JEE Main 2024 Physics question
The measured value of the length of a simple pendulum is 20 cm with 2 mm accuracy. The time for 50 oscillations was measured to be 40 seconds with 1 second resolution. From these measurements, the accuracy in the measurement of acceleration due to gravity is N%. The value of N is
Answer: (D)
Solution
g = 4π²L/T², so Δg/g = ΔL/L + 2ΔT/T = 2/200 + 2(1/40) = 0.01 + 0.05 = 0.06, i.e. 6%.