Atomic Structure

The wave function ${\mathrm{\psi}}_{\mathrm{n},l,{\mathrm{m}}_{1}}$is a mathematical function whose value depends upon spherical polar coordinates (r, θ, ϕ) of the electron and characterized by the quantum numbers n, l and m

For the given orbital in column 1, the only

_{1}. Here r is distance from nucleus, θ is colatitude and ϕ is azimuth. In the mathematical functions given in the Table, Z is atomic number a_{0}is Bohr radius. Column-1 |
Column-2 |
Column-3 |

(I) 1s orbital | (i) ${\mathrm{\psi}}_{\mathrm{n},l,{\mathrm{m}}_{1}}\propto {\left(\frac{\mathrm{Z}}{{\mathrm{a}}_{0}}\right)}^{\frac{3}{2}}{\mathrm{e}}^{-\left(\frac{\mathrm{Zr}}{{\mathrm{a}}_{\mathrm{e}}}\right)}$ | |

(II) 2s orbital | (ii) One radial node | (Q) Probability density at nucleus $\propto \frac{1}{{a}_{0}^{3}}$ |

(III) 2p_{z} orbital |
(iii) ${\mathrm{\psi}}_{\mathrm{n},l,{\mathrm{m}}_{1}}\propto {\left(\frac{\mathrm{Z}}{{\mathrm{a}}_{0}}\right)}^{\frac{5}{2}}{\mathrm{re}}^{-\left(\frac{\mathrm{Zr}}{2{\mathrm{a}}_{\mathrm{e}}}\right)}\mathrm{cos\theta}$ | (R) Probability density is maximum at nucleus |

(IV) $3{\mathrm{d}}_{\mathrm{z}}^{2}$ orbital | (iv) xy - plane is a nodal plane | (S) Energy needed to excite electron from n = 2 state to n = 4 state is $\frac{27}{32}$ times the energy needed to excite electron from n = 2 state to n = 6 state |

For the given orbital in column 1, the only

**CORRECT**combination for any hydrogen - like species is :
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JEE Advanced 2017

The wave function ${\mathrm{\psi}}_{\mathrm{n},l,{\mathrm{m}}_{1}}$is a mathematical function whose value depends upon spherical polar coordinates (r, θ, ϕ) of the electron and characterized by the quantum numbers n, l and m

For He

_{1}. Here r is distance from nucleus, θ is colatitude and ϕ is azimuth. In the mathematical functions given in the Table, Z is atomic number a_{0}is Bohr radius. Column-1 |
Column-2 |
Column-3 |

(I) 1s orbital | (i) ${\mathrm{\psi}}_{\mathrm{n},l,{\mathrm{m}}_{1}}\propto {\left(\frac{\mathrm{Z}}{{\mathrm{a}}_{0}}\right)}^{\frac{3}{2}}{\mathrm{e}}^{-\left(\frac{\mathrm{Zr}}{{\mathrm{a}}_{\mathrm{e}}}\right)}$ | |

(II) 2s orbital | (ii) One radial node | (Q) Probability density at nucleus $\propto \frac{1}{{a}_{0}^{3}}$ |

(III) 2p_{z} orbital |
(iii) ${\mathrm{\psi}}_{\mathrm{n},l,{\mathrm{m}}_{1}}\propto {\left(\frac{\mathrm{Z}}{{\mathrm{a}}_{0}}\right)}^{\frac{5}{2}}{\mathrm{re}}^{-\left(\frac{\mathrm{Zr}}{2{\mathrm{a}}_{\mathrm{e}}}\right)}\mathrm{cos\theta}$ | (R) Probability density is maximum at nucleus |

(IV) $3{\mathrm{d}}_{\mathrm{z}}^{2}$ orbital | (iv) xy - plane is a nodal plane | (S) Energy needed to excite electron from n = 2 state to n = 4 state is $\frac{27}{32}$ times the energy needed to excite electron from n = 2 state to n = 6 state |

