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JEE Advanced 2022 Paper 1

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Question : 34

Total: 54

List I describes four systems, each with two particles A and B in relative motion as shown in figure. List II gives possible magnitudes of then relative velocities (in ms−1 ) at time t=‌

A and B are moving on a horizontal circle of radius 1m with uniform angular speed ω=1‌rad‌s−1. The initial angular positions of A and B at time t=0 are θ=0 and θ=‌

Projectiles A and B are fired (in the same vertical plane) at t=0 and t=0.1s respectively, with the same speed v=‌

ms−1 and at 45∘ from the horizontal plane. The initial separation between A and B is large enough so that they do not collide, (g=10ms−2).

Two harmonic oscillators A and B moving in the x direction according to xA=x0‌sin‌

and xB=x0‌sin(‌

) respectively, starting from t=0. Take x0=1m,t0=1s.

Particle A is rotating in a horizontal circular path of radius 1m on the xy plane, with constant angular speed ω=1‌rad‌s−1. Particle B is moving up at a constant speed 3ms−1 in the vertical direction as shown in the figure. (Ignore gravity.)

Which one of the following options is correct?

I→R,II→T,III→P,IV→S
I→S,II→P,III→Q,IV→R
I→S,II→T,III→P,IV→R
I→T,II→P,III→R,IV→S

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