In the first harmonic standing wave (also known as the fundamental frequency or mode), the entire string vibrates at the same frequency. This means that all points along the string are oscillating in sync with each other.

1. P and Q are both points on the string. Since the entire string is vibrating at the same frequency, both P and Q will be moving up and down in sync with each other.

2. The motion of P and Q will be sinusoidal, meaning it will follow a smooth, repetitive oscillation. This is characteristic of wave motion.

3. The amplitude (maximum displacement from the equilibrium position) of the motion of P and Q will depend on their positions on the string. If P and Q are at the midpoint of the string, they will have the maximum amplitude. If they are at the ends of the string, they will have zero amplitude, as the ends of the string are fixed.

4. The phase of the motion of P and Q (i.e., where they are in their cycle of motion) will also be the same, as all points on the string are oscillating in sync.

5. The speed of P and Q will depend on their amplitude. They will move fastest as they pass through the equilibrium position, and slowest at the extremes of their motion.

In conclusion, in the first harmonic standing wave, P and Q will be moving in sync with each other, with the same frequency, phase, and potentially the same amplitude, depending on their positions on the string.

Question

In the first harmonic standing wave (also known as the fundamental frequency or mode), the entire string vibrates at the same frequency. This means that all points along the string are oscillating in sync with each other.

1. P and Q are both points on the string. Since the entire string is vibrating at the same frequency, both P and Q will be moving up and down in sync with each other.

2. The motion of P and Q will be sinusoidal, meaning it will follow a smooth, repetitive oscillation. This is characteristic of wave motion.

3. The amplitude (maximum displacement from the equilibrium position) of the motion of P and Q will depend on their positions on the string. If P and Q are at the midpoint of the string, they will have the maximum amplitude. If they are at the ends of the string, they will have zero amplitude, as the ends of the string are fixed.

4. The phase of the motion of P and Q (i.e., where they are in their cycle of motion) will also be the same, as all points on the string are oscillating in sync.

5. The speed of P and Q will depend on their amplitude. They will move fastest as they pass through the equilibrium position, and slowest at the extremes of their motion.

In conclusion, in the first harmonic standing wave, P and Q will be moving in sync with each other, with the same frequency, phase, and potentially the same amplitude, depending on their positions on the string.

Knowee AI · Accepted Answer

In the first harmonic standing wave (also known as the fundamental frequency or mode), the entire string vibrates at the same frequency. This means that all points along the string are oscillating in sync with each other.

1. P and Q are both points on the string. Since the entire string is vibrating at the same frequency, both P and Q will be moving up and down in sync with each other.

2. The motion of P and Q will be sinusoidal, meaning it will follow a smooth, repetitive oscillation. This is characteristic of wave motion.

3. The amplitude (maximum displacement from the equilibrium position) of the motion of P and Q will depend on their positions on the string. If P and Q are at the midpoint of the string, they will have the maximum amplitude. If they are at the ends of the string, they will have zero amplitude, as the ends of the string are fixed.

4. The phase of the motion of P and Q (i.e., where they are in their cycle of motion) will also be the same, as all points on the string are oscillating in sync.

5. The speed of P and Q will depend on their amplitude. They will move fastest as they pass through the equilibrium position, and slowest at the extremes of their motion.

In conclusion, in the first harmonic standing wave, P and Q will be moving in sync with each other, with the same frequency, phase, and potentially the same amplitude, depending on their positions on the string.

A string is fixed at both ends. P and Q are two particles on the string.P QThe first harmonic standing wave is formed in the string. What is correct about the motionof P and Q

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