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Q.

During measurement of kinetic energy T, the percentage error in measurement of mass of particle and momentum of particle are 3% and 2%, respectively. The percentage error in measurement of kinetic energy is

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a

3%

b

7%

c

2%

d

5%

answer is D.

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Detailed Solution

$∴ T = \frac{p^{2}}{2 m} or \frac{∆ T}{T} = 2 \frac{∆ p}{p} + \frac{∆ m}{m}$

Percentage error in kinetic energy is

$\frac{∆ T}{T} \times 100 = 2 \frac{∆ p}{p} \times 100 + \frac{∆ m}{m} \times 100$

= $2 \times 2 + 3 = 7 %$

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