Physical World, Units and Measurements
- The percentage errors in the measurement of mass and speed are 2% and 3% respectively. The error in kinetic energy obtained by measuring mass and speed will be
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Percentage error in mass 
∆m × 100 
= 2 and percentage error in speed ∆v × 100 m v ⇒ ∆v = 3 and ∆m = 2 v 100 m 100 Kinetic energy = 1 mv2 ∝ mv2 2 ∴ Error in measurement of kinetic energy = ∆m + 2 ∆v m v
By Binomial Function ,Req. error = ∆m + 2 × ∆v m v = 2 + 2 × 3 = 8 = 8% 100 100 100
∴ %age error = 8%.
Correct Option: C
Percentage error in mass ∆m × 100 = 2 and percentage error in speed ∆v × 100 m v ⇒ ∆v = 3 and ∆m = 2 v 100 m 100 Kinetic energy = 1 mv2 ∝ mv2 2 ∴ Error in measurement of kinetic energy = ∆m + 2 ∆v m v
By Binomial Function ,Req. error = ∆m + 2 × ∆v m v = 2 + 2 × 3 = 8 = 8% 100 100 100
∴ %age error = 8%.
