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COMEDK2013PhysicsUnits and Dimensions

The pair of quantities having same dimensions is

Options

  1. Aimpulse and surface tension
  2. Bangular momentum and work
  3. Cwork and torque
  4. DYoung's modulus and energy

Correct answer

C. work and torque

Step-by-step solution

Impulse = Force Time = [ MLT ⁻² ][ T ]= [ MLT ⁻¹ ] Surface tension = Force Length = [ MLT ⁻² ] [ L ] = [ ML ⁰ ~T ⁻² ] = Moment of intertia Angular velocity aligned Young's modulus &= Force Area L L &= [ MLT ⁻² ] [ L ] [ L ² ] [ L ] = [ ML ⁻¹ ~T ⁻² ] aligned Work and torque have same dimensions.

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