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If an error of `k %` is made in measuring the radius of a sphere, then percentage error in its volume. k% (b) 3k% (c) 3k% (d) `k/3%`

A

`K%`

B

`3k%`

C

`2k%`

D

`k//3%`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-Exercise
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  5. While measuring the side of an equilateral triangle an error of k %...

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  7. A sphere of radius 100 mm shrinks to radius 98 mm, then the approxi...

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  9. The pressure p and the volume V of a gas are connected by the relation...

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  10. If y=x^n , then the ratio of relative errors in ya n dx is 1:1 (b) 2...

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  12. The circumference of a circle is measured as 28cm with an error of ...

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  13. In a right angled DeltaΑ BC, cos^2A +cos^2B cos^2C=

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  14. If there is an error of 0.01 cm in the diameter of a sphere, then perc...

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  15. If 1^(@)=0.017 radians, then the approximate value of sin46^(@) , is

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  16. Using differentials, find the approximate value of sqrt(401)

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  17. Using differentials, the approximate value if (627)^(1//4), is

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