Question

3. [1pt]
Consider the phase speed of transverse waves on a wire, with the changes listed below. Answer `true' (T), `false' (F), or `cannot tell' (C) to each of the five statements.
E.g., if the answer to the first statement is T and to the rest, F, enter TFFFF.

1. 
   
2. If the tension in the wire is doubled, the phase speed of the transverse wave doubles.
3. If the tension is increased and the mass of the wire is decreased (assuming the length remains the same), then the phase speed decreases.
4. If the tension is decreased and the mass of the wire is decreased (assuming the length remains the same), then the phase speed increases.
5. If the mass of the wire is quadrupled and the tension and length remain the same, the phase speed of the transverse wave decreases by a factor of 2.
6. If the length of the wire increases by a factor of 2 and the tension and mass remain the same, the phase speed of the transverse wave decreases by a factor of square root of 2.

Answer 1

Answer:

According to the relation:

the phase speed in terms of tension, length and mass is given by :

Where T is tension, L is length and m is mass

V = V m

1. If the tension in the wire is doubled, the phase speed of the transverse wave doubles. FALSE
2. If the tension is increased and the mass of the wire is decreased (assuming the length remains the same), then the phase speed decreases. FALSE
3. If the tension is decreased and the mass of the wire is decreased (assuming the length remains the same), then the phase speed increases. FALSE
4. If the mass of the wire is quadrupled and the tension and length remain the same, the phase speed of the transverse wave decreases by a factor of 2. TRUE
5. If the length of the wire increases by a factor of 2 and the tension and mass remain the same, the phase speed of the transverse wave decreases by a factor of square root of 2. FALSE