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A cuboid has volume V=lxx2lxx3l, where l...

A cuboid has volume `V=lxx2lxx3l`, where l is the length of one side. If the relative percentage error in the measurment of l is 1%, then the relative percentage error in measurement of V is

A

0.18

B

0.06

C

0.03

D

0.01

Text Solution

Verified by Experts

The correct Answer is:
C
Volume of cuboid, `V=lxx2lxx3l=6l^(3):.(DeltaV)/(V)xx100=3((Deltal)/(l))=3% [:.(Deltal)/(l)xx100=1%]`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MEASUREMENTS-PRACTICE EXERCISE (EXERCISE - 1)
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  10. The heat generated in a circuit is dependent upon the resistance, cur...

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  11. A force F is applied on a square plate of side L. If the percentage er...

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  12. A cuboid has volume V=lxx2lxx3l, where l is the length of one side. If...

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  14. The radius of a ball is (5.2pm0.2) cm. The percentage error in the vol...

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  15. The random error in the arithmetic mean of 100 observations is x, then...

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  16. A physical quantity Q is calculated according to the expression Q=(A...

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  17. A capillary tube is attached horizontally to a constant pressure head ...

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  18. The length of a strip measured with a meter rod is 10.0cm. Its width m...

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  19. The length of a cylinder is measured with a meter rod having least cou...

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  20. A physical quantity is given by X=M^(a)L^(b)T^(c). The percentage erro...

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