Which of the following is correct regarding standing wave in a string?
(A) Total energy of any string element remains constant
(B) Total energy of string segment between two adjacent nodes remains constant.
(C) Energy transfer can take place among adjacent segments of string
(D) String elements on both sides of a node vibrate in same phase

A standing wave is formed by two harmonic waves, y_1 = A sin (kx-omegat) and y_2 = A sin (kx + omegat) travelling on a string in opposite directions. Mass density energy between two adjavent nodes on the string.

A ball whirls around in a vertical circle at the end of a string . The other end of the string is fixed at the centre of the circle. Assuming the total energy of the ball-Earth system remains constant. What is the different of tension in string at bottom and top during circule motion ("T_(bottom) - T_(top)" = ?)

A plane progressive transverse wave is passing through medium along the positive x-axis at the given instant of time The nature of the displacement - position ( y vs x ) graph of particles of medium at that instant is as shown in figure.Which of the following statements are correct.(A B C are three particles of the vibrating string) A) Elastic potential energy per unit length of the string at the point B is more than that at points A and C B) Elastic potential energy per unit length of the string at the point C is more than that at points A and B C) Velocity of the particle at A is along negative y -axis. D) Velocity of the particle at C is along positive y- axis. 1) Only B C D are correct 2) Only A C D are correct 3) Only A C are correct 4) Only A D are correct

A particle of mass m is trapped between two perfectly rigid parallel walls. The particle bounces back and forth between the walls without losing any energy. From a wave point of view, the particle trapped between the walls is like a standing wave in a stretched string between the walls. Distance between the two walls is L. (a) Calculate the energy difference between third energy state and the ground state (lowest energy state) of the particle. (b) Calculate the ground state energy if the mass of the particle is m = 1 mg and separation between the walls is L = 1 cm .

A string fixed at both ends has consecutive standing wave modes for which the distance between adjacent nodes are 18 cm and 16 cm respectively. The length of the string is -

A string fixed at both ends has consecutive standing wave modes for which the distances between adjacent nodes are 18 cm and 16 cm respectively. The minimum possible length of the string is:

The figure shows the snapshot of a travelling sine wave in a string. Four elemental portions a,b,c and d are indicated on the string. The elemental portion with maximum potential energy is/are

De-Broglie hypothesized that material particles have wave like properties. Figure shows a small particle in a box. The particle simply bounces back and forth at constant speed. As particles also have wave like properties it can be considered to be a wave reflecting back and forth from the ends of the box. The reflections will create a standing wave analogous to standing wave on a string tied at both ends. Since a standing wave confined to a region can have only selected wavelength, momentum of the particle is quantized. We can safely assume that such a particle only has kinetic energy. This energy must also be quantized. What is the particle's energy in n^(th) state?

For a planet moving and the sun in an elliptical orbit, which of the following quantities remain constant? (i) The total energy of the 'sun plus planet' system (ii) The angular momentum of the planet about the sun (iii) The force of attraction between the two (iv) The linear momentum of the planet