For He

^{+}ion, the only**INCORRECT**combination is
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JEE Advanced 2017

The wave function ${\mathrm{\psi}}_{\mathrm{n},l,{\mathrm{m}}_{1}}$is a mathematical function whose value depends upon spherical polar coordinates (r, θ, ϕ) of the electron and characterized by the quantum numbers n, l and m

For hydrogen atom, the only

_{1}. Here r is distance from nucleus, θ is colatitude and ϕ is azimuth. In the mathematical functions given in the Table, Z is atomic number a_{0}is Bohr radius. Column-1 |
Column-2 |
Column-3 |

(I) 1s orbital | (i) ${\mathrm{\psi}}_{\mathrm{n},l,{\mathrm{m}}_{1}}\propto {\left(\frac{\mathrm{Z}}{{\mathrm{a}}_{0}}\right)}^{\frac{3}{2}}{\mathrm{e}}^{-\left(\frac{\mathrm{Zr}}{{\mathrm{a}}_{\mathrm{e}}}\right)}$ | |

(II) 2s orbital | (ii) One radial node | (Q) Probability density at nucleus $\propto \frac{1}{{a}_{0}^{3}}$ |

(III) 2p_{z} orbital |
(iii) ${\mathrm{\psi}}_{\mathrm{n},l,{\mathrm{m}}_{1}}\propto {\left(\frac{\mathrm{Z}}{{\mathrm{a}}_{0}}\right)}^{\frac{5}{2}}{\mathrm{re}}^{-\left(\frac{\mathrm{Zr}}{2{\mathrm{a}}_{\mathrm{e}}}\right)}\mathrm{cos\theta}$ | (R) Probability density is maximum at nucleus |

(IV) $3{\mathrm{d}}_{\mathrm{z}}^{2}$ orbital | (iv) xy - plane is a nodal plane | (S) Energy needed to excite electron from n = 2 state to n = 4 state is $\frac{27}{32}$ times the energy needed to excite electron from n = 2 state to n = 6 state |

For hydrogen atom, the only

**CORRECT**combination is
View Solution

JEE Advanced 2017

The work function of some metals is listed below. The number of metals which will show photoelectric effect when light of 300nm was wavelength falls on the metals is

Metal |
Li |
Na |
K |
Mg |
Cu |
Ag |
Fe |
Pt |
W |

2.4 |
2.3 |
2.2 |
3.7 |
4.8 |
4.3 |
4.7 |
6.3 |
4.75 |

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JEE Advanced 2011

In the following statements, a statement of assertion is followed by a statement of reason. Select a suitable answer from the following option:

Assertion | : | As the distance of shell increases from the nucleus, its energy level increases. |

Reason | : | The energy of a shell, E_{n} α $\raisebox{1ex}{$-1$}\!\left/ \!\raisebox{-1ex}{${\mathrm{n}}^{2}$}\right.$ . |

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AIIMS 0

In the following statements, a statement of assertion is followed by a statement of reason. Select a suitable answer from the following option:

Assertion | : | Rutherford studied the first nuclear reaction :${}_{7}{}^{14}\mathrm{N}+{}_{2}{}^{4}\mathrm{He}\to {}_{8}{}^{17}\mathrm{O}+{}_{1}{}^{1}\mathrm{H}+1.193\mathrm{MeV}$ |

Reason | : | α - particles lesser than energy 7.6 MeV were found ineffective. |

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AIIMS 0

Read the following statements. There is an assertion followed by a reason. Choose the correct answer from the following option:

Assertion | : | Wavelength of I^{st} line of Lyman series in H-atom is less then wavelength of I^{st} line of Humphrey series. |

Reason | : | $\u2206\mathrm{E}=\frac{hc}{\mathrm{\lambda}}$ . |

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AIIMS 0

Read the following statements. There is are assertion followed by a reason. Choose the correct answer from the following option:

Assertion | : | Melting of ice at 20° C is an irreversible process. |

Reason | : | Evaporation of water at 100° C and 1 atm pressure is a reversible process. |

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AIIMS 0

Answer the following questions by appropriately matching the information given in the three columns of the following table.

