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MHT CET 202622 AprilEvening Shift
Exam
MHT CET
Year
2026
Date
22 April
Shift
Evening Shift
Subject
Physics
Chapter
Mathematics in Physics

MHT CET 2026 · 22 April · Evening Shift · Physics · Mathematics in Physics

The metre scale is used to measure the volume of a block. The...

The metre scale is used to measure the volume of a block. The measured length is 1010 cm, breadth is 2020 cm and height is 2525 cm. The percentage error in the measurement of volume of a block is… (least count of metre scale =1= 1mm)

Options

  1. A0.19 %0.19\ \%
  2. B1.9 %1.9\ \%
  3. C19 %19\ \%
  4. D0.019 %0.019\ \%

Correct answer

B. 1.9 %1.9\ \%

Step-by-step solution

The volume of the block is given by V=L×B×HV = L \times B \times H

The maximum relative error in the measurement of volume is

ΔVV=ΔLL+ΔBB+ΔHH\dfrac{\Delta V}{V} = \dfrac{\Delta L}{L} + \dfrac{\Delta B}{B} + \dfrac{\Delta H}{H}

Given L=10L = 10 cm, B=20B = 20 cm, H=25H = 25 cm and the least count of the metre scale is ΔL=ΔB=ΔH=1\Delta L = \Delta B = \Delta H = 1 mm =0.1= 0.1 cm.

Substituting the values:

ΔVV=0.110+0.120+0.125\dfrac{\Delta V}{V} = \dfrac{0.1}{10} + \dfrac{0.1}{20} + \dfrac{0.1}{25}

ΔVV=0.01+0.005+0.004=0.019\dfrac{\Delta V}{V} = 0.01 + 0.005 + 0.004 = 0.019

The percentage error in volume is ΔVV×100=0.019×100=1.9%\dfrac{\Delta V}{V} \times 100 = 0.019 \times 100 = 1.9\%

Answer: 1.9 %1.9\ \%
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