Question

Statement (A): In a small segment of string carrying a sinusoidal wave, the total energy is conserved.

Statement (B) : Every small part of the string performs SHM and in SHM, the total energy is conserved .

• A. Both (A) and (B) are correct
• B. (A) is correct only
• C. (B) is correct only
• D. None of these

Answer 1

The correct option is C (B) is correct only

Every small segment is acted upon by forces from both sides of it hence energy is not conserved, rather it is transmitted by the element.

If the energy was conserved, there would have been no transmission of energy and we know that wave transfers energy along its direction of propagation.
All segments of the string perform SHM and in an SHM the total energy of oscillating particle remains conserved.
Hence, option (c) is correct.