List of top Physics Questions on Dimensional Analysis asked in WBJEE

The velocity \( v \) of a particle at time \( t \) is given by \( v = at + \frac{b}{t+c} \), where \( a \), \( b \) and \( c \) are constants. The dimension of \( a \), \( b \) and \( c \) are, respectively

If the dimensions of length are expressed as \( G^x C^y h^z \), where \( G \), \( C \), and \( h \) are the universal gravitational constant, speed of light, and Planck's constant respectively, then:

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: