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JEE Advance - Physics (1984 - No. 1)

Four person K, L, M, N are initially at the four corners of a square of side d. Each person now moves with a uniform speed v in such a way that K always moves directly towards L, L directly towards M, M directly towards N, and N directly towards K. The four person will meet at a time _____________.
$$d / v$$
$$2d / v$$
$$d / 2v$$
$$d / (2^{0.5}v)$$
$$d / (2v^{0.5})$$

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