A mass of \( 10 \mathrm{~kg} \) is suspended vertically by a rope from the roof. When a horizont...

A mass of \( 10 \mathrm{~kg} \) is suspended vertically by a rope from the roof. When a horizontal force is applied on the rope at some point, the rope deviated at an angle of \( 45^{\circ} \) at the roof point. If the suspended mass is at equilibrium, the magnitude of the force applied is \( \left(g=10 \mathrm{~ms}^{-2}\right) \)
[JEE (Main) 2019]
(a) \( 200 \mathrm{~N} \)
(b) \( 100 \mathrm{~N} \)
(c) \( 140 \mathrm{~N} \)
(d) \( 70 \mathrm{~N} \)