JEE Main202528 Jan 2025Morning ShiftPhysicsUnits and DimensionsActual
In a measurement, it is asked to find modulus of elasticity per unit torque applied on the system. The measured quantity has dimension of [M^a L^b T^c ] . If b=-3 , the value of c is ________
Correct answer
0
Step-by-step solution
[Modulus of elasticity] = ML ⁻¹ ~T ⁻² [Torque] = ML ^2 ~T ⁻² [Modulus of elasticity per unit torque] = ML ⁻¹ ~T ⁻² ML ^2 ~T ⁻² = L ⁻³