JEE Mains Model Paper 2

Angular velocity ω = 2πv = 2π ×

30

60

= πrad s−1
For an elastic spring force F = kx where x is the extension.
Radius of circular motion r = L + x
Centripetal force = mrω2 = F
m(L + x) ω2 = kx
x =

mLω2

k−mω2

r = L + x = 0.5 + 0.05
= 0.55 m