Match List I with List II List I List II A Torque I kg   m – 1   s – 2 B Energy…

Match List I with List II

  List I   List II
A Torque I kg m1 s2
B Energy density II kg m s1
C Pressure gradient III kg m2 s2
D Impulse IV kg m2 s2

Choose the correct answer from the options given below :

  1. A-IV, B-III, C-I, D-II
  2. A-I, B-IV, C-III, D-II
  3. A-IV, B-I, C-II, D-III
  4. A-IV, B-I, C-III, D-II

Solution

Unit of force is written as, kg m s-2.

Now, torque can be written as, τ=Fs therefore its unit can be written as kg m2 s2.

Pressure is given by, P=FA, therefore unit of pressure will be kg m-1 s-2.

Now, pressure gradient is given by ratio of pressure and distance, so its unit will be kg m-2 s-2.

Impulse is given by product of force and time, so its unit will be kg m s-1.

As we know unit of torque and energy is the same, therefore energy density can written as =energyvolume=kg m-1 s2.

Asked in: JEE Main 2023 (30 Jan Shift 2)

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