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JEE Main 2018 · Errors in Measurement

Errors in Measurement question from JEE Main 2018

Q100JEE Main 2018Medium

Errors in Measurement

The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively 1.5% and 1%, the maximum error in determining the density is:

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Answer: (d)

  1. ρ=mL3⇒Δρρ=Δmm+3ΔLL\rho = \frac{m}{L^3} \Rightarrow \frac{\Delta \rho}{\rho} = \frac{\Delta m}{m} + 3\frac{\Delta L}{L}
  2. =1.5%+3(1%)=4.5%= 1.5\% + 3(1\%) = 4.5\%
  3. So the answer is (d) 4.5%4.5\%.
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