The rate of disintegration of a fixed quantity of a radioactive element can be increased by

In an electrochemicalcell, dichromate ions in aqueous acidic medium are reduced to $Cr ^{3+}$. The current $($in amperes$)$ that flows through the cell for $48.25$ minutes to produce $1$ mole of $Cr ^{3+}$ is $....$ . Use: $1$ Faraday $=96500 C mol ^{-1}$

Four diatomic species are listed below. Identify the correct order in which the bond order is increasing in them:

The load versus elongation graph for four wires of the same material is shown in the figure. The thickest wire is represented by the line

$A$ wooden cube of side $10 \ cm$ floats at the interface between water and oil with its lower surface $3 \ cm$ below the interface. If the density of oil is $0.9 \ g \ cm^{-3}$, the mass of the wooden cube is (in $g$)

The solution of $\frac{dy}{dx} = \frac{y^2}{xy - x^2}$ is