Find the value of the current through the $2\,\Omega$ resistance for the given circuit. (in $,A$)

The average degree of freedom per molecule of a gas is $6$. The gas performs $25 \ J$ of work while expanding at constant pressure. The heat absorbed by the gas is .... $J$

The body of the ovule is fused with the funicle at:

$A$ flywheel is in the form of a solid circular disc of mass $72 \, kg$ and radius $0.5 \, m$. If it rotates at $70 \, r.p.m.$,then the rotational kinetic energy is approximately ....... $J$.

If ${a^{x - 1}} = bc$,${b^{y - 1}} = ca$,and ${c^{z - 1}} = ab$,then find the value of $\sum \frac{1}{x}$.

If $S_n = 1^3 + 2^3 + \ldots + n^3$ and $T_n = 1 + 2 + \ldots + n$,then