List-I | List-II | ||
(A) | mI | (I) | Shape of orbital |
(B) | ms | (II) | Size of orbital |
(C) | I | (III) | Orientation of orbital |
(D) | n | (IV) | Orientation of spin of electron |
Let's match each quantum number with the information it provides:
(A) ml (Magnetic Quantum Number):
The magnetic quantum number (ml) describes the spatial orientation of an orbital. It determines the number of orbitals and their orientation within a subshell.
Therefore, (A) matches with (III) Orientation of orbital.
(B) ms (Spin Quantum Number):
The spin quantum number (ms) describes the intrinsic angular momentum of an electron, which is also called spin angular momentum. It specifies the orientation of the spin of an electron.
Therefore, (B) matches with (IV) Orientation of spin of electron.
(C) l (Azimuthal Quantum Number):
The azimuthal quantum number (l) determines the shape of an orbital and the subshell to which an electron belongs. It can have values from 0 to n-1.
Therefore, (C) matches with (I) Shape of orbital.
(D) n (Principal Quantum Number):
The principal quantum number (n) determines the size of an orbital and the energy level to which an electron belongs. It can have positive integer values (1, 2, 3, ...).
Therefore, (D) matches with (II) Size of orbital.
Matching Summary:
(A) - (III)
(B) - (IV)
(C) - (I)
(D) - (II)
A bob of heavy mass \(m\) is suspended by a light string of length \(l\). The bob is given a horizontal velocity \(v_0\) as shown in figure. If the string gets slack at some point P making an angle \( \theta \) from the horizontal, the ratio of the speed \(v\) of the bob at point P to its initial speed \(v_0\) is :