Question

A standing wave is produced in a uniform string stretched between two fixed ends.

• A. The force constant of SHM of all elements (of the same but small length) except at nodes is same.
• B. The speeds of all the particles in a phase will be the same
• C. There is maximum strain in the string when its elements have maximum acceleration.
• D. The phase difference (at different points of the string) between the two progressive waves due to which this standing wave is formed is either 0 or $\pi$

Answer 1

Answer: (A), (B), (C)

The correct options are
A The force constant of SHM of all elements (of the same but small length) except at nodes is same.
B The speeds of all the particles in a phase will be the same
C There is maximum strain in the string when its elements have maximum acceleration.

Here, We know that force constant will remain the same except at nodes.

Since it is similar to SHM.

Phase speed of the particle will be same.

Strian in the string will be maximum if the acceleration is maximum.

Thus, ans $\Rightarrow \left(a\right),\left(b\right),\left(c\right)$