The catalyst and promoter respectively used in the Haber's process of industrial synthesis of ammonia are

$\int \frac{\log \sqrt{x}}{3 x} dx$ is equal to

$A$ police party is moving in a jeep at a constant speed $v$. They see a thief at a distance $x$ on a motorcycle which is at rest. The moment the police see the thief,the thief starts moving with a constant acceleration $a$. Which of the following relations is true if the police are able to catch the thief?

If $\int \sqrt{\frac{x}{a^3-x^3}} \, dx = g(x) + c$, then $g(x)$ is equal to:

Consider the situation shown in the figure. Water $(\mu = 4/3)$ is filled in a beaker up to a height of $10 \, cm$. $A$ plane mirror is fixed at a height of $5 \, cm$ from the surface of the water. The distance of the image from the mirror after reflection from it of an object $O$ at the bottom of the beaker is ..... $cm$.

Which of the following metals belong to the same group in the periodic table?