Verified Solution • 2025–26 Session moderate

QJEEM22Ph6955: JEE Main 2022 Physics - Class 11 JEEM22Ph6955 Solution: A silver wire has a mass (0.6 0.006) g, radius (0.5 0.005) mm…

A silver wire has a mass (0.6 ±\pm 0.006) g, radius (0.5 ±\pm 0.005) mm and length (4 ±\pm 0.04) cm. The maximum percentage error in the measurement of its density will be :

Multiple Choice Options

  • A 4%
  • B 3%
  • C 6%
  • D 7%

Step-by-Step Verified Solution

ρ=mV=mπr2×l\rho = {m \over V} = {m \over {\pi {r^2} \times l}}

∴\therefore % error in ρ=(0.0060.6+2×0.0050.5+0.044)×100\rho = \left( {{{0.006} \over {0.6}} + 2 \times {{0.005} \over {0.5}} + {{0.04} \over 4}} \right) \times 100

=4%= 4\%

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