A block of √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° with the wall. The tension T is: (Given g =10 ms -2 )

Question

A block of √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° with the wall. The tension T is: (Given g =10 ms -2 ) (A) 25 N (B) 15 N (C) 10 N (D) 20 N

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/e127f84f9bbb7ba173f98ffdc72c63e9-.png" /> θ=30° cos θ=(√3 g/ T ) ⇒ (√3/2)=(√3 g/ T ) ⇒ T =20 N

Q. A block of $3 k g$ 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 $3 0^{\circ}$ with the wall. The tension $T$ is: (Given $g = 10 m s^{- 2}$ )

$25 N$

$15 N$

$10 N$

$20 N$

$θ = 3 0^{\circ}$
$cos θ = \frac{3 g}{T}$
$\Rightarrow \frac{3}{2} = \frac{3 g}{T}$
$\Rightarrow T = 20 N$

Q. A block of 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∘ with the wall. The tension T is: (Given g=10ms−2 )

25N

15N

10N

20N