Which of the following combinations is correct in relation to the species discovered by Rutherford?

Column I |
Column II |
Column III |
|||

(I) | Higher e/m | (i) | Lyman series | (P) | λ in nm |

(II) | $\mathrm{\lambda}=91.17\left[\frac{{\mathrm{n}}^{2}}{{\mathrm{n}}^{2}-1}\right]$ | (ii) | 9.58 × 10^{7} C kg^{–1} |
(Q) | Electron |

(III) | Lower e/m | (iii) | Balmer series | (R) | λ in Å |

(IV) | $\mathrm{\lambda}=3647\left[\frac{{\mathrm{n}}^{2}}{{\mathrm{n}}^{2}-4}\right]$ | (iv) | –1.76 × 10^{11 }C kg^{–1} |
(S) | Proton |

Which of the following combinations is correct in relation to the species discovered by Rutherford?

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JEE Advanced 0

Answer the following questions by appropriately matching the information given in the three columns of the following table.

Which combination correctly represents a light beam having wavelength falling in the ultraviolet region?

Column I |
Column II |
Column III |
|||

(I) | Higher e/m | (i) | Lyman series | (P) | λ in nm |

(II) | $\mathrm{\lambda}=91.17\left[\frac{{\mathrm{n}}^{2}}{{\mathrm{n}}^{2}-1}\right]$ | (ii) | 9.58 × 10^{7} C kg^{–1} |
(Q) | Electron |

(III) | Lower e/m | (iii) | Balmer series | (R) | λ in Å |

(IV) | $\mathrm{\lambda}=3647\left[\frac{{\mathrm{n}}^{2}}{{\mathrm{n}}^{2}-4}\right]$ | (iv) | –1.76 × 10^{11 }C kg^{–1} |
(S) | Proton |

Which combination correctly represents a light beam having wavelength falling in the ultraviolet region?

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JEE Advanced 0

Answer the following questions by appropriately matching the information given in the three columns of the following table.

An electron is excited from n = 2 to n = 5. Which of the following combinations correctly represents the given condition?

Column I |
Column II |
Column III |
|||

(I) | Higher e/m | (i) | Lyman series | (P) | λ in nm |

(II) | $\mathrm{\lambda}=91.17\left[\frac{{\mathrm{n}}^{2}}{{\mathrm{n}}^{2}-1}\right]$ | (ii) | 9.58 × 10^{7} C kg^{–1} |
(Q) | Electron |

(III) | Lower e/m | (iii) | Balmer series | (R) | λ in Å |

(IV) | $\mathrm{\lambda}=3647\left[\frac{{\mathrm{n}}^{2}}{{\mathrm{n}}^{2}-4}\right]$ | (iv) | –1.76 × 10^{11 }C kg^{–1} |
(S) | Proton |

An electron is excited from n = 2 to n = 5. Which of the following combinations correctly represents the given condition?

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JEE Advanced 0

**Match the Column:**

Column IElectronic configuration |
Column IITotal spin |
||

a |
1s^{2} |
p |
$\pm \frac{5}{2}$ |

b |
1s^{2} 2s^{2} 2p^{6} |
q |
$\pm \frac{3}{2}$ |

c |
1s^{2} 2s^{2} 2p^{5} |
r |
$\pm \frac{1}{2}$ |

d |
1s^{2} 2s^{2} 2p^{3} |
s |
$\pm \frac{7}{2}$ |

e |
1s^{2} 2s^{2} 2p^{6}3s^{2}3p^{6}3d^{5}4s^{2} |
t |
Zero |

Which of the following option is correct match:

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JEE Advanced 0