NTA Abhyas JEE Main2020PhysicsOscillationsPractice
The time period of oscillations of a block attached to a spring is t 1 . When the spring is replaced by another spring, the time period of the block is t 2 . If both the springs are connected in series and the block is made to oscillate using the combination, then the time period of the block is
Options
- AT = t 1 + t 2
- BT 2 = t 1 2 + t 2 2
- CT - 1 = t 1 - 1 + t 2 - 1
- DT - 2 = t 1 - 2 + t 2 - 2
Correct answer
B. T 2 = t 1 2 + t 2 2
Step-by-step solution
When springs are in series, k = k 1 k 2 k 1 + k 2 For first spring, t 1 = 2 π m k 1 For Second spring, t 2 = 2 π m k 2 ∴ t 1 2 + t 2 2 = 4 π 2 m k 1 + 4 π 2 m k 2 = 4 π 2 m k 1 + k 2 k 1 k 2 or t 1 2 + t 2 2 = 2 π m k 1 + k 2 k 1 k 2 2 or t 1 2 + t 2 2 = T 2 .