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In the diagram shown in figure mass of b...

In the diagram shown in figure mass of both the balls in same. Match the following columns.

`{:("Column1","Column2"),("A For" v^(')=v,"P e=0"),("B For" v^(')=v//2,"Q e=1"),("C For" v^(')= 3//4v,"R e=1/2"),("-","(S data is insufficient"):}`

Text Solution

Verified by Experts

The correct Answer is:
A `rightarrow`q, B `rightarrow`p, C `rightarrow`r
When e = 1 collision is elastic and equal masses exchange their velocities.
For e=0, collisioin is perfectly inelastic. Hence, velocity of each will remain half.
In the last case, when `v_(2) = 3/4v`
Then, `v_(1) = v/4` ( from conservation of momentum)
`e = ((3v)/4-(v/4))/v = 1/2`
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