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Q.

Two vertical conducting cylinders A and B of different cross sections are connected by a thin tube as shown. An ideal gas is trapped in the cylinder by two airtight pistons of masses 1.0 kg  and  2.0 kg  respectively. Initially the pistons are at the same height 40cm above the base of the cylinders. If an additional masses of 10g were gently placed on the piston in the cylinder A. Which of the following statements correctly describe the new steady state ultimately reached
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a

Pressure of the gas remains unchanged

b

Height difference between the pistons becomes 30 cm

c

Height difference between the pistons becomes 60 cm

d

Pressure of the gas has been increased

answer is B, D.

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Detailed Solution

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P=mgA+P0  which remains unchanged 
Piston A slowly settles at bottom and B rises by 20cm
Separation = 60 cm

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Two vertical conducting cylinders A and B of different cross sections are connected by a thin tube as shown. An ideal gas is trapped in the cylinder by two airtight pistons of masses 1.0 kg  and  2.0 kg  respectively. Initially the pistons are at the same height 40cm above the base of the cylinders. If an additional masses of 10g were gently placed on the piston in the cylinder A. Which of the following statements correctly describe the new steady state ultimately reached