Two particles having masses 4 g and 16 g respectively are moving with equal kinetic energies. The ratio of magnitudes of their linear momentum is n ∶ 2. The value of n will be ______. 

Answer (Detailed Solution Below) 1

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JEE Main 04 April 2024 Shift 1
90 Qs. 300 Marks 180 Mins

Detailed Solution

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CONCEPT:

The kinetic energy is defined as the ratio of the square momentum and twice the mass and it is written as;

K.E. = 

here we have p as the momentum and m as the particle's mass.

CALCULATION:

The mass of particle 1 = 4 g

and mass of the particle 2 = 16 g

The kinetic energy of particle 1  =  = 

and kinetic energy of the particle 2 =  = 

The kinetic energy of particle 1 equals the kinetic energy of particle 2.

 = 

⇒  = 

⇒  = 

Therefore, n = 1

Hence, n = 1.

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