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)
Consider a water tank shown in the figure. It has one wall at \(x = L\) and can be taken to be very wide in the z direction. When filled with a liquid of surface tension \(S\) and density \( \rho \), the liquid surface makes angle \( \theta_0 \) (\( \theta_0 < < 1 \)) with the x-axis at \(x = L\). If \(y(x)\) is the height of the surface then the equation for \(y(x)\) is: (take \(g\) as the acceleration due to gravity)
A constant voltage of 50 V is maintained between the points A and B of the circuit shown in the figure. The current through the branch CD of the circuit is :