A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to: $v(x) = \beta x^{-2n}$ where $\beta$ and $n$ are constants and $x$ is the position of the particle. The acceleration of the particle as a function of $x$ is given by

If radius of the $^{27}_{13}Al$ nucleus is taken to be $R_{Al}$ then the radius of $^{125}_{53}Te$ nucleus is nearly

In Duma’s method for estimation of nitrogen, $0.25$ g of an organic compound gave $40$ mL of nitrogen collected at $300K$ temperature and $725$ mm pressure. If the aqueous tension at $300K$ is $25$ mm, the percentage of nitrogen in the compound is?

The K$_{sp}$ of Ag$_2$CrO$_4,$AgCl, AgBr, and AgI are respectively, $1.1 \times 10^{-12}, 1.8 \times 10^{-10}, 5.0 \times 10^{-13}$ and $8.3 \times 10^{-17}.$Which one of the following salts will precipitate last if AgNO$_3$ solution is added to the solution containing equal moles of NaCl, NaBr, NaI, and Na$_2$CrO$_4?$

Bithionol is generally added to the soaps as an additive to function as a/an

‘Metals are usually not found as nitrates in their ores’. Out of the following two (a and b) reasons, which is/are true for the above observation?$\\$(a) Metal nitrates are highly unstable.$\\$(b) Metal nitrates are highly soluble in water.