(D) The relationship between wavelength $(\lambda)$,speed of light $(c)$,and frequency $(\nu)$ is given by $\lambda = \frac{c}{\nu}$.Given: $c = 3.0 \

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(D) The relationship between wavelength $(\lambda)$,speed of light $(c)$,and frequency $(\nu)$ is given by $\lambda = \frac{c}{\nu}$.Given: $c = 3.0 \times 10^8 \ m \ s^{-1}$ and $\nu = 8 \times 10^{15} \ s^{-1}$.Substituting the values: $\lambda = \frac{3.0 \times 10^8}{8 \times 10^{15}} = 0.375 \times 10^{-7} \ m = 3.75 \times 10^{-8} \ m$.To convert meters to nanometers $(nm)$,multiply by $10^9$: $\lambda = 3.75 \times 10^{-8} \times 10^9 \ nm = 37.5 \ nm$.The approximate value is $4 \times 10^1 \ nm$.

Class 11 Chemistry Structure of Atom Atomic models and Planck's quantum theory

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The values of Planck's constant and the speed of light are $6.63 \times 10^{-34} \ J \ s$ and $3.0 \times 10^8 \ m \ s^{-1}$ respectively. Find the approximate wavelength in nanometers $(nm)$ of a light ray with a frequency of $8 \times 10^{15} \ s^{-1}$.

A
$3 \times 10^7$
B
$2 \times 10^{-25}$
C
$5 \times 10^{-18}$
D
$4 \times 10^1$

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Structure of Atom

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Atomic models and Planck's quantum theory

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The values of Planck's constant and the speed of light are $6.63 \times 10^{-34} \ J \ s$ and $3.0 \times 10^8 \ m \ s^{-1}$ respectively. Find the approximate wavelength in nanometers $(nm)$ of a light ray with a frequency of $8 \times 10^{15} \ s^{-1}$.

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The difference between the radii of $3^{rd}$ and $2^{nd}$ orbit of $H$ atom is $x \text{ pm}$. The difference between the radii of $4^{th}$ and $3^{rd}$ orbit of $Li^{2+}$ ion is $y \text{ pm}$. The ratio $y:x$ is equal to:

In the Bohr series of lines of the hydrogen spectrum,the third line from the red end corresponds to which one of the following inter-orbit jumps of the electron for Bohr orbits in an atom of hydrogen?

If the threshold wavelength for a metal is $\lambda_0$ and the wavelength of incident light is $\lambda$,what will be the maximum velocity of the emitted electrons?

The masses of photons corresponding to the first lines of Lyman and Balmer series of the spectrum of hydrogen atom are in the ratio of

What is the number of waves formed by an electron in the $5^{th}$ Bohr orbit of a hydrogen atom?

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