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A rifle fires a bullet. Immediately after the bullet is fired, which of the following is NOT true?

• Option 1)

the rifle and the bullet have the same magnitude of momentum

• Option 2)

the force on the rifle due to the bullet and the force on the bullet due to the rifle have the same magnitude

• Option 3)

the rifle and the bullet do not have the same kinetic energy

• Option 4)

the rifle and the bullet have the same kinetic energy

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Perfectly Elastic Collision -

Law of conservation of momentum and that of Kinetic Energy hold good.

- wherein

$\frac{1}{2}m_{1}u_{1}^{2}+\frac{1}{2}m_{2}u_{2}^{2}= \frac{1}{2}m_{1}v_{1}^{2}+\frac{1}{2}m_{2}v_{2}^{2}$

$m_{1}u_{1}+m_{2}u_{2}=m_{1}v_{1}+m_{2}v_{2}$

$m_{1},m_{2}:masses$

$u_{1},v_{1}:initial \: and\: final \: velocity\: of \: the\: mass\ m_{1}$

$u_{2},v_{2}:initial \: and\: final \: velocity\: of \: the\: mass\ m_{2}$

the rifle and the sullet have the same Kinetic energy

Option 1)

the rifle and the bullet have the same magnitude of momentum

This option is incorrect

Option 2)

the force on the rifle due to the bullet and the force on the bullet due to the rifle have the same magnitude

This option is incorrect

Option 3)

the rifle and the bullet do not have the same kinetic energy

This option is incorrect

Option 4)

the rifle and the bullet have the same kinetic energy

This option is correct

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