The incorrect relation for a diamagnetic material (all the symbols carry their usual meaning and $$\varepsilon$$ is a small positive number) is

An ideal fluid is flowing in a non-uniform cross-sectional tube $$X Y$$ (as shown in the figure) from end $$X$$ to end $$Y$$. If $$K_1$$ and $$K_2$$ are the kinetic energy per unit volume of the fluid at $$X$$ and $$Y$$ respectively, then the correct option is :

The escape velocity for earth is $$v$$. A planet having 9 times mass that of earth and radius, 16 times that of earth, has the escape velocity of:

An electron and an alpha particle are accelerated by the same potential difference. Let $$\lambda_e$$ and $$\lambda_\alpha$$ denote the de-Broglie wavelengths of the electron and the alpha particle, respectively, then: