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B.Sc Biochemistry JEE Main 2023 Mixed — practice questions

Explore 75 free JEE Main 2023 Mixed questions in B.Sc Biochemistry Chemistry. Open each question or exercise to read its content, reference answers and available explanation.

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JEE Main 2023 Mixed questions and exercises with answers

Showing questions 1–30 of 75.

The wave number $\bar{\nu}$ of electromagnetic radiation is defined asRead the answer and worked solution →In vacuum, the velocity of electromagnetic radiation isRead the answer and worked solution →A photon has wavelength $400\,nm$. Its frequency is approximatelyRead the answer and worked solution →The wave number of a photon of frequency $6 \times 10^{14}\,Hz$ (in vacuum) isRead the answer and worked solution →According to Planck's quantum theory, energy is emitted or absorbed in discrete packets calledRead the answer and worked solution →The energy of a photon of wavelength $\lambda$ is given byRead the answer and worked solution →A photon of wavelength $300\,nm$ has approximately what energy in eV? (Use $hc = 1240\,eV\,nm$.)Read the answer and worked solution →In the photoelectric effect, the kinetic energy of the ejected electron depends onRead the answer and worked solution →The threshold frequency $\nu_0$ for a metal is the minimum frequencyRead the answer and worked solution →Light of frequency $\nu = 2\nu_0$ ejects photoelectrons from a metal with threshold frequency $\nu_0$. The maximum KE of the photoelectrons isRead the answer and worked solution →Rutherford's $\alpha$-particle scattering experiment used a thin foil of which metal?Read the answer and worked solution →For a hydrogen-like atom of nuclear charge $Z$, the radius of the $n$th Bohr orbit scales asRead the answer and worked solution →The energy of the $n$th Bohr orbit of a hydrogen-like atom isRead the answer and worked solution →The ratio of the radii of the third Bohr orbit of $He^+$ and the first Bohr orbit of $H$ isRead the answer and worked solution →The velocity of the electron in the $n$th Bohr orbit of a hydrogen-like atom is proportional toRead the answer and worked solution →The energy required to remove the electron from the first excited state ($n=2$) of $He^+$ isRead the answer and worked solution →Which series of the hydrogen spectrum lies entirely in the *visible* region?Read the answer and worked solution →Rydberg's formula for the wave number of a hydrogen spectral line isRead the answer and worked solution →The longest wavelength line in the Lyman series of hydrogen corresponds to the transitionRead the answer and worked solution →The de Broglie wavelength of a particle of mass $m$ and momentum $p$ isRead the answer and worked solution →The de Broglie wavelength of an electron in the $n$th Bohr orbit, in terms of the orbit radius $r_n$, isRead the answer and worked solution →An electron is accelerated through a potential difference of $100\,V$. Its de Broglie wavelength is approximatelyRead the answer and worked solution →Heisenberg's uncertainty principle relates the uncertainties in position and momentum asRead the answer and worked solution →The minimum uncertainty in the velocity of an electron whose position is known to within $\Delta x = 0.1\,nm$ is approximatelyRead the answer and worked solution →The principal quantum number $n$ can take valuesRead the answer and worked solution →For principal quantum number $n$, the orbital quantum number $l$ takes valuesRead the answer and worked solution →For orbital quantum number $l$, the magnetic quantum number $m_l$ takes valuesRead the answer and worked solution →How many orbitals are present in the $n = 3$ shell?Read the answer and worked solution →The maximum number of electrons in the subshell with $n = 4, l = 2$ isRead the answer and worked solution →Which set of quantum numbers $(n, l, m_l, m_s)$ is **NOT** allowed?Read the answer and worked solution →

Worked practice questions

The wave number $\bar{\nu}$ of electromagnetic radiation is defined as

$\bar{\nu} = c\lambda$
$\bar{\nu} = \lambda/c$
$\bar{\nu} = 1/\lambda$
$\bar{\nu} = \lambda$

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Correct answer: C. $\bar{\nu} = 1/\lambda$

Wave number is the number of waves per unit length, i.e. the reciprocal of wavelength: $\bar{\nu} = 1/\lambda$ in $m^{-1}$ (or $cm^{-1}$ in spectroscopy).

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In vacuum, the velocity of electromagnetic radiation is

$3 \times 10^{8}\,m\,s^{-1}$
$3 \times 10^{5}\,m\,s^{-1}$
$3 \times 10^{6}\,m\,s^{-1}$
$3 \times 10^{10}\,m\,s^{-1}$

Show answer and solution

Correct answer: A. $3 \times 10^{8}\,m\,s^{-1}$

All EM radiation travels at $c = 3 \times 10^{8}\,m\,s^{-1}$ in vacuum, regardless of wavelength.

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A photon has wavelength $400\,nm$. Its frequency is approximately

$7.5 \times 10^{14}\,Hz$
$7.5 \times 10^{12}\,Hz$
$4.0 \times 10^{16}\,Hz$
$1.3 \times 10^{6}\,Hz$

Show answer and solution

Correct answer: A. $7.5 \times 10^{14}\,Hz$

$\nu = c/\lambda = (3 \times 10^{8})/(400 \times 10^{-9}) = 7.5 \times 10^{14}\,Hz$.

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