A $1 \mathrm{~kg}$ mass is suspended from the ceiling by a rope of length $4 \mathrm{~m}$. A horizontal force ' $F$ ' is applied at the mid point of the rope so that the rope makes an angle of $45^{\circ}$ with respect to the vertical axis as shown in figure. The magnitude of $F$ is:

222028-q

  • [JEE MAIN 2024]
  • A

    $\frac{10}{\sqrt{2}} \mathrm{~N}$

  • B

    $1 \mathrm{~N}$

  • C

    $\frac{1}{10 \times \sqrt{2}} \mathrm{~N}$

  • D

    $10 \mathrm{~N}$

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