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:
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:
- [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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- [AIIMS 2018]
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- [JEE MAIN 2022]
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