JEE Main · 2024 · Shift-IIeasyATOM-070

The candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of…

Structure of Atom · Class 11 · JEE Main Previous Year Question

Question

The candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 'AA' ×1012\times 10^{12} hertz and that has a radiant intensity in that direction of 1B\frac{1}{B} watt per steradian. 'AA' and 'BB' are respectively:

Options
  1. a

    540 and 683

  2. b

    450 and 683

  3. c

    450 and 1/683

  4. d

    540 and 1/683

Correct Answera

540 and 683

Detailed Solution

🧠 The Fundamental Unit Check The definition of the Candela is based on a specific frequency where the human eye is most sensitive.

🗺️ The Definition Map

  1. Frequency (AA): According to the SI definition, the monochromatic radiation frequency is 540×1012 Hz540 \times 10^{12} \text{ Hz}. So, A=540A = 540.
  2. Intensity (1/B1/B): The radiant intensity is exactly 1/683 watt per steradian\mathbf{1/683} \text{ watt per steradian}. So, B=683B = 683.

The "555-683" Memory Hook 540 THz540 \text{ THz} corresponds to light near 555 nm555 \text{ nm} (Green). Memorize 555555 and 683683 together—they are the DNA of luminous intensity.

⚠️ Common Traps Don't swap the numbers! 683683 is the denominator for intensity, not the frequency.

Answer: (A)\boxed{\text{Answer: (A)}}

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