In a reversible isothermal process,the change in internal energy is ...... .

The set of solutions of the equation $(\sqrt{3}-1) \sin \theta+(\sqrt{3}+1) \cos \theta=2$ is

Which one of the following statements is correct with respect to basic character?

$A$ disc of radius $R$ and thickness $\frac{R}{6}$ has moment of inertia $I$ about an axis passing through its centre and perpendicular to its plane. The disc is melted and recast into a solid sphere. The moment of inertia of the sphere about its diameter is

The rate constant for the reaction,$2 \ N_2O_{5(g)} \longrightarrow 2 \ N_2O_{4(g)} + O_{2(g)}$ is $4.98 \times 10^{-4} \ s^{-1}$. What is the order of reaction?

Heating phthalic anhydride and concentrated sulfuric acid with which of the following yields phenolphthalein?