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InterviewSolution
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To calculate the volume of cylinder, a student is given a metre scale of least count 1 mm to measure its length and vernier callipers of least count 0.1 mm to measure its diameter. If its length and radius are 10 cm and 2 cm respectively then the percentage error in the calculated value of the volume of the cylinder will beA. `5%`B. `4%`C. `3%`D. `2%` |
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Answer» Correct Answer - d Volume of a cyclinder `V=pir^(2)L` L.C. of metre scale = 0.1 cm and L.C. of vernier = 0.01 cm and `DeltaL=0.1cm, Deltar=0.01cm` `therefore` Percentage error = `(DeltaV)/(V)xx100` `=[2(Deltar)/(r)+(DeltaL)/(L)]xx100` `=[2xx(0.01)/(2)+(0.01)/(10)]xx100` `=[2xx(0.01)/(2)+(0.1)/(10)]xx100` `=[(1)/(100)+(1)/(100)]xx100=2%` |
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