Given that v is speed, r is the radius and g is the acceleration due to gravity. Which of the following is dimensionless?
(1)
(2)
(3)
(4)
The physical quantity which has the dimensional formula is
(1) Surface tension
(2) Solar constant
(3) Density
(4) Compressibility
A force F is given by F = at + bt2, where t is time. What are the dimensions of a and b:
(1) and
(2) and
(3) and
(4) and
If the speed of light (c), acceleration due to gravity (g) and pressure (p) are taken as the fundamental quantities, then the dimension of gravitational constant is
(1)
(2)
(3)
(4)
If the time period (T) of vibration of a liquid drop depends on surface tension (S), radius (r) of the drop and density of the liquid, then the expression of T is
(1)
(2)
(3)
(4) None of these
The fundamental physical quantities that have same dimensions in the dimensional formulae of torque and angular momentum are
(1) Mass, time
(2) Time, length
(3) Mass, length
(4) Time, mole
If pressure P, velocity V and time T are taken as fundamental physical quantities, the dimensional formula of force is
(1)
(2)
(3)
(4)
The physical quantity which has dimensional formula as that of is
(1) Force
(2) Power
(3) Pressure
(4) Acceleration