A ball of mass m moving at a speed v makes a head on collision with an identical ball at rest . The kinetic energy of the balls after the collision is three fourths of the original . Find the coefficient of restitution 1. ๐‘ฃ/(√3) 2. √3 3. (√3)/(√2) 4. (√2)/(√3)

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Two rigid boxes containing different ideal gases are placed on a table . Box A contains one mole of nitrogen at temperature ๐‘‡_๐‘œ , while box B contains one mole of helium at temperature 7/3 ๐‘‡_๐‘œ . The boxes are then put into thermal contact with each other and heat flows between them until the gases reach a common final temperature (ignore the heat capacity of boxes and heat exchange will happen only between boxes ) . Then the final temperature of the gases in terms of ๐‘‡_๐‘œ is 7/3 ๐‘‡_๐‘œ 3/2 ๐‘‡_๐‘œ 5/2 ๐‘‡_๐‘œ 3/7 ๐‘‡_๐‘œ

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