Angular momentum of an electron in the second shell of a $Li^{+2}$ ion is:

  • A
    $6.62 \times 10^{-34} \ J \ s$
  • B
    $3.31 \times 10^{-27} \ erg \ s$
  • C
    $1.054 \times 10^{-27} \ erg \ s$
  • D
    $2.108 \times 10^{-27} \ erg \ s$

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Assertion : The radius of the first orbit of hydrogen atom is $0.529 \ \mathring{A}$.
Reason : Radius of each circular orbit $(r_n) = 0.529 \ \mathring{A} \ (n^2/Z)$,where $n = 1, 2, 3$ and $Z =$ atomic number.

Calculate the radius of the fourth orbit of the $B^{4+}$ ion. (in $pm$)

$A$ source of monochromatic radiation of wavelength $400 \, nm$ provides $1000 \, J$ of energy in $10 \, seconds$. When this radiation falls on the surface of sodium,$x \times 10^{20}$ electrons are ejected per second. Assume that wavelength $400 \, nm$ is sufficient for ejection of electrons from the surface of sodium metal. The value of $x$ is $......$. (Nearest integer) $(h = 6.626 \times 10^{-34} \, Js)$

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?

Match List-$I$ with List-$II$.
List-$I$ (Spectral Series for Hydrogen) List-$II$ (Spectral Region)
$A$. Lyman $I$. Infrared region
$B$. Balmer $II$. $UV$ region
$C$. Paschen $III$. Infrared region
$D$. Pfund $IV$. Visible region

Choose the correct answer from the options given below:

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