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Question: Match the following Column -I | Column -II ---|--- i) X-rays | a) v = $1 \cdot 10^4$ Hz ii) UV | b)...

Match the following

Column -IColumn -II
i) X-raysa) v = 11041 \cdot 10^4 Hz
ii) UVb) v = 101010^{10} Hz
iii) Long radio wavesc) v = 101610^{16} Hz
iv) Microwaved) v = 101810^{18} Hz
A

i-c, ii-d, iii-a, iv-e

B

i-b, ii-d, iii-a, iv-c

C

i-c, ii-e, iii-a, iv-d

D

i-d, ii-c, iii-a, iv-b

Answer

i-d, ii-c, iii-a, iv-b

Explanation

Solution

  1. Recall the approximate frequency ranges for different types of electromagnetic waves:
    • Long radio waves: typically 104 Hz10^4 \text{ Hz} to 106 Hz10^6 \text{ Hz}.
    • Microwaves: typically 3×108 Hz3 \times 10^8 \text{ Hz} to 3×1011 Hz3 \times 10^{11} \text{ Hz}.
    • Ultraviolet (UV) rays: typically 7.5×1014 Hz7.5 \times 10^{14} \text{ Hz} to 3×1016 Hz3 \times 10^{16} \text{ Hz}.
    • X-rays: typically 3×1016 Hz3 \times 10^{16} \text{ Hz} to 3×1019 Hz3 \times 10^{19} \text{ Hz}.
  2. Match the given wave types with the frequencies provided in Column-II:
    • i) X-rays: The frequency 1018 Hz10^{18} \text{ Hz} (d) falls within the X-ray range.
    • ii) UV: The frequency 1016 Hz10^{16} \text{ Hz} (c) falls within the UV range (at its upper limit).
    • iii) Long radio waves: The frequency 1104 Hz1 \cdot 10^4 \text{ Hz} (a) falls within the long radio wave range.
    • iv) Microwave: The frequency 1010 Hz10^{10} \text{ Hz} (b) falls within the microwave range.
  3. The correct matching is i-d, ii-c, iii-a, iv-b.