Two waves represented by y = a sin(ωt − kx) and y = a cos (ωt − kx) are superposed. The resultant wave will have an amplitude

Velocity of sound in air is 332 m s⁻¹. Its velocity in vacuum will be

A wave pulse, travelling on a two-piece string, gets partially reflected are partially transmitted at the junction. The reflection wave is inverted in shape as compared to the incident one. If the incident wave has wavelength λ and the transmitted wave λ’,

Two wires A and B, having identical geometrical construction, are stretched from their natural length by small by equal amount. The young modulus of the wires are Y_A and Y �_B whereas the densities are ρ_A and ρ_B. It is given that Y_A > Y_B and ρ_A > ρ_B. A transverse signal started at one end takes a time t₁ to reach the other end for A and t₂ for B.

Consider two waves passing through the same string. Principle of superposition for displacement says that the net displacements of a particle on the string is sum of the displacements produced by the two waves individually. Suppose we state similar principles for the net velocity of the particle and the net kinetic energy of the particle. Such a principle will be valid for