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JEE Main 2026 (6 Apr, Shift 2) · Errors in Measurement

Errors in Measurement question from JEE Main 2026 (6 Apr, Shift 2)

Q17JEE Main 2026 · 6 APR · SHIFT 2Easy

Errors in Measurement

The percentage error in the calculated volume of a sphere, if there is 2%2\% error in its diameter measurement, is ______.

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Answer: (c)

  1. V=πd36V = \frac{\pi d^3}{6}, so ΔVV=3Δdd\frac{\Delta V}{V} = 3\frac{\Delta d}{d}
  2. =3(2%)=6%= 3(2\%) = 6\%
  3. So the answer is (c) 6.
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