Out of formula (i)`y=a sin2 pi t//T and(ii)y=a sin vt for the displacement y of a pratice undergoing a certain peripdic motion, rule out the wrong formula on dimesional ground.

If sin y-3y=2x then find the derivative of y w.r.t x.

If x=sin t, y=cos t , then find (d y)/(dx) .

A SHM is represented by y(t) =5 sin(20t+0.5) m where t is in S. What is amplitude and time period.

The equations of light wave from two sources are y_1=a_1sinomegat and y_2=a_2sin(omegat+phi) where the symbols have their usual meaning. The individual intesities are I_1 and I_2 . Show that the minimum resultant intesity due to superposition is I_(min)=I_1+I_2-2sqrt(I_1I_2) .

choose the correct answer Two elements X (at wt.75) and Y(at w.t.16) combine to gove a compound having 75.8% of X. The formula of the compound is.

A progressive wave is represented as y = 5 sin 2pi (20t - 2x) . Y and x are in meter an t is second. Calculate the wave length and frequency.