Question

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 the kinetic energy obtained by measuring mass and speed –

• A. 11%
• B. 8%
• C. 5%
• D. 1%

Answer 1

Answer: (B)

8%

Answer 2

∴$E = \frac{1}{2}mv^{2}$

∴% Error in K.E.

= % error in mass + 2 × % error in velocity

= 2 + 2 × 3 = 8 %