At a certain instant a stationary transverse wave is found to have maximum kinetic energy. The appearance of string at that instant isa)sinusoidal shape with amplitude A/3.b)sinusoidal shape with amplitude A/2.c)sinusoidal shape with amplitude A.d)straight line.Correct answer is option 'D'. Can you explain this answer?

Question

Answer

When particles vibrate in loops, they perform SHM. So particles have maximum speed when they cross mean position and their speed is zero at the extreme position. Also, all the particles in a loop have a phase difference of 0. So when all particles cross their mean position, kinetic energy is maximum and shape of the string is straight.

Answer

Explanation:

A transverse wave is a wave that travels perpendicular to the direction of the wave's propagation. The kinetic energy of a wave is proportional to the square of its amplitude. Therefore, the maximum kinetic energy of a transverse wave will occur at the point of maximum amplitude. However, this does not necessarily mean that the shape of the wave will be sinusoidal.

Shape of the wave:

When the wave is at its maximum kinetic energy, it means that the wave is at the point of maximum amplitude. At this point, the wave will appear as a straight line. This is because all the particles in the medium are at their maximum displacement and are not moving. Therefore, the wave will momentarily appear as a straight line.

Amplitude of the wave:

The question asks about the amplitude of the wave at the point of maximum kinetic energy. However, the amplitude of the wave cannot be determined from this information alone. The amplitude of the wave depends on the specific characteristics of the wave, such as the frequency, wavelength, and tension of the string. Therefore, the answer cannot be option A, B, or C, as these options provide a specific amplitude value.

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