A $100$ $Newton$ weight is suspended in a corner of a room by two cords $A$ and $B$ as shown in the figure below. The tension in the horizontal cord $A$ is ………… $N$

A weight can be hung in any of following four ways by using same string. In which case is  the string more likely to break is :-

A block of $\sqrt{3}\,kg$ is attached to a string whose other end is attached to the wall. An unknown force $F$ is applied so that the string makes an angle of $30^{\circ}$ with the wall. The tension $T$ is $………..\,N$ :(Given $g =10\,ms ^{-2}$ )

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 …………….

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