In a scattering experiment, a particle of mass 2 m collides with another particle of mass m , which is initially at rest. Assuming the collision to be perfectly elastic, the maximum angular deviation of the heavier particle, as shown in the

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In a scattering experiment, a particle of mass 2 m collides with another particle of mass m , which is initially at rest. Assuming the collision to be perfectly elastic, the maximum angular deviation of the heavier particle, as shown in the figure, in radians is:

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Correct answer: 3

2 m v₁=2 m v_ 1 f +2 m v_ 2 f ....(i) 2 m m_ 1 f =m v_ 2 f ....(ii) 1 2 (2 m) v₁^2+ 1 2 m(0)^2= 1 2 (2 m) v_ 1 f ^2+ 1 2 m v_ 2 f ^22 v₁^2=2 v_ 1 f ^2+v_ 2 f ^2 ....(iii) From (i), (ii), (iii), aligned & 3 v_ 1 f ^2-4 v₁ v_ 1 f +v₁^2=0 & (-4 v₁ )^2-4(3) (v₁^2 ) 0 & ^2 3 4 & ^2 3 2 & = 6 aligned

In a scattering experiment, a particle of mass 2 m collides with another particle of mass m , which is initially at rest. Assuming the collision to be perfectly elastic, the maximum angular deviation of the heavier particle, as shown in the figure, in radians is:

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