Two waves having equation x₁ = $$a$$sin($$\omega $$t $$-$$ kx + $$\phi $$₁), x₂ = asin($$\omega $$t $$-$$kx + $$\phi $$₂). If in the resultant wave the frequency and amplitude remain equal to amplitude of superimposing waves, the phase difference between them is

The equation of a wave is represented by

y $$=$$ 10^$$-$$4 sin(100t $$-$$ $${x \over {10}}$$) m. then the velocity of wave will be

If the tension and diameter of a sonometer wire of fundamental frequency n is doubled and density is halved then its fundamental frequency will become

The equations of two waves acting in perpendicular directions are given as
x = $$a$$cos($$\omega $$t +$$\delta $$) and y = $$a$$cos($$\omega $$t + $$\alpha $$), where $$\delta $$ = $$\alpha $$ + $${\pi \over 2}$$, the resultant wave represents