A point source of light S is placed at the bottom of a vessel containing a liquid of refractive index 5/3. A person is viewing the source from above the surface. There is an opaque disc D of radius 1 cm floating on the surface of the liquid. The centre of the disc lies vertically above the source S. The liquid from the vessel is gradually drained out through a tap. The maximum height of the liquid for which the source cannot be seen at all from above is

A ray of light strikes a plane mirror M at an angle of 45° as shown in the figure. After reflection, the ray passes through a prism of refractive index 1.5 whose apex angle is 4°. The total angle through which the ray is deviated is

A rod is fived between two points at 20° The Coefficient of linear expansion of material of rad is   and Young's modulus is  . Find the stress developed in the rod if temperature of rod becomes 10°

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 

A cyclic process performed on one mole of an ideal gas A total 1000 J of heat is withdrawn from the gas in a complete cycle Find the work done by the gas during the process

A thermodynamic system is taken through the cycle PQRSP process The net work done by the system is

The heat energy absorbed by a system in going through a cyclic process shown in figure is

A system changes from the state (p₁,v_(A) to (p₂,v_(B) as shown in the diagram The work done by the system is

In the given elliptical P - V diagram

A Sample of ideal monoatomic gas is taken round the cycle ABCA as shown in the figure The work done during the cycle is

On a T-P diagram, two moles of ideal gas perform process AB and CD If the work done by the gas in the process AB is two times the work done in the process CD then what is the value of T₁/T₂?

The figure shows P-V graph of an ideal one mole gas undergone to cyclic process ABCA, then the process is

An ideal monoatomic gas is taken round the cycle ABCDA as shown in the diagram The work done during the cycle is

The value of c in Lagrange's Mean Value theorem for the function  in the interval [-1,1] is

The Coefficient of linear expansion of brass & steel are  If we take a brass rod of length & steel rod of length  at ,0°c, their difference in length  will remain the same at a temperature if