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JEE Advance - Physics (1978 - No. 1)

A horizontal uniform rope of length L, resting on a frictionless horizontal surface, is pulled at one end by force F. What is the tension in the rope at a distance $$l$$ from the end where the force is applied?
$$T = F \frac{l}{L}$$
$$T = F \left(1 + \frac{l}{L}\right)$$
$$T = F \left(1 - \frac{l}{L}\right)$$
$$T = F \left(1 - \frac{L}{l}\right)$$
$$T = F \frac{L}{l}$$

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