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Structure of Atom question

2024 · 8 Apr · Shift 1 · Q24
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Structure of Atom question

2024 · 8 Apr · Shift 1 · Q24

JEE MainChemistryStructure of AtomNumerical+4 / −1
A hypothetical electromagnetic wave is show below. JEE Main 2024 (Online) 8th April Morning Shift Chemistry - Structure of Atom Question 27 English The frequency of the wave is x×1019 Hz\mathrm{x} \times 10^{19} \mathrm{~Hz}x×1019 Hz. x=‾\mathrm{x}=\underline{\hspace{2cm}}x=​ (nearest integer)
Numerical answer
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Correct answer: 5

  1. Use the electromagnetic spectrum relation

    For any electromagnetic wave,

u = \frac{c}{\lambda}

where: - $\nu$ = frequency - $c = 3 \times 10^8\ \text{m s}^{-1}$ - $\lambda$ = wavelength 2. **Read the wavelength from the given figure** From the hypothetical EM wave shown, the wavelength is approximately

\lambda \approx 6 \times 10^{-12}\ \text{m}

3.∗∗Calculatethefrequency∗∗ 3. **Calculate the frequency** 3.∗∗Calculatethefrequency∗∗

\nu = \frac{3 \times 10^8}{6 \times 10^{-12}}

\nu = \frac{3}{6} \times 10^{8-(-12)}

\nu = 0.5 \times 10^{20} = 5 \times 10^{19}\ \text{Hz}

4.∗∗Comparewiththeformgiveninthequestion∗∗Thequestionsaysfrequencyis 4. **Compare with the form given in the question** The question says frequency is4.∗∗Comparewiththeformgiveninthequestion∗∗Thequestionsaysfrequencyis

x \times 10^{19}\ \text{Hz}

So,So,So,

x = 5

5.∗∗Nearestinteger∗∗ 5. **Nearest integer** 5.∗∗Nearestinteger∗∗

x = 5

**Final Answer:** $5$
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