1.

When a simple pendulum executes small amplitude oscillations in a medium (like air), its amplitude decreases, quite slowly(1) with time (in a linear way) but its time period remains completely independent of its amplitude. (2) with time (in a non–linear way) but it time period remains completely independent of its amplitude. (3) with time (in a non–linear way) and its time period shows a slight increase compared to its time period in free space. (4) With time (in a linear way) and its time period shows a slight decrease compared to its time period in free space.

Answer»

Correct option: (3) 

Explanation: 

The oscillations, of a pendulum bob, in a medium (like air) are damped oscillations. For such damped oscillations, the amplitude decreases exponentially with time, i.e., its decrease is a non–linear one. 

The time period, for such damped oscillations, is (slightly) more than its the time period in free space. 



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