Show that the slope of adiabatic curve at any point is `lamda` times the slope of an isothermal curve at the corresponding point.

The slope of adiabatic curve is _________________than the slope of an isothermal curve.

The slope of work-time curve at any instant gives

Find the slope of tangent of the curve y =4x at the point (-1,4).

The slope of isothermal and adiabatic curves are related as

The ratio of slopes of adiabatic and isothermal curves is

The slope of the tangent at any point on a curve is lambda times the slope of the line joining the point of contact to the origin. Formulate the differential equation and hence find the equation of the curve.

A gas may expand either adiabatically or isothermally. A number of p-V curves are drawn for the two processes over different ranges of pressure and volume, it will be found that (i) Two adiabatic curves do not intersect (ii) two isothermal curves do not intersect (iii) an adiabatic curve and an isothermal curve may intersect. (iv) the magnitude of the slope of an adiabatic curve is greater thanthe magnitude of the slope of an isothermal curve

A curve having the condition that the slope of the tangent at some point is two times the slope of the straight line joining the same point to the origin of coordinates is a/an

Find the equation of a curve passing through the origin given that the slope of the tangent to the curve at any point (x,y) is equal to the sum of the coordinates of the point.