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A body executes SHM under the influence ...

A body executes SHM under the influence of one force and has a period `T_1` seconds and the same body executes SHM with period `T_2` seconds when under the influence of another force. When both forces act simultaneously and in the same direction, then the time period of the same body (in seconds) is:

A

`(T_(1)+T_(2))`sec

B

`sqrt(T_(1)^(2) + T_(2)^(2))` sec

C

`sqrt((T_(1) + T_(2))/(T_(1)T_(2))sec`

D

`sqrt((T_(1)^(2)T_(2)^(2))/((T_(1)^(2) + T_(2)^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
D
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