Answer 1

1.   A bead of mass m is attached to one end of a spring of natural length R and spring constant $K =\frac{\left(\sqrt{3} + 1\right)mg}{R}$ .  The other end of the spring is fixed at a point A on a smooth vertical ring of radius R as shown in the figure. The normal reaction at B just after it is released to move is
 

$\left(A\right) mg/2 \left(B\right) \sqrt{3} mg \left(C\right) 3\sqrt{3} mg \left(D\right) \frac{3\sqrt{3} mg}{2}$