A metal rod of length L rotates about one end at origin with a uniform angular velocity ω. The magnetic field radially f…

\({B}_{o}\omega \left[\frac{1}{{\lambda }^{2}}-{e}^{-\lambda L}\left(\frac{1}{{\lambda }^{2}}+\frac{L}{\lambda }\right)\right]\)

\({B}_{o}\omega \left[\frac{1}{{\lambda }^{2}}+{e}^{-\lambda L}\left(\frac{1}{{\lambda }^{2}}+\frac{L}{\lambda }\right)\right]\)

\({B}_{o}\omega \left[\frac{4}{{\lambda }^{2}}-{e}^{-2\lambda L}\left(\frac{1}{{\lambda }^{2}}+\frac{2L}{\lambda }\right)\right]\)

\({B}_{o}\omega \left[\frac{3}{{\lambda }^{2}}-{e}^{-3\lambda L}\left(\frac{3}{{\lambda }^{2}}+\frac{L}{\lambda }\right)\right]\)