Q90 / 90 · JEE Main 2024 (31 Jan Shift 2) · Physics

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:

  • A
    4
  • B
    8
  • Correct answer
    C
    6
  • D
    5

Solution

Time period of a simple pendulum is given by, T=2πlg.

⇒g=4π2lT2

Therefore, fractional error will be

Δgg=Δll+2ΔTT

=0.220+2140

=1.220

Percentage change =1.220×100=6%

Hence, the correct answer is option: 'C'.

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