If $3p^2 = 5p + 2$ and $3q^2 = 5q + 2$ where $p \neq q$,then the equation whose roots are $3p - 2q$ and $3q - 2p$ is:

$A$ radioactive material of half-life $T$ was produced in a nuclear reactor at different instants. The quantity produced the second time was twice that produced the first time. If their present activities are $A_1$ and $A_2$ respectively,then their age difference equals:

The $IUPAC$ name of the compound given below is:

When a glass prism of refracting angle $60^{\circ}$ is immersed in a liquid,its angle of minimum deviation is $30^{\circ}$. The critical angle of glass with respect to the liquid medium is (in $^{\circ}$)

The Poisson's ratio of a material is $0.5$. If a force is applied to a wire of this material,there is a decrease in the cross-sectional area by $4 \%$. The percentage increase in the length is ........ $\%$

Benzene and toluene form an ideal solution over the entire range of composition. The vapour pressure of pure benzene and toluene at $T \ K$ are $50 \ mm \ Hg$ and $40 \ mm \ Hg$ respectively. What is the mole fraction of toluene in vapour phase when $117 \ g$ of benzene is mixed with $46 \ g$ of toluene? (molar mass of benzene and toluene are $78 \ g \ mol^{-1}$ and $92 \ g \ mol^{-1}$ respectively)