Which one of the following pairs of international organizations and their headquarters is incorrect?
This question asks us to identify the incorrect pairing between an international organization and its headquarters from the given options.
To solve this, we need to know the correct headquarters for each mentioned organization:
| Organization | Stated Headquarters | Actual Headquarters |
|---|---|---|
| UN (United Nations) | New York, USA | New York, USA |
| FAO (Food and Agriculture Organization) | Rome, Italy | Rome, Italy |
| IAEA (International Atomic Energy Agency) | The Hague, Netherlands | Vienna, Austria |
| UNESCO (United Nations Educational, Scientific and Cultural Organization) | Paris, France | Paris, France |
Let's examine each option:
Based on this verification, the incorrect pair is IAEA - The Hague, Netherlands.
A solid spherical cork of radius $R$ and specific gravity $0.5$ floats on water. The cork is pushed down so that its centre of mass is at a distance $h$ (where $0 < h < R$) below the surface of water, and then released. The volume of the part of the cork above water level is $\pi R^3 \left(\frac{2}{3} - \cos\theta_0 + \frac{1}{3}\cos^3\theta_0\right)$, where $\theta_0$ is the angle as shown in the figure.

At the moment of release, the dependence of the upward force on the cork on $h$ is
The low lying energy levels due to the vibrational excitations of an even-even nucleus are shown in the figure below.
The spin-parity $J^p$ of the level $E_1$ is