The coefficient of $x^5$ in the expansion of $(1+x^2)^5(1+x)^4$ is:

$A$ conducting square loop of side $L$ and resistance $R$ moves in its plane with a uniform velocity $v$ perpendicular to one of its sides. $A$ magnetic induction $B$,constant in time and space,pointing perpendicular and into the plane of the loop,exists everywhere with half the loop outside the field,as shown in the figure. The induced $emf$ is

Which of the following sulfate salts has the highest solubility in water?

Consider the following reactions:
$C_2H_2 \xrightarrow[500^{\circ}C]{\text{red hot iron tube}} A$
$A \xrightarrow[70^{\circ}C]{\text{conc. } HNO_3, \text{conc. } H_2SO_4} B$
$B \xrightarrow{LiAlH_4} C_6H_5-N=N-C_6H_5$
$A$ and $B$ are:

$A$ black body radiates energy at the rate of $E \text{ W/m}^2$ at a high temperature $T \text{ K}$. When the temperature is reduced to $\left(\frac{T}{2}\right) \text{ K}$,the radiant energy is

$A$ string is stretched between fixed points separated by $75.0 \ cm$. It is observed to have resonant frequencies of $420 \ Hz$ and $315 \ Hz$. There are no other resonant frequencies between these two. Then,the lowest resonant frequency for this string is .... $Hz$.