AIIMS2010PhysicsLaws of Motion
Let T₁ and T₂ be the time periods of springs A and B when mass M is suspended from one end of each spring. If both springs are taken in series and the same mass M is suspended from the series combination, the time period is T , then
Options
- AT₁+T₂+T₃
- B1 T = 1 T₁ + 1 T₂
- CT^2=T₁^2+T₂^2
- D1 T^2 = 1 T₁^2 + 1 T^2
Correct answer
C. T^2=T₁^2+T₂^2
Step-by-step solution
T₁=2 M k₁ or k₁= 4 ^2 M T₁^2 and k₂= 4 ^2 M T₂^2 In series combination, k_ eff = k₁ k₂ k₁+k₂ = 4 ^2 M T₁^2+T₂^2 T=2 M k_ eff = T₁^2+T₂^2 .