The ends of a rope are held by two men who pulls on it with equal and opposite forces of  magnitude $F$ each. Then the tension in the rope is 

  • A

    $F$

  • B

    $2F$

  • C

    $\frac{F}{2}$

  • D

    Zero

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A mass of $10 \,kg$ is suspended vertically by a rope of length $5 \,m$ from the roof. A force of $30 \,N$ is applied at the middle point of rope in horizontal direction. The angle made by upper half of the rope with vertical is $\theta=\tan ^{-1}\left(x \times 10^{-1}\right)$. The value of $x$ is ................

$\text { (Given } g =10 \,m / s ^{2} \text { ) }$

  • [JEE MAIN 2022]

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