Equation of a plane progressive wave is given by y=0.6sin2 $\mathit{\pi }\left(\mathit{t}-\frac{\mathit{x}}{2}\right)$ . On reflection from a denser medium its amplitude becomes 2/3 of the amplitude of the incident wave. The equation of the reflected wave is

(a) y=0.6sin2 $\mathit{\pi }\left(\mathit{t}+\frac{\mathit{x}}{2}\right)$

(b) y=-0.4sin2 $\mathit{\pi }\left(\mathit{t}+\frac{\mathit{x}}{2}\right)$

(c) y=0.4sin2 $\mathit{\pi }\left(\mathit{t}+\frac{\mathit{x}}{2}\right)$

(d) 0.4sin2 $\mathit{\pi }\left(\mathit{t}-\frac{\mathit{x}}{2}\right)$

A set of 16 tuning forks are so arranged that each produce 4 beats with the previous one. If the frequency of last tuning fork is double that of first, the frequency of third tuning fork is

A pipe open at both ends produces a note of fundamental frequency V₁. When the pipe is kept with (1/3)^rd of its length in water, it produces a note of frequency V₂.The value of V₁/ V₂ is

A string of linear density 0.4 kg/m is stretched with force of 1000 N. A transverse wave is set up along it. The speed of the wave is

A particle is executing S.H.M. its potential energy v/s displacement graph is given by

The value of restoring force constant is :-

A heavy rope is suspended from rigid support. A wave pulse is set up at the lower end. Then