If $|a|=1, |b|=2$ and the angle between $a$ and $b$ is $120^{\circ}$,then ${(a+3b) \times (3a-b)}^2$ is equal to

If $y$ is a function of $x$ and $\log(x+y) = 2xy$,then the value of $y'(0)$ is

If $\alpha, \beta$ and $\gamma$ are the roots of the equation $x^3+p x^2+q x+r=0$,then the coefficient of $x$ in the cubic equation whose roots are $\alpha(\beta+\gamma), \beta(\gamma+\alpha)$ and $\gamma(\alpha+\beta)$ is

What is the typical duration of the cell cycle in a yeast cell?

What is the correct relationship between the $pH$ values of isomolar solutions of sodium oxide $(pH_1)$,sodium sulphide $(pH_2)$,sodium selenide $(pH_3)$,and sodium telluride $(pH_4)$?

The order of catenation property for $C$,$Si$,and $Ge$ is $Ge < Si < C$. Which of the following represents the bond energy $\left( kJ \ mol^{-1} \right)$ for $C-C$,$Si-Si$,and $Ge-Ge$ bonds respectively?