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PhysicsSHMMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

A particle executes simple harmonic motion (amplitude = A) between x = - A and x = + A. The time taken for it to go from 0 to $\frac{A}{2}$ is $T_{1}$ and to go from $\frac{A}{2}$ to A is $T_{2}$ . Then

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Answer:

Solution:

$x = A s i n ω t$

For $x = \frac{A}{2}$ , $s i n ω T_{1} = \frac{1}{2}$ $\Rightarrow$ $T_{1} = \frac{π}{6 ω}$

For x = A, $s i n ω (T_{1} + T_{2}) = 1$ $\Rightarrow T_{1} + T_{2} = \frac{π}{2 ω}$

$\Rightarrow T_{2} = \frac{π}{2 ω} - T_{1} = \frac{π}{2 ω} - \frac{π}{6 ω} = \frac{π}{3 ω}$

i.e. $T_{1} < T_{2}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:SHMSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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