Question
Two cylinder A and B having piston connected by massless rod (as shown in figure) The cross-sectional area of two cylinders are same & equal to ‘S’ The cylinder A contains m gm of an ideal gas at Pressure P & temperature
The cylinder B contain identical gas at same temperature
but has different mass The piston is held at the state in the position so that volume of gas in cylinder A & cylinder B are same & is equal to V0 The walls & piston of cylinder A are thermally insulated, where as cylinder B is maintained at temperature
The whole system is in vacuum Now the piston is slowly released and it moves towards left & mechanical equilibrium is reached at the state when the volume of gas in cylinder A becomes
Then (here g for gas = 1.5) The mass of gas in cylinder B
![](data:image/png;base64,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)
- m
The correct answer is: ![3 square root of 2 m](data:image/png;base64,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)
Related Questions to study
If a spring extends by x cm loading then what is the energy stored by the spring ? (If is tension in the spring & K is spring constant)
If a spring extends by x cm loading then what is the energy stored by the spring ? (If is tension in the spring & K is spring constant)
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
Assertion : A random variable X takes the values 0,1,2. It’s mean is 0.6. If P(X=0) =0.5 then P(X=1) = 0.4
Reason: If X : S
R is a discrete random variable with range
1 2 3 x , x , x ,.... then mean ![equals stretchy sum from r equals 1 to infinity of x subscript r end subscript P open parentheses X equals x subscript r end subscript close parentheses](data:image/png;base64,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)
Assertion : A random variable X takes the values 0,1,2. It’s mean is 0.6. If P(X=0) =0.5 then P(X=1) = 0.4
Reason: If X : S
R is a discrete random variable with range
1 2 3 x , x , x ,.... then mean ![equals stretchy sum from r equals 1 to infinity of x subscript r end subscript P open parentheses X equals x subscript r end subscript close parentheses](data:image/png;base64,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)
Infinite limits in calculus occur when the function is unbounded and tends toward infinity or negative infinity as x approaches a given value.
Infinite limits in calculus occur when the function is unbounded and tends toward infinity or negative infinity as x approaches a given value.
A wire of length 50 cm and cross - sectional area of 1 mm2 is extended by 1 mm what will be the required work?![open parentheses straight Y equals 2 cross times 10 to the power of 11 Nm to the power of negative 2 end exponent close parentheses](data:image/png;base64,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)
A wire of length 50 cm and cross - sectional area of 1 mm2 is extended by 1 mm what will be the required work?![open parentheses straight Y equals 2 cross times 10 to the power of 11 Nm to the power of negative 2 end exponent close parentheses](data:image/png;base64,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)
The work per unit volume to stretch the length by 1% of a wire with cross - section area 1 mm2 will be.....
The work per unit volume to stretch the length by 1% of a wire with cross - section area 1 mm2 will be.....
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
Young's modulus of the material of a wire is Y. On pulling the wire by a force F the increase in its length is x, what is the potential energy of the stretched wire?
Young's modulus of the material of a wire is Y. On pulling the wire by a force F the increase in its length is x, what is the potential energy of the stretched wire?
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or