AP EAPCET 2024 - 22th May Morning Shift | Atomic Structure Question 1 | Chemistry

If the longest wavelength of spectral line of Paschen series of $\mathrm{Li}^{2+}$ ion spectrum is $x \mathop {\rm{A}}\limits^{\rm{o}}$. Then the longest wavelength (in $\mathop {\rm{A}}\limits^{\rm{o}}$ ) of Lyman series of hydrogen spectrum is

$\frac{12}{7 x}$

$\frac{7 x}{12}$

$\frac{20 x}{27}$

$\frac{27 x}{20}$

AP EAPCET 2024 - 22th May Morning Shift

MCQ (Single Correct Answer)

-0

If $v_0$ is the threshold frequency of a metal $X$, the correct relation between de-Broglie wavelength $(\lambda)$ associated with photoelectron and frequency $(v)$ of the incident radiation is

$\lambda \propto \frac{1}{\sqrt{v-v_0}}$

$\lambda \propto \frac{1}{\left(v-v_0\right)^{1 / 4}}$

$\lambda \propto \frac{1}{\left(v-v_0\right)^{3 / 4}}$

$\lambda \propto \sqrt{v-v_0}$

AP EAPCET 2024 - 21th May Evening Shift

MCQ (Single Correct Answer)

-0

The difference in radii between fourth and third Bohr orbit of $\mathrm{He}^{+}($in m$)$ is

$2.64 \times 10^{-10}$

$1.85 \times 10^{-12}$

$1.85 \times 10^{-10}$

$1.85 \times 10^{-9}$

AP EAPCET 2024 - 21th May Evening Shift

MCQ (Single Correct Answer)

-0

If $\lambda_0$ and $\lambda$ are respectively the threshold wavelength and wavelength of incident light the velocity of photo electrons ejected from the metal surface is

$\sqrt{\frac{2 h}{m}\left(\lambda_0-\lambda\right)}$

$\sqrt{\frac{2 h c}{m}\left(\frac{\lambda_0-\lambda}{\lambda \lambda_0}\right)}$

$\sqrt{\frac{2 h c}{m}\left(\lambda_0-\lambda\right)}$

$\sqrt{\frac{2 h}{m}\left(\frac{1}{\lambda_0}-\frac{1}{\lambda}\right)}$

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