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Physics - Wave on String Question with Solution | TestHub

PhysicsWave on StringMiscellaneousHard2 minQB

PhysicsHardmultiple choice

Passage / Comprehension

A water wave of amplitude 0.50 m is travelling in water which is 2.0 m deep as shown in figure. Water waves travel with a speed v which is dependent on the depth of water h and is given by the equation $v = gh$ , where g is the acceleration of free fall. As there is a greater depth of water beneath the crest of a water wave than beneath the trough, wave crests will travel faster than wave troughs.

Choose the CORRECT statement(s) :-

Options:(select one or more)

Answer:

A, D

Solution:

Depth below a crest: $h_{c} = 2.0 + 0.5 = 2.5 m$ ; below a trough: $h_{t} = 2.0 - 0.5 = 1.5 m$ .

Crest speed $= g h_{c} = 10 \times 2.5 = 5 m / s$ - greater than trough speed, (A) true, (B) false.

Trough speed $= g h_{t} = 15 = 3.87 m / s$ - smaller than crest speed, (D) true, (C) false.

Hence A, D.

Stream:JEESubject:PhysicsTopic:Wave on StringSubtopic:Miscellaneous

⏱ 2mℹ️ Source: QB

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