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Two blocks of masses 40 kg and 20 kg are connected by a wire which has a linear mass density of $1 g / m$ . These blocks are being pulled across horizontal frictionless floor by a horizontal force F that is applied to 20 kg block. A transverse wave travels on the wire between the blocks with a speed of 400m/s (relative to the wire). The mass of the wire is negligible compared to the mass of the blocks, the magnitude of F is

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320 N

240 N

160 N

400 N

answer is B.

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Detailed Solution

Tension T in the wire = $v^{2} ρ = {(400)}^{2} \times 10^{- 3} = 160 N$
Force applied $F = \frac{T (m_{1} + m_{2})}{m_{1}}$
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$= 160 \times \frac{(40 + 20)}{40} = 240 N$

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