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Consider a gas enclosed in a box. A molecule of mass m, having a velocity -2i+3j+4k collides with a wall parallel to the xz plane. What will be its velocity after collision and its change in momentum? i,j & k are unit vectors along the x,y & z axis.

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Consider a gas enclosed in a box. A molecule of mass m, having a velocity -2i+3j+4k collides with a wall parallel to the xz plane. What will be its velocity after collision and its change in momentum? i,j & k are unit vectors along the x,y & z axis.

(a) -2i-3j+4k, -6mj

(b) 2i+3j-4k, -6mj

(c) -2i-3j+4k, 6mj

(d) 2i+3j-4k, 6mj

The question was asked in an online quiz.

I would like to ask this question from Kinetic Theory of an Ideal Gas in division Kinetic Theory of Physics – Class 11

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Right answer is (a) -2i-3j+4k, -6mj

To elaborate: On collision with a wall parallel to the xz plane, only the y-component will change.

Thus, new velocity will be -2i-3j+4k.

The change in momentum will be -3mj-3mj = -6mj.

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