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Select all the true statements about this situation (see the simulation) from th

ID: 1789090 • Letter: S

Question

Select all the true statements about this situation (see the simulation) from the list below: When standing waves are produced on a string, fixed ends are nodes (locations of zero amplitude) and free ends are anti-nodes (locations of maximum amplitude).

When both ends of the string are free, standing waves are produced when the length of the string divided by half the wavelength is an integer.

When both ends of the string are fixed and a standing wave is set up on the string, there is always an anti-node at the center of the string.

Standing waves involve the superposition of a wave moving to the right on the string and a wave of the same amplitude and frequency moving left on the string.

By using the three buttons appropriately to set what happens at the ends of the string, it is possible to produce a standing wave pattern at any of the 15 different frequencies available in the simulation.

The frequencies that produce standing waves when both ends of the string are fixed also produce standing waves when one end is free.

Explanation / Answer

1) When standing waves are produced on a string, fixed ends are nodes ,free ends are anti-nodes formed.

Therefore the given statement is true.

2)The ends of the string are free, standing waves are produced when the length of the string divided by half the wavelength is an integer.Therefore the given statement is true.

3)When both ends of the string are fixed and a standing wave is set up on the string, there is always an anti-node at the center of the string.Therefore the given statement is true.

4)Standing waves involve the superposition of a wave moving to the right on the string and a wave of the same amplitude and frequency moving left on the string.Therefore the given statement is true.

5)By using the three buttons,it is not possible to produce a standing wave pattern at any of the 15 different frequencies available in the simulation.Therefore given statement is false.

6)The frequencies that produce standing waves when both ends of the string are fixed produces odd number of harmonics and standing waves when one end is free produce all harmonics.Therefore given statement is false.

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