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:
D. 6
2 m v_1=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) v_1^2+ 1 2 m(0)^2= 1 2 (2 m) v_ 1 f ^2+ 1 2 m v_ 2 f ^2 2 v_1^2=2 v_ 1 f ^2+v_ 2 f ^2 ....(iii) From (i), (ii), (iii), aligned & 3 v_ 1 f ^2-4 v_1 v_ 1 f +v_1^2=0 \\ & (-4 v_1 )^2-4(3) (v_1^2 ) 0 \\ & ^2 3 4 \\ & ^2 3 2 \\ & = 6 aligned
Related: Physics — Center of Mass Momentum and Collision · All PYQ Banks