Progressive Wave in a String

Practice Questions:

Question 1: easy

Instantaneous profile of a rope carrying a progressive wave moving from left to right is shown. Find the correct option

1. Both P and Q are moving upward

2. Both P and Q are moving downwards

3. P is moving upwards and Q is moving downwards

4. P is moving downwards and Q is moving upwards

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Question 2: easy

A particle moves according to equation, \(x = a \cos\frac{\pi t}{2}\). The distance covered by it in the time interval between \(t = 0\) to \(t = 3\text{ s}\) is

1. \(2a\)

2. \(3a\)

3. \(4a\)

4. \(a\)

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The time period is \(T = \frac{2\pi}{\pi/2} = 4\text{ s}\). The interval \(t = 3\text{ s}\) corresponds to \(\frac{3T}{4}\). In each quarter cycle, the distance covered is \(a\), so total distance is \(3a\).

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