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A long rubber tube having mass 0.9 kg is fastened to a fixed support and the free end of the tube is attached to a cord which passes over a pulley and supports an object, with a mass of 5 kg as shown in fig. If the tube is struck by a transverse blow at one end, the time required for the pulse to reach the other end is (linear density of tube $= \frac{49}{625} kg / m$ )

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4.7s

3.2s

0.47s

answer is B.

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Detailed Solution

Tension in the string is

T = 5kg x 9.8m/s² = 49N.

we know, velocity of the pulse is

$V = \sqrt{\frac{T}{μ}} = \sqrt{\frac{49}{(\frac{49}{625})}} = 25 m / s$

$t = \frac{d}{V} \Rightarrow t = \frac{12}{25} = 0.476$

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