An experiment measures quantities a, b, c and x is calculated from x = ab2/c3. If the maximum percentage error in a, b and c are 1%, 3% and 2% respectively, the maximum percentage error in x will be
In the given options, the secondary fundamental unit is
The dimensional representation of Planck's constantis identical to that of
Out of the following the only pair that does not haveidentical dimensions is
In the relation
, the dimensionalformula for is
The dimensions of self-induction are
The dimensional formula for latent heat is
Dimensional representation of coefficient of friction is
A physical quantity depends upon five factors, all of which have dimenstion; then method of dimensional analysis
A student when discussing the properties of a medium(except vacuum)writesVelocity of light in vacuum = velocity of light in mediumThis formula is
Given that T stands for time period andi stands for thelength of simple pendulum. If g is the acceleration dueto gravity, then which of the following statements aboutthe relation T2 = (i /g) is correct?
Suppose refractive index μ is given as When A and B are constants and l is wave length, then dimensions of B are same as that of
If L and R denote the inductance and resistance respectively, then the dime
The dimensional formula for resistivity of conductor is
The dimensional formula for electric potential is
Which of the following pairs do not have identicaldimensions?
The product PV has the dimensions
Choose the physical quantity that is different from othersin some respect.
On the basis of dimensional equation, the maximum number of unknown that can be found, is
The dimensions of e0 μ0 are
If frequency F, velocity V, and density D are consideredfundamental units, the dimensional formula formomemtum will be
The dimensions of the formula of capacitance are
What are the dimensions of gas constant?
The position x of a particle at time t is given by where V0 is constant and a > 0. Thedimensions of V0 and a are
The time dependence of a physical quantity P is given by , where a is a constant and t is time.Then constant a is
The frequency f of vibrations of mass m suspended froma spring of spring constant k is given by f = Cmxky, where C is a dimensionless constant. The values of x and y are, respectively,
Write the dimensions of a/b in the relationa , where P is the pressure, x is the distance, and t is thetime.
Write the dimensions of a×b in the relation ,where E is the energy, x is the displacement, and t istime.
In the relation , where the letters have their usual meanings, the dimensions of V are
Dimensional analysis cannot be used for :