Question
Identify the INCORRECT statements from the following:
A. Notation $\ _{12}^{24}Mg$ represents 24 protons and 12 neutrons.
B. Wavelength of a radiation of frequency $4.5 \times 10^{15}{\text{ }s}^{- 1}$ is $6.7 \times 10^{- 8}\text{ }m$.
C. One radiation has wavelength $= \lambda_{1}(900\text{ }nm)$ and energy $= E_{1}$. Other radiation has wavelength $= \lambda_{2}(300\text{ }nm)$ and energy $= E_{2} \cdot E_{1}:E_{2} = 3:1$.
D. Number of photons of light of wavelength 2000 pm that provides 1 J of energy is $1.006 \times 10^{16}$.
Choose the correct answer from the options given below:
Options
Solution
A) $\ _{12}{Mg}^{24}$ represents 12 protons and 12 neutrons.
B) $\lambda = \frac{C}{v} = \frac{3 \times 10^{8}}{4.5 \times 10^{15}} = 6.67 \times 10^{- 8}\text{ }m$.
C) $\frac{E_{1}}{E_{2}} = \frac{hC/\lambda_{1}}{hC/\lambda_{2}} = \frac{\lambda_{2}}{\lambda_{1}}$
$$\frac{E_{1}}{E_{2}} = \frac{300}{900} = \frac{1}{3}\text{~(false)~}$$
D) No. of photons $= \frac{\text{~Energy~}}{hC/\lambda} = 10^{16}$ (True)
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