Match List - I with List - II.
| List - I | List - II |
|---|---|
| (A) Latent Heat | (I) \( M^0 L^2 T^{-2} \) |
| (B) Electromotive Force | (II) \( M L^2 T^{-3} A^{-1} \) |
| (C) Electrical Resistivity | (III) \( M L^3 T^{-3} A^{-2} \) |
| (D) Angular Impulse | (IV) \( M L^2 T^{-1} \) |
Choose the correct answer from the options given below:
A quantity \( X \) is given by: \[ X = \frac{\epsilon_0 L \Delta V}{\Delta t} \] where:
- \( \epsilon_0 \) is the permittivity of free space,
- \( L \) is the length,
- \( \Delta V \) is the potential difference,
- \( \Delta t \) is the time interval.
The dimension of \( X \) is the same as that of:
Match List-I with List-II.
Choose the correct answer from the options given below :
The expression given below shows the variation of velocity \( v \) with time \( t \): \[ v = \frac{At^2 + Bt}{C + t} \] The dimension of \( A \), \( B \), and \( C \) is: