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4-1.Newton's Laws of Motion
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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
$20$
B
$25$
C
$10$
D
$15$
(JEE MAIN-2023)
Solution

$\theta=30^{\circ}$
$\cos \theta=\frac{\sqrt{3} g }{ T }$
$\Rightarrow \frac{\sqrt{3}}{2}=\frac{\sqrt{3} g }{ T }$
$\Rightarrow T =20\,N$
Standard 11
Physics