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A half wavelength dipole is kept in the $x-y$ plane and oriented along $45^{\circ}$ from the $x$-axis. Determine the direction of null in the radiation pattern for $0\leq \phi \leq \pi$. Here the angle $\theta (0\leq \theta \leq \pi )$ is measured from the $z$-axis and the angle$\phi (0\leq \theta \leq 2\pi )$ is measured from the $x$-axis in the $x-y$ plane.

- $\theta =90^{o},\phi =45^{o}$
- $\theta =45^{o},\phi =90^{o}$
- $\theta =90^{o},\phi =135^{o}$
- $\theta =45^{o},\phi =135^{o}$