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Percentage error in the measurement of m...

Percentage error in the measurement of mass and speed are 2% and 3% respectively. The error in the measurement of kinetic energy obtained by measuring mass and speed will be

A

`12%`

B

`10%`

C

`8%`

D

`2%`

Text Solution

Verified by Experts

The correct Answer is:
C
`E=(1)/(2)mv^(2)`
`therefore (DeltaE)/(E)xx100 (Deltam)/(m)xx100+2(DeltaV)/(V)xx100=2%+2xx3%=8%`
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DISHA PUBLICATION-PHYSICAL WORLD, UNITS AND MEASUREMENTS-Exercise - 1 : Concept Builder (Topicwise)(Topic 2 : Errors in Measurements and Significant Figures)
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  2. A physical quantity X is represented by X = (M^(x) L^(-y) T^(-z). The ...

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  3. Percentage error in the measurement of mass and speed are 2% and 3% re...

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  4. The least count of a stop watch is (1//5)s. The time 20 oscillations o...

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

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  6. The diameter of a sphere is measured with the instrument having least ...

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  7. In a vernier callipers, ten smallest divisions of the vernier scale ar...

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

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  9. In a simple pendulum experiment for the determination of acceleration ...

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  10. The relative error in the dertmination of the surface area of a spher...

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  11. The density of a cube is measured by measuring its mass and length of ...

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  12. A student measured the diameter of a wire using a screw gauge with lea...

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  13. In a vernier callipers, N divisions of vernier scale coincide with (N-...

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  14. A screw gauge has 200 equal divisions marked along the circumference o...

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  15. The refractive index of water measured by the relation m = (real \ dep...

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  16. N divisions on the main scale of a vernier callipers coincide with (N+...

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  17. A wire has a mass (0.3pm0.003) g, radius (0.5pm0.005) mm and length (6...

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  18. In a experiment the angle are required to be measured using an ...

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  20. A screw gauge gives the following reading when used to measure the dia...

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