Which one has the dimensions different from the remaining three
(1) Power
(2) Work
(3) Torque
(4) Energy
A small steel ball of radius r is allowed to fall under gravity through a column of a viscous liquid of coefficient of viscosity . After some time the velocity of the ball attains a constant value known as terminal velocity . The terminal velocity depends on (i) the mass of the ball m, (ii) , (iii) r and (iv) acceleration due to gravity g. Which of the following relations is dimensionally correct?
1.
2.
3.
4.
The quantity is the permittivity of free space, L is length, V is the potential difference and t is time. The dimensions of X are the same as that of:
1. Resistance
2. Charge
3. Voltage
4. Current
and denote the permeability and permittivity of free space, the dimensions of are:
(1)
(2)
(3)
(4)
The expression represents
(1) Pressure
(2) Kinetic energy
(3) Momentum
(4) Power
The dimensions of physical quantity X in the equation Force is given by
(1)
(2)
(3)
(4)
The dimensions of CV2 matches with the dimensions of
(1) L2I
(2) L2I 2
(3) LI2
(4)
The Martians use force (F), acceleration (A) and time (T) as their fundamental physical quantities. The dimensions of length on Martians system are
(1) [FT2]
(2) []
(3) []
(4) [AT2]
The dimension of is that of
(1) Velocity
(2) Time
(3) Capacitance
(4) Distance
An athletic coach told his team that muscle times speed equals power. What dimensions does he view for muscle?
(1)
(2)
(3) MLT2
(4) L