Question

Select correct statement regarding waves on a string [all symbols have their usual meanings].

• A. Power transfer through any point in standing wave is $\mu v{{}_p}^2$
• B. Energy is not conserved between consecutive node and antinode.
• C. Two travelling waves of same frequency which are moving in opposite direction must form standing wave.
• D. Speed of particle is maximum where slope is maximum

Answer 1

Answer: (A), (D)

The correct options are
A Power transfer through any point in standing wave is $\mu v{{}_p}^2$
D Speed of particle is maximum where slope is maximum

Speed of particle is maximum where slope is maximum because when slope is maximum the potential energy is minimum, so kinetic energy is maximum and hence velocity is maximum.