Question

Assertion :In a sinusoidal travelling wave on a string potential energy of deformation of string element at extreme position in maximum. Reason: The particles in sinusoidal travelling wave perform SHM.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Assertion is incorrect but Reason is correct

Answer 1

The correct option is D Assertion is incorrect but Reason is correct

The equation of the wave would be
$y(x,t)=A\sin (\omega t-kx)$
substituting a value for x, say $x_0$
$k{x}_0=\theta$
This gives us $y\left(t\right)=A\sin (\omega t-\theta )$
So it is observed that for any fixed point, the particle is executing SHM. All the particles execute SHM of same amplitude and same angular frequency.
Hence the Potential energy due to string would be same for all particle (Only a phase difference between them)
Hence Assertion is incorrect but reason is correct