The time period 'T' of a body executing SHM may be supposed to depend upon (i) the amplitude 'A' , (ii) the force constant 'k' and (iii) the mass 'm' . Deduce by the method of dimensions the formula for T.

The velocity of sound waves 'v' through a medium may be assumed to depend on : (i) the density of the medium 'd' and (ii) the modulus of elasticity 'E' . Deduce by the method of dimensions the formula for the velocity of sound . Take dimensional constant K=1.

M.I. of a body doesn't depend upon

The time period of a body executing S.H.M. is 0.05 s and the amplitude of vibration is 4 cm. What is the maximum velocity of the body ?

The frequency of vibration (v) of a string may depend upon length (I) of the string, tension (T) in the string and mass per unit length (m) of the string. Using the method of dimensions, derive the formula for v.

The mass of particle executing S.H.M. is 1 gm. If its periodic time is pi seconds, the value of force constant is :

The wavalenght (lambda) of matter waves may depends upon Planck's constant (h) mass (m) and velocity (upsilon) of the particle. Use the method of dimensions to derive the formula

The periodic time of a body executing SHM is 2s. After how much time interval from t=0, will its displacement be half of its amplitude?

Amplitude of a particle executing SHM is a and its time period is T. Its maximum speed is

The equation of a particle executing SHM is x = (5m)[(pis^(-1))t + (pi)/(6)] . Write down the amplitude, initial phase constant, time period and maximum speed.

The time period (T) of a spring mass system depends upon mass (m) & spring constant (k) & length of the spring (l)[k=("Force")/("length")] . Find the relation among T, m , l & k using dimensional method.