+2×1%+3×1%=7%

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2023 | www.infinitylearn.com

A physical quantity x depends upon three physical quantities ‘a’, ‘b’ and ‘c’ and they are related by the equationx=ab2c3 . If the errors in measuring ‘a’, ‘b’ and ‘c’ are respectively 4%, 1% and 1% find the maximum possible error in ‘x’.

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Ready to Test Your Skills?

free study material

A physical quantity x depends upon three physical quantities ‘a’, ‘b’ and ‘c’ and they are related by the equation $x = \frac{\sqrt{a} b^{2}}{c^{3}}$ . If the errors in measuring ‘a’, ‘b’ and ‘c’ are respectively 4%, 1% and 1% find the maximum possible error in ‘x’.