TS EAMCET · Physics · Center of Mass Momentum and Collision

A particle of mass $m_{1}$ collides with a particle of $m_{2}$ at rest. After the elastic collision, the two particles moves at an angle of $90 °$ with respect to each other. The ratio $\frac{m_{2}}{m_{1}}$ is

A $1$
B $1.5$
C $2$
D $2.5$

Verified Solution

Answer & Solution

Correct Answer

(A) $1$

Step-by-step Solution

Detailed explanation

According to the equation for the coefficient of restitutione=velocityofseparationaftercollisionvelocityofapproachbeforecollisione=v2-v1u1-u2along the line of impact.From the figure,e=v2-0u1cosθ-0=1u1cosθ=v2According to the conservation of momentum along the line of…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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A particle of mass m1 collides with a particle of m2 at rest. After the elastic collision, the two particles moves at an angle of 90° with respect to each other. The ratio m2m1 is

Step-by-step Solution

A particle of mass $m_{1}$ collides with a particle of $m_{2}$ at rest. After the elastic collision, the two particles moves at an angle of $90 °$ with respect to each other. The ratio $\frac{m_{2}}{m_{1}}$ is