Which one of the following pairs of hormones can easily pass through the cell membrane of a target cell and bind to a receptor inside it (mostly in the nucleus)?

If $f: R \rightarrow R$ is defined by $f(x) = [x-3] + |x-4|$ for $x \in R$,then $\lim_{x \rightarrow 3^{-}} f(x)$ is equal to

$A$ mixture of $2\, \text{moles}$ of helium gas (atomic mass $= 4\, \text{amu}$) and $1\, \text{mole}$ of argon gas (atomic mass $= 40\, \text{amu}$) is kept at $300\, \text{K}$ in a container. The ratio of the $r.m.s.$ speeds $\left( \frac{v_{\text{rms}}(\text{helium})}{v_{\text{rms}}(\text{argon})} \right)$ is

Diffraction effects are easier to notice in the case of sound waves than in the case of light waves because

Which one of the following symbols and its representation,used in human pedigree analysis is correct?

Which of the following compounds exhibits optical isomerism?