A ship ' \( A^{\prime} \) is moving Westwards with a speed of \( 10 \mathrm{kmh}^{-1} \) and a s...

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A ship ' \( A^{\prime} \) is moving Westwards with a speed of \( 10 \mathrm{kmh}^{-1} \) and a ship ' \( B \) ' \( 100 \mathrm{~km} \) South of ' \( A \) ', is moving Northwards with a speed of \( 10 \mathrm{kmh}^{-1} \). The time after which the distance between them becomes shortest, is
[AIPMT (Cancelled) 2015]
(a) \( 5 h \)
(b) \( 5 \sqrt{2 h} \)
(c) \( 10 \sqrt{2} \mathrm{~h} \)
(d) \( \mathrm{Oh} \)
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