Work done in time $t$ on a body of mass $m$ which is accelerated from rest to a speed $v$ in time $t_1$ as a function of time $t$ is given by

Which of the following characters was not chosen by Mendel for genetic study in garden pea plant?

Compound $PdCl_4 \cdot 6H_2O$ is a hydrated complex; $1 \, m$ aqueous solution of it has a freezing point of $269.28 \, K$. Assuming $100 \%$ ionization of the complex,calculate the molecular formula of the complex ($K_f$ for water $= 1.86 \, K \, kg \, mol^{-1}$,freezing point of pure water $= 273.15 \, K$).

$A$ sample of a radioactive element has a mass of $10 \, g$ at an instant $t = 0$. The approximate mass of this element in the sample after two mean lives is ........ $g$.

$A$ nucleus ruptures into two nuclear parts which have their velocity ratio equal to $2 : 1$. What will be the ratio of their nuclear size (nuclear radius)?

$A$ working transistor with its three legs marked $P, Q$ and $R$ is tested using a multimeter. No conduction is found between $P$ and $Q$. By connecting the common (negative) terminal of the multimeter to $R$ and the other (positive) terminal to $P$ or $Q$,some resistance is seen on the multimeter. Which of the following is true for the transistor?