Consider the two statements given below
S 1: When percentage errors Δm/m in the measurement of mass and speed of an object are 2 and 1 respectively, the percentage error in the measurement of the kinetic energy of the object is 4%.
S 2: The kinetic energy of the object is given by mass × speed.

Correct option is C

Correct answer is C
Calculation:
Kinetic energy (KE) is given by KE = 1/2 × m × v2, where m is the mass and v is the speed.
The percentage error in KE can be calculated using the formula for error propagation:
(% error in KE) = (% error in m) + 2 × (% error in v).
Substituting the given values:
(% error in KE) = 2% + 2 × 1% ⇒ 2% + 2% = 4%.
Thus, S 1 is correct because the percentage error in KE is indeed 4%.
S 2 is correct as it accurately defines the formula for kinetic energy.
Since S 2 explains the formula used in the calculation of S1, it is the correct explanation of S 1.