JEE MAIN 2022 ONLINE 29TH JULY EVENING SHIFT

The vertical component of the earth's magnetic field is \(6 \times 10^{-5} \mathrm{~T}\) at any place where the angle of dip is \(37^{\circ}\). The earth's resultant magnetic field at that place will be \(\left(\right.\)Given \(\left.\tan 37^{\circ}=\frac{3}{4}\right)\)

Dinitrogen is a robust compound, but reacts at high altitudes to form oxides. The oxide of nitrogen that can damage plant leaves and retard photosynthesis is :

$$\begin{aligned} &\text { Let }\left\{a_{n}\right\}_{n=0}^{\infty} \text { be a sequence such that } a_{0}=a_{1}=0 \text { and } \\\\ &a_{n+2}=3 a_{n+1}-2 a_{n}+1, \forall n \geq 0 . \end{aligned}$$

Then \(a_{25} a_{23}-2 a_{25} a_{22}-2 a_{23} a_{24}+4 a_{22} a_{24}\) is equal to

Read the following statements :

(A) Volume of the nucleus is directly proportional to the mass number.

(B) Volume of the nucleus is independent of mass number.

(C) Density of the nucleus is directly proportional to the mass number.

(D) Density of the nucleus is directly proportional to the cube root of the mass number.

(E) Density of the nucleus is independent of the mass number.

Choose the correct option from the following options.

Given below are the critical temperatures of some of the gases:

The gas showing least adsorption on a definite amount of charcoal is

\(\sum\limits_{r=1}^{20}\left(r^{2}+1\right)(r !)\) is equal to