. Which of the following have the same dimensions


A: impulse and momentum

B: specific heat and latent heat

C: moment of inertia and force

D: thrust and surface tension

 

Best Answer

Explanation

  • We have impulse and momentum here.
  • Now, dimensional formula of impulse will be,[ MLT -1]
  • And the dimensional formula for the momentum is [ MLT -1].
  • So, impulse and momentum have the same dimensions.
  • We have specific heat and latent heat
  • Now, the dimensional formula of specific heat will be,[ M0L2T -2 K-1 ].
  • And The dimensional formula for latent heat is,[ M0L2T -2  ].
  • As a result, the dimensional formulas for specific heat and latent heat differ.
  • We have now moment of inertia and force
  • The dimensional formula of moment of inertia is,[ ML-2 ].
  • And the dimensional formula of force is [ MLT-2 ].
  • As a result, inertia and force moments have distinct dimensions.
  • Here we have thrust and surface tension. 
  • The dimensional formula for thrust is same as force i.e  [ MLT-2 ].
  • And the dimensional formula for surface tension is  [ ML0T-2 ]...
  • As a result, the dimensional formulas for thrust and surface tension are different.

Final Answer

The correct answer is A i.e impulse and momentum have the same dimensions.

 

Talk to Our counsellor