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"the displacement of a particle in periodic motion is given by "y=(cos2t-2cost+2sin^2t+1). What is the no. of beats that can be heard in 10 seconds?"
“What is meant by beats?discuss graphical method for formation of standing waves on streched strings?”
Beats are periodic variation in intensity of sound caused by the superposition of two waves slightly differing in their frequencies. Beats are heard when the difference in frequency is less than 10. (because human ear can distinguish two sounds distinctly only if they differ in time by 0.1 sec.)
Here are some links to understand beats better through interactive animations