Question

# A curtain is hanging at the entrance of a room. A long corridor runs at right angles to the door, that is parallel to the curtain. If a strong wind blows along the corridor, the curtain will

A

Get pushed inside the room

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B

Get pushed outside the room

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C

Get collected towards one end/swirled

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D

Remain unaffected

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Solution

## The correct option is B Get pushed outside the roomAccording to the basic crux of Bernoulli's theorem, the higher the velocity, the lower the pressure, and vice versa.$Pressure\propto \frac{1}{velocity}$The interaction of the high-velocity air (${v}_{1}$) coming from the corridor with the outer face of the curtain creates a low-pressure zone (${p}_{1}$) near the outer face of the curtain as depicted by the diagram shown above.${p}_{1}\propto \frac{1}{{v}_{1}}⇒$high-velocity air will create a low-pressure zone.The interaction of the low-velocity air (${v}_{2}$) coming from the room with the inner face of the curtain creates a high-pressure zone (${p}_{2}$) near the inner face of the curtain as depicted by the above diagram.${p}_{2}\propto \frac{1}{{v}_{2}}⇒$low-velocity air will create a high-pressure zone.The pressure on the inner face of the curtain (${p}_{1}$) is greater than the pressure on the outer face of the curtain (${p}_{2}$) and consequently, the curtain will get pushed outside the room.Hence, option B is correct.

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