Checking the correctness of equations using the method of dimensions is based on
Using the principle of homogeneity of dimensions, which of the following is correct?
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Which of the following relations is dimensionally incorrect?
Which of the following relations for the displacement of a particle undergoing simple harmonic motion is not correct dimensionally?
The displacement of a progressive wave is represented by y = A sin(ωt - kx) where x is distance and t is time. The dimensions of ω/k are same as those of the
If velocity of light c, Planck's constant h and gravitational constant G are taken as fundamental quantities then the dimensions of length will be:
A new system of units is proposed in which unit of mass is α kg, unit of length is β m and unit of time is γ s. What will be value of 5 J in this new system?
If the energy, E = Gp hq cr where G is the universal gravitational constant, h is the Planck's constant and c is the velocity of light, then the values o f p, q and r are, respectively
The equation of state of a gas is given by where p,V,T are pressure, volume and temperature respectively and a,b,c are constants. The dimensions of a and b are respectively
The velocity of a particle (v) at an instant t is given by v = at + bt2. The dimension of b is the
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