A cylindrical conductor of radius R is carrying a constant current. The plot of the magnitude of the…

Inside $(\mathrm{d}<\mathrm{R})$

Magnetic field inside conductor

$\mathrm{B}=\mathrm{Kd} ..\left(\mathrm{i}\right)$

This is straight line passing through origin

At surface $(\mathrm{d}=\mathrm{R})$

$\mathrm{B}=\frac{{\mu }_0}{2\pi }\frac{1}{\mathrm{d}}$

Maximum at surface

Outside $(\mathrm{d}>\mathrm{R})$

$\mathrm{B}=\frac{{\mu }_0}{2\pi }\frac{1}{\mathrm{d}}$

or $\mathrm{B}\propto \frac{1}{\mathrm{d}}$  $\therefore$ Hyperbolic

Hence the correct option is (B)