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Structure of Atom question

2024 · 9 Apr · Shift 2 · Q10
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Structure of Atom question

2024 · 9 Apr · Shift 2 · Q10

JEE MainChemistryStructure of AtomMCQ+4 / −1
The candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 'AAA' ×1012\times 10^{12}×1012 hertz and that has a radiant intensity in that direction of 1′B′\frac{1}{{ 'B'}}′B′1​, watt per steradian. 'AAA' and 'BBB' are respectively
  1. A
    450 and 683
  2. B
    540 and 1683\frac{1}{683}6831​
  3. C
    540 and 683
  4. D
    450 and 1683\frac{1}{683}6831​
View written solutionFree

Correct answer: C

  1. Recall the SI definition of candela

    The candela is defined as:

    the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 540×1012 Hz540 \times 10^{12}\ \text{Hz}540×1012 Hz and that has a radiant intensity in that direction of 1683 W sr−1.\frac{1}{683}\ \text{W sr}^{-1}.6831​ W sr−1.

  2. Compare with the given form

    The question gives:

    • frequency =A×1012= A \times 10^{12}=A×1012 Hz
    • radiant intensity =1B= \dfrac{1}{B}=B1​ watt per steradian

    From the SI definition: A=540A = 540A=540 and 1B=1683  ⟹  B=683\frac{1}{B} = \frac{1}{683} \implies B = 683B1​=6831​⟹B=683

  3. Match with the options

    The pair (A,B)(A,B)(A,B) is: (540,683)(540,683)(540,683)

    So the correct option is C.

  4. Comparison with stored answer

    Stored correct answer: C

    Our derived answer: C

    Hence, the derived answer agrees with the stored answer.

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