Column - I lists the waves of the electromagnetic spectrum. Column - II gives approximate frequency range of these waves. Match Column - I and Column - II and choose the correct match from the given choices.
Let's match each type of wave to its approximate frequency range:
- Radio waves (A): Radio waves generally have a frequency range from \( 10^8 \) to \( 10^{20} \) Hz. This corresponds to option (R).
- Microwaves (B): Microwaves typically range from \( 10^{10} \) to \( 5 \times 10^{14} \) Hz. This corresponds to option (S).
- Infrared (C): Infrared waves have a frequency range from \( 10^{12} \) to \( 10^{15} \) Hz. This corresponds to option (Q).
- X-rays (D): X-rays have a frequency range of \( 10^{16} \) to \( 10^{20} \) Hz. This corresponds to option (Q).
Thus, the correct matching is (A)-(R) (B)-(S) (C)-(Q) (D)-(Q), which corresponds to answer choice B.
If the ratio of lengths, radii and Young's Moduli of steel and brass wires in the figure are $ a $, $ b $, and $ c $ respectively, then the corresponding ratio of increase in their lengths would be: