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MHT CET 202621 AprilEvening Shift
Exam
MHT CET
Year
2026
Date
21 April
Shift
Evening Shift
Subject
Physics
Chapter
Units and Dimensions

MHT CET 2026 · 21 April · Evening Shift · Physics · Units and Dimensions

If the errors involved in the measurement of a side and the mass of...

If the errors involved in the measurement of a side and the mass of a cube are 2%2\% and 4%4\% respectively, the maximum permissible error in the density of the material is

Options

  1. A2%2\%
  2. B6%6\%
  3. C10%10\%
  4. D12%12\%

Correct answer

C. 10%10\%

Step-by-step solution

The density of a cube is given by ρ=ml3\rho = \dfrac{m}{l^3}

The maximum permissible percentage error in density is given by

Δρρ×100=(Δmm+3Δll)×100\dfrac{\Delta \rho}{\rho} \times 100 = \left( \dfrac{\Delta m}{m} + 3 \dfrac{\Delta l}{l} \right) \times 100

Given Δmm×100=4%\dfrac{\Delta m}{m} \times 100 = 4\% and Δll×100=2%\dfrac{\Delta l}{l} \times 100 = 2\%

Δρρ×100=4%+3×2%=10%\dfrac{\Delta \rho}{\rho} \times 100 = 4\% + 3 \times 2\% = 10\%

Answer: 10%10\%
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