Q.
The pair of quantities having same dimensions is
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a
Impulse and Surface Tension
b
Angular momentum and Work
c
Work and Torque
d
Young's modulus and Energy
answer is C.
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Detailed Solution
Impulse = Force × time =MLT-2[T]=MLT-1 Surface tension = Force length =MLT-2[L]=ML0 T-2 Angular momentum = Moment of inertia × angular velocity =ML2T-1=ML2 T-1 Work = Force × distance =MLT-2[L]=ML2 T-2 Energy =ML2 T-2 Torque = Force × distance =MLT-2[L]=ML2 T-2 Young's modulus = Force / Area Change in length / original length =MLT-2/L2[L]/[L]=ML-1 T-2 Hence, among the given pair of physical quantities work and torque have the same dimensions ML2 T-2.
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