Units and Measurements · Question 45

JEE Main 2025 (Online) 28th January Morning ShiftNumericalEasy📈 Topic in 55% papers+4

In a measurement, it is asked to find modulus of elasticity per unit torque applied on the system. The measured quantity has dimension of [MaLbTc]. If b = -3, the value of c is .

Answer

Solution

Modulus of elasticity = stress: [ML-1T-2]

Torque: [ML2T-2]

Modulus of elasticityTorque = [ML-1T-2][ML2T-2] = [M0L-3T0]

a = 0, b = -3, c = 0

Answer: 0

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Keep practising — Units and Measurements

A tiny metallic rectangular sheet has length and breadth of 5 mm and 2.5 mm, respectively. Using a specially designed screw gauge which has pitch of 0.75 mm and 15 divisions in the circular scale, you are asked to find the area of the sheet. In this measurement, the maximum fractional error will be x100 where x is .

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Match List - I with List - II. Choose the correct answer from the options given below:

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