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The percentage errors in the measurement...

The percentage errors in the measurement of mass and speed are `2% and 3%` , respectively . How much will be the maximum error in the estimation of `KE` obtained by measuring mass and speed?

A

0.11

B

0.08

C

0.05

D

0.01

Text Solution

Verified by Experts

The correct Answer is:
B
`K propmv^(2)rArr (DeltaK)/(K)=(Deltam)/(m)+(Deltav)/(v)`
& error in kinetic energy `= 2 + 2(3) = 8 %`
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ALLEN-ERROR AND MEASUREMENT-Part-2(Exercise-1)
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  2. The percentage errors in the measurement of mass and speed are 2% and ...

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

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  4. An experiment measures quantites a, b, c and X is calculated from the ...

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  5. If error in measuring diameter of a circle is 4 %, the error in the ra...

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  6. If the percentage errors of A,B,and C are a, b, and c, respectively ,t...

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  7. The diameter of a wire is measured with a screw gauge having least cou...

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  8. While measuring the acceleration due to gravity by a simple pendulum ,...

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

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  10. The pressure on a square plate is measured by measuring the force on t...

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  11. When a copper sphere is heated, maximum percentage change will be obse...

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  12. The period of oscillation of a simple pendulum in the experiment is re...

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  13. The significant digits in 200.40 are

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  14. A scientist performs an experiment in order to measure a certain physi...

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  15. A physical quantity X is represented by X = (M^(x) L^(-y) T^(-z). The ...

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  16. If error in measuring diameter of a circle is 4 %, the error in circum...

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  17. A wire has a mass 0.3+-0.003g, radius 0.5+-0.005mm and length 6+-0.06c...

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  18. The length of a cylinder is measured with a meter rod having least cou...

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

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  20. What is the fractional error in g calculated from T = 2 pi sqrt((l)/(g...

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