Find the relation between the group velocity `u` and phase velocity `upsilon` for the following disperison laws:
(a) `upsilon prop 1//sqrt(lambda_(1))`,
(b) `upsilon prop k`,
(c ) `upsilon prop 1// omega^(2)`,
Here `lambda, k`, and `omega` are the wavelength, wave number, and angular frequancy.

Give the relation between velocity v, angular frequency omega and wave number lambda ?

Write a relation between wavelength (lambda) , frequency (upsilon) and speed of wave (c).

The velocity upsilon of a particle as a function of its position (x) is expressed as upsilon = sqrt(c_(1)-c_(2)x) , where c_(1) and c_(2) are positive constants. The acceleration of the particle is

The velocity upsilon of a particle as a function of its position (x) is expressed as upsilon = sqrt(c_(1)-c_(2)x) , where c_(1) and c_(2) are positive constants. The acceleration of the particle is

Which of the following does not have the dimensions of velocity ? ( Given epsilon_(0) is the permittivity of free space , mu_(0) is the permeability of free space , v is frequency , lambda is wavelength , P is the pressure , and rho is density , k is wave number , omega is the the angular frequency) (1) omega k (2) v lambda (3)1/ sqrt(epsilon_(0) mu_(0)) (4) sqrt(P/rho)

Which of the following does not have the dimensions of velocity ? ( Given epsilon_(0) is the permittivity of free space , mu_(0) is the permittivity of free space , v is frequency , lambda is wavelength , P is the pressure , and rho is density , k is wave number , omega is the the angular frequency)

Check by the method of dimensions, the formula upsilo = (1)/(lambda)sqrt((K)/(d)), where upsilon is velocity of longitudinal waves, lambdas is wavelength of wave, K is coefficient of volume elasticity and d is density of the medium.

A disc of radius R has linear velocity v and angular velocity omega as shown in the figure. Given upsilon=romega find velocity of point A, B, C and D on the disc.

A disc of radius R has linear velocity v and angular velocity omega as shown in the figure. Given upsilon=romega find velocity of point A, B, C and D on the disc.