The density of a material in units is In certain units in which the unit of length is and the unit of mass is the numerical value of density of the material is:
If dimensions of critical velocity, of a liquid flowing through a tube are expressed as , where, and are the coefficient of viscosity of liquid, density of liquid and radius of the tube, respectively, then, the values of , and are given by
Planck' constant , speed of light and gravitational constant are used to form a unit of length and a unit of mass . Then the correct option(s) is (are)
, and are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation holds true. Then which of the combination is not a meaningful quantity?
If energy , velocity and time are chosen as the fundamental quantities, the dimensional formula of surface tension will be___(For surface tension, Force=Surface tensionlength)
A physical quantity of the dimensions of length that can be formed out of and , where [ is velocity of light, is universal constant of gravitation, is charge & is permittivity of free space]:
If and denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period , then which of the following do not change with time?
Time , velocity and angular momentum are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be:
A beaker contains a fluid of density , specific heat and viscosity . The beaker is filled up to height h. To estimate the rate of heat transfer per unit area by convection when beaker is put on a hot plate, a student proposes that it should depend on , and when ( ) is the difference in the temperature between the bottom and top of the fluid. In that situation the correct option for is:
If denote the displacement, velocity and acceleration of a particle respectively executing SHM of periodic time , then which one of the following does not change with time?
Young - Laplace law states that the excess pressure inside a soap bubble of radius is given by where is the coefficient of surface tension of the soap. The number is a dimensionless number that is used to describe the shape of bubbles rising through a surrounding fluid. It is a combination of the acceleration due to gravity, the density of the surrounding fluid and a characteristic length scale which could be the radius of the bubble. A possible expression for is:
A neutron star with magnetic moment of magnitude is spinning with angular velocity about its magnetic axis. The electromagnetic power P radiated by its is given by where and are the permeability and speed of light in free space, respectively. Then
