Q 1 :    

If the mass of the bob in a simple pendulum is increased to thrice its original mass and its length is made half its original length, then the new time period of oscillation is $\frac{x}{2}$ times its original time period. Then the value of $x$ is         [2024]
 

• $\sqrt{3}$

   

• $\sqrt{2}$

   

• $2\sqrt{3}$

   

• $4$