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) If work done by the gas in cylinder B is W_B & work done by the gas in cylinder A is W_A then

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 change in internal energy of gas in cylinder A

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

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 

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

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?

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 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?

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or