The collision between two gas molecules with different masses results in the velocity of the first molecule decreasing by 1/4. if the collision is elastic, which of the following statements is true? a. the velocity of the second molecule will increase by a factor of 4. b. the velocity of the second molecule will increase by a factor of 16. c. the velocity of the second molecule will decrease by a factor of 16. d. the velocity change of the second molecule depends on both the mass and the velocity of the first molecule. explain why it is the right answer too

The correct option is D.

Explanation: We are given two gas molecules with different masses. The collision between them is elastic, hence the Total Kinetic energy of the system is conserved.

Initial Kinetic Energy:

Final Kinetic Energy:

where,

= mass of first molecule

= mass of second molecule

= initial velocity of first molecule

= initial velocity of second molecule

= final velocity of first molecule

= final velocity of second molecule

Elastic Collision:

That is,

    .....(1)

We are given in the question that the final velocity of first molecule is decreased by 1/4, which means:

Putting this value in equation 1 , we get

taking on other side, we get

From the above relation, it is visible that the velocity change of the second molecule depends on both mass and velocity of the first molecule.

answer; /// i do believe that the correct answer is (a) boiling

the formula for the conversion of temperature from degree celsius to kelvin is:

the sample of water at is converted to kelvin temperature by using the above formula as:

on comparing the two samples of water at or we can say that at and at respectively. the difference between the temperatures of two samples of water is:

hence, one can say that the sample of water at is greater than the sample of water at by .