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a brass ring has a diameter of 20cm when placed in melting ice at 0°Celsius. what will it's diameter be if it is placed in a boiling water?
Work out the specific heat capacity of a substance if it takes 5200J of energy to heat 2kg of it from 42°C to 47°C.
Define adiabatic lapse rate and show that

dT/dh= {(–γ–1)/γ} (Mg/R)

Plot a graph between atmospheric temperature with altitude.
For a Bose-Einstein system, the expression for the thermodynamic probability is:

W=π{(gi+Ni–1)!/(Ni !(gi–1)!)}

Derive an expression for the Bose-Einstein distribution function.
1: Efficient Engineer

An engineer is given the task to extract the maximum work out of two bodies A and B whose

heat capacities are CA and CB respectively. They are kept at temperatures TA and TB ( in

Kelvin scale). The engineer first tries to put these two bodies in contact.

(a) What would be the amount of work extracted during this process?

The engineer then tries to design an engine to get the best output ( work ) from this situation.

(b) What in your opinion would be the best method to achieve this goal?

(c) Find the value of the parameter for this ”engine” that will guarantee that the work is

extracted in the method is indeed maximum.
A bag contains 3 black balls, 7 white balls, 6 black cubes, and 14 white cubes. Find the probability of drawing a ball and a black object
The probability that Juan will win a game of chess whenever he plays is ¼. If he plays twice, what are the odds that he wins the 1st game and loses the 2nd game?
A bag contains 5 red balls and 6 white balls. If we draw 4 balls, find the probability that at least 3 balls are white.
In how many ways can 3 men be selected out of 15 men if 2 of the men are to be excluded from every selection?
A bag contains 9 balls numbered 1 to 9. Two balls are drawn at random. Find the probability that one is odd and the other is even.
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