If `gamma` denotes the ratio of specific heats `(C_p//C_v)` of a gas,then the ratio of slopes of adiabatic to isothermal on P-V curve at their point of intersection is :

The moment of the force F acting at a point P, about the point C is

Derive the relationship between C_(p) and C_(v) .

A circle has the same center as an ellipse and passes through the foci F_1a n dF_2 of the ellipse, such that the two curves intersect at four points. Let P be any one of their point of intersection. If the major axis of the ellipse is 17 and the area of triangle P F_1F_2 is 30, then the distance between the foci is

Fill in the blanks: C_p of a gas is …………than its C_v .

Find the equation of a curve passing through the point (1,pi/4) if the slope of the tangent to the curve at any point P(x,y) is y/x-cos^2(y/x)

If g_e and g_p denote the acceleration due to gravity on the surface of earth and another planet whose mass and radius are twice that of earth, then the ratio (g_p)/(g_e) is

A gas obeys the equation of state P(V-b) =RT (The parameter b is a constnat The slope for an isochore will be .

If the normals at two points P and Q of a parabola y^2 = 4ax intersect at a third point R on the curve, then the product of ordinates of P and Q is