In a measurement, it is asked to find modulus of elasticity per unit torque applied on the system. The measured quantity has dimension of . If b = –3, the value of c is __________. [2025]

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Solution

Q.
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 __________. [2025]

Ans.
(0)

[Modulus of elasticity] $= M L^{- 1} T^{- 2}$

[Torque] $= M L^{2} T^{- 2}$

[Modulus of elasticity per unit torque] $= \frac{M L^{- 1} T^{- 2}}{M L^{2} T^{- 2}} = L^{- 3}$ .

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