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The radius of a sphere is measured as (1...

The radius of a sphere is measured as `(10 +- 0.02)cm`. The error in the measurment of its volume is

A

25.lcc

B

25.12 cc

C

2.51 cc

D

251.2 cc

Text Solution

Verified by Experts

The correct Answer is:
C

`V = 4/3 pi r^3 =. (Deltav)/(v) xx100 = 3(Deltar)/(r) xx 100`
`Delta v = 3 xx (Deltar)/(r) xxv`
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NARAYNA-UNITS AND MEASUREMENTS-EXERCISE -I (C.W)
  1. The length of a rod is measured as 31.52 cm. Graduations on the scale ...

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  2. If L = (20 +- 0.01) m and B = (10 +- 0.02)m then L//B is

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  3. The radius of a sphere is measured as (10 +- 0.02)cm. The error in the...

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  4. If length and breath of a plate are (40 +- 0.2)cm and (30 +- 0.1 ) cm,...

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  5. If the length of a cylinder is measured to be 4.28 cm with an error o...

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  6. When 10 observations are taken, the random error is x, When 100 oberse...

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  7. If L(1) = (2.02 +- 0.01)m and L(2) = (1.02 +- 0.01)m then L(1) + 2L(2)...

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  8. A body travels unifromly a distance of (20.0 +- 0.2)m in time (4.0 +- ...

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  9. If the value of 103.5kg is rounded off to three significant figures, t...

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  10. The number of significant figures in 6.023xx10^(23) "mole"^(-1) is

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  11. The side fo a cube is 2.5 metre. The volume of the cube of the signifi...

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  12. When a force is expressed in dyne, the number of sinificant figures is...

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  13. sqrt(2.0) is

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  14. The mass of a box is 2.3 kg . Two marbles of masses 2.15 g and 12.48 g...

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  15. The number of significant figures in 0.10200 is

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  16. When the number 0.046508 is reduced to 4 significant figures, then it ...

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  17. With due regard to significant figures, the value of (46.7-10.04) is

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  18. The value of pi//53.2 with due regard to singificant figures is,

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  19. By rounding off, (a) 20.96 and (b) 0.0003125 to 3 significant figures ...

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  20. If the unit of length is doubled and that of mass and time is halved, ...

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