Structure of atom practice · Mixed difficulty

The radial wave equation for hydrogen atom is $\psi=\frac{1}{16 \sqrt{4}}\left(\frac{1}{a_0}\right)^{\frac{3}{2}}\left[(x-1)\left(x^2-8 x+12\right)\right] e^{-\frac{x}{2}}$ where ${x}=\frac{2 {r}}{{a}_0}, {a}_0=$ radius of first bohr's orbit the minimum and maximum position of radial nodes from nucleus are:

The wavelength (in cm) of second line in the Lyman series of hydrogen atomic spectrum is (R = Rydbery constant)

Which wave property is directly proportional to energy of electromagnetic radiation:

The radius of Bohr's first orbit in H-atom is 0.053 nm. The radius of second orbit in $\mathrm{H}{\mathrm{e}^ + }$ would be:

Energy of photon of visible light is

Which of the following atoms has same number of protons and neutrons in its nucleus?

From $\mathrm{n}^{\text {th }}$ shell electron comes back to lymen series of hydrogen atom. If wavelength of hydrogen spectrum is same as wavelength for $\mathrm{n}=4$ to $\mathrm{n}=2$ transition of $\mathrm{He}^{+}$spectrum. What is the value of $\mathrm{n}$ for hydrogen atom.

A photon of 300 nm is absorbed by a gas which then
re-emits two photons. One re-emitted photon has
wavelength of 496 nm. Wavelength of other re-emitted
photon is

$C a$ has atomic no. 20 and atomic weight 40 . Which of the following statements is not correct about ${Ca}$ atom

The radius of which of the following orbit is same as that of first Bohr’s orbit of Hydrogen atom

In an atom wave mechanics suggests that electrons:

If velocity of an electron in first Bohr orbit of Hydrogen atom is $x$, its velocity in 3rd orbit will be

Of the following transitions in hydrogen atom, the one which gives an absorption line of lowest frequency is :

If ${E_1},{E_2}$ and ${E_3}$ represents kinetic energy of electron, $\alpha -$ particle and proton respectively (having same De Broglie wavelength) then

The total energy in $1^{\text {st }}$ orbit of hydrogen atom is given by

When high speed electrons strike a target:

X-rays were discovered by :

Calculate the wavelength (in nanometer) associated with a proton moving at $1.0 \times {10^3}\mathrm{m}{\mathrm{s}^{ - 1}}$ (Mass of proton $= 1.67 \times {10^{ - 27}}\mathrm{kg\;and\;}h = 6.63 \times {10^{ - 34}}\mathrm{\;Js}$)

The ratio of momentum of a proton and an $\alpha$-particle which are accelerated from rest by a potential difference of 200 V. $m_p$ and $m_\alpha$ are masses of proton and $\alpha$-particles:

Three isotopes of an element have mass numbers, m,(m+1) and (m+2). If the mean mass number is (m+0.5) then which of the following ratios may be accepted for m,(m+1),(m+2) in that order:

Bohr’s radius of 2nd orbit of $\mathrm{B}{\mathrm{e}^{3 + }}$ is equal to that of

The momentum of a photon of frequency $5 \times {10^{17}}{\mathrm{s}^{ - 1}}$ is nearly:

The work function for a metal is 4 eV. To emit a photoelectron of zero velocity from the surface of the metal, the wavelength of incident light should be:

The presence of charge particles in the atoms was first confirmed by

Which transition in the hydrogen spectrum would have the same wavelength as the Balmer type transition, n=4 to n=2 of $\mathrm{H}{\mathrm{e}^ + }$ spectrum?

A photoelectric cell is a device, which :

Minimum de Broglie wavelength is associated with

The de Broglie wavelength of electron of $\mathrm{He}^{+}$ion is $3.32 \mathop {\text{A}}\limits^ \circ$. If the photon emitted upon de-excitation of this $\mathrm{He}^{+}$ion is made to hit $\mathrm{H}$-atom in its ground state so as to liberate electron from it, then what will be the de Broglie wavelength of photoelectron?

The electronic configuration of an element in ultimate and penultimate orbitals is $\left( {n-1} \right){s^2}\left( {n-1} \right){p^6}\left( {n-1} \right){d^x}\;n{s^2}$. If $n=4$ and $x=5$ then number of protons in the nucleus is

Select the one among the following transitions in hydrogen atom, which gives an absorption line of lowest frequency