KVPY Government Jobs Exams

In a thermally isolated system, two boxes filled with an ideal gas are connected by a valve. When the valve is in closed position, states of the box 1 and 2, respectively, are (1 atm, V, T) and (0.5 atm, 4V, T). When the valve is opened, the final pressure of the system is approximately
option
(A) 0.5 atm
(B) 0.6 atm
(C) 0.75 atm
(D) 1.0 atm

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KVPY Other Question

Three taps A, B, C fill up a tank independently in 10 hr, 20 hr, 30 hr, respectively. Initially the tank is empty and exactly one pair of taps is open during each hour and every pair of taps is open at least for one hour. What is the minimum number of hours required to fill the tank?
option
(A) 8
(B) 9
(C) 10
(D) 11 A student sees the top edge and the bottom center C of a pool simultaneously from an angle i¸ above the horizontal as shown in the figure. The refraction index of water which fills up to the top edge of the pool is 4/3. If h/x = 7/4 then cos i¸ is