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If there is an error of 0.01 cm in the d...

If there is an error of 0.01 cm in the diameter of a sphere, then percentage error in surface area when the radius =5 cm, is

A

`0.005%`

B

`0.05%`

C

`0.1%`

D

`0.2%`

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-Exercise
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  2. If there is an error of a% in measuring the edge of a cube, then pe...

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  3. If an error of k % is made in measuring the radius of a sphere, then p...

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  4. The height of a cylinder is equal to the radius. If an error of alp...

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  5. While measuring the side of an equilateral triangle an error of k %...

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  6. Use differentials to find the approximate value of (log)e(4. 01), havi...

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

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  8. If the ratio of base radius and height of a cone is 1:2 and percentage...

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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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  11. The approximate value of (33)^(1//5) is (a) 2.0125 (b) 2.1 (c) 2.01...

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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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