A mass of \( M \mathrm{~kg} \) is suspended by a weightless string. the horizontal force that is...

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A mass of \( M \mathrm{~kg} \) is suspended by a weightless string. the horizontal force that is required to displace it until the string makes an angle of \( 45^{\circ} \) with the initial vertical direction is
[AIEEE 2006]
(a) \( \operatorname{Mg} \sqrt{2} \)
(b) \( \frac{M g}{\sqrt{2}} \)
(c) \( \operatorname{Mg}(\sqrt{2}-1) \)
(d) \( \operatorname{Mg}(\sqrt{2}+1) \)
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