An object of mass m₁ collides with another object of mass m₂, which is at rest. After collision the objects move with equal speeds in the opposite direction. The ratio of the masses m₂: m₁ is :
An object of mass m₁ collides with another object of mass m₂, which is at rest. After collision the objects move with equal speeds in the opposite direction. The ratio of the masses m₂: m₁ is :
Option 1 -
1:1
Option 2 -
3:1
Option 3 -
1:2
Option 4 -
2:1
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1 Answer
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Correct Option - 4
Detailed Solution:With the help of definition of e, we can write
e = v? /v? = 2v/u ⇒ u = 2v/e . (2)Putting the value of e in equation (1), we have
m? (2v/e) = (m? - m? )v ⇒ 2m? = em? - em? ⇒ m? /m? = (2+e)/e = 1 + 2/e > 2
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