The binding energy per nucleon of ${O^{16}}$ is $7.97 \, MeV$ and that of ${O^{17}}$ is $7.75 \, MeV$. The energy (in $MeV$) required to remove a neutron from ${O^{17}}$ is

For reaction aldehyde in acidic medium reaction of column-$I$ and its derived product in column-$II$ and their product are given in column-$III$. So match accordingly.

If a straight line perpendicular to $2x - 3y + 7 = 0$ forms a triangle with the coordinate axes whose area is $3 \text{ sq. units}$,then the equation of the straight line is:

Consider the following gaseous equilibria with equilibrium constants $K_{1}$ and $K_{2}$ respectively.
$SO_{2(g)} + \frac{1}{2} O_{2(g)} \rightleftharpoons SO_{3(g)}$
$2 SO_{3(g)} \rightleftharpoons 2 SO_{2(g)} + O_{2(g)}$
The equilibrium constants are related as

In any $\triangle ABC$,$a(b \cos C - c \cos B)$ equals

Two long parallel wires are at a distance $2d$ apart. They carry steady equal currents flowing out of the plane of the paper as shown. The variation of the magnetic field $B$ along the line $XX'$ is given by