Two moles of an ideal monoatomic gas at occupies a volume of V If the gas is expanded adiabatically to the volume 2V, then the work done by the gas will be

One mole of an ideal gas undergoes an isothermal change at temperature 'T' so that its volume V is doubled R is the molar gas constant Work done by the gas during this change is

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

If then xy+1=

A wire of length 2 m is made from 10 cm³ of copper. A force F is applied so that its length increases by 2 mm. Another wire of length 8 m is made from the same volume of copper. If the force F is applied to it, its length will increase by….

The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign.

The velocity of a train which starts from rest is given by

The time being recorded in minutes from the start and the speed in kmph. Find approximately the total distance run in 20 minutes by simpson’s rule is

A river is 40 metre wide. The depth d in metres at a distance x metres from a bank is given in the following table. Using simpson's rule, estimate the area of cross section of the river in square metres is

The refractive index of the material of the prism and liquid are 1.56 and 1.32 respectively. What will be the value of for the following refraction

An isosceles prism of angle 120° has a refractive index of 1.44. Two parallel monochromatic rays enter the prism parallel to each other in air as shown. The rays emerging from the opposite faces

If the interatomic spacing in a steel wire is   the force constant =…..

In the figure rectangle ABCD, what is the probability that a randomly chosen point that in ABCD lies inside the triangle ABE is