Waves and its Characteristics

Practice Questions:

Question 1: moderate

In the given progressive wave equation y = 0.5 sin (10πt – 5x); where x, y in cm and t in second. The maximum velocity of the particle is

1. 5 cm /sec

2. 5π cm /sec

3. 10 cm /sec

4. 10.5 cm /sec

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Question 2: moderate

The path difference between the two waves

\[ y_{1}= a_{1} sin \left( \omega t -\frac{2\Pi x}{\lambda} \right) \]

and

\[ y_{2}= a_{2} cos \left( \omega t -\frac{2\Pi x}{\lambda} + \varphi \right) \]

1. \[ \frac{\lambda}{2\Pi}\phi \]

2. \[ \frac{\lambda}{2\Pi}(\phi +\frac{\Pi}{2}) \]

3. \[ \frac{\lambda}{2\Pi}(\phi - \frac{\Pi}{2}) \]

4. \[ \frac{2\Pi}{\lambda}\phi \]

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