AP EAMCET2004PhysicsOscillations
The time period of a simple pendulum is T . When the length is increased by 10 ~cm , its period is T₁ . When the length is decreased by 10 ~cm , its period is T₂ . Then, relation between T, T₁ and T₂ is
Options
- A2 T₂ = 1 T₁^2 + 1 T₂^2
- B2 T₂ = 1 T₁^2 - 1 T₂^2
- C2 T^2=T₁^2+T₂^2
- D2 T^2=T₁^2-T₂^2
Correct answer
C. 2 T^2=T₁^2+T₂^2
Step-by-step solution
Adding Eqs. (ii) and (iii), we get aligned T₁^2+T₂^2 & =4 ^2 [ 2 l g ] & =2 (4 ^2 ) ( l g )=2 T^2 . aligned