JEE Main 2016 Physics question

PhysicsOscillationsJEE Main 2016

Two particles are performing simple harmonic motion in a straight line about the same equilibrium point. The amplitude and time period for both particles are same and equal to and , respectively. At time one particle has displacement while the other one has displacement and they are moving towards each other. If they cross each other at time , then is:

Answer: (4)

Solution

Write both motions with the same . The first particle starts at the extreme and must move towards the other (i.e. in the direction), so

= Aω t.

The second starts at moving in the direction. Writing , the initial position gives

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Question ID VK-115505