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A wire has a mass (0.3+-0.003)g, radius ...

A wire has a mass `(0.3+-0.003)g`, radius `(0.5+-0.005)mm` and length `(6+-0.06)cm`. The maximum percentage error in the measurement of its density is -

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
`rho=(m)/(pir^(2)l)rArr(Deltarho)/(rho)=(Deltam)/(m)+2(Deltar)/(r)+(Deltal)/(l)rArr(Delta rho)/(rho)xx100`
`=(0.003)/(0.3)xx100+2x(0.005)/(0.5)+(0.06)/(6)xx100=4%`
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ALLEN -ERROR AND MEASUREMENT-Part-2(Exercise-1)
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  2. If error in measuring diameter of a circle is 4% the error in circumfe...

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  3. A wire has a mass (0.3+-0.003)g, radius (0.5+-0.005)mm and length (6+-...

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  4. The length of a cylinder is measured with a metre rod having least cou...

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  5. The volume of a sphere is .176 m^3 What will be the volume of 25 such ...

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  6. What is the fractional error in g calculated form T=2pisqrt(l//g) ? Gi...

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  7. The resistance R = V//i, where V = 100 +- 5 V and I = 10+- 0.2 A. What...

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  8. The length, breadth and thickness of a strip are (10.0+-0.1)cm,(1.00+-...

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  9. The internal and external diameters of a hollow cylinder are measured ...

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  10. The radius of a disc is 1.2 cm. Its area according to idea of signific...

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  11. The length l , breadth b, and thickness t of a block of wood were meas...

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  12. The following observations were taken for dtermining the surface tensi...

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  13. The least count of a stop watch is (1)/(5) second. The time of 20 osci...

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  14. The area of a rectangle of size 1.23 xx 2.345 cm is

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  15. What is vernier constant?

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  16. The vernier of a circular scale is divided into 30 divisons, which coi...

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  17. What is the reading of micrometer screw gauge shown in figure

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  18. In a vernier calliper, N divisions of vernier scale coincide with (N-1...

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  19. A vernier callipers having 1 main scale division = 0.1 cm to have a le...

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  20. In a vernier callipers, N divisions of the main scale coincide with N ...

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