A series LCR circuit containing an AC source of 100 V has an inductor and a capacitor of reactances $24 \Omega$ and $16 \Omega$ respectively. If a resistance of $6 \Omega$ is connected in series, then the potential difference across the series combination of inductor and capacitor only is
$$ \text { Match the following types of waves with their wavelength ranges } $$
$$ \begin{array}{|l|l|} \hline \text { Waves } & \text { Wavelength ranges } \\ \hline \text { i. Microwave } & \text { a. } 700 \mathrm{~nm} \text { to } 400 \mathrm{~nm} \\ \hline \text { ii. Visible light } & \text { b. } 1 \mathrm{~nm} \text { to } 10^{-3} \mathrm{~nm} \\ \hline \text { iii. Ultraviolet } & \text { c. } 0.1 \mathrm{~m} \text { to } 1 \mathrm{~mm} \\ \hline \text { iv. X-rays } & \text { d. } 400 \mathrm{~nm} \text { to } 1 \mathrm{~nm} \\ \hline \end{array} $$A ray of light passes from vaccum into a medium of refractive index $n$. If the angle of incidence is twice the angle of refraction, then the angle of incidence in terms of refractive index is
A convex lens has power P. It is cut into two halves along its principal axis. Further one piece (out of two halves) is cut into two halves perpendicular to the principal axis as shown in figure. Choose the incorrect option for the reported lens pieces
