\(\text{E}_{\text{cell}}\) for the given cell
\(\text{Pt(s)/Br}_2\text{(l)/Br}^-\text{(0.1 M)//Cl}^-\text{(0.01 M)/Cl}_2\text{(g)(1 atm)/Pt(s)}\)
\(\text{[Given E}^\text{o}_{\text{Br}_2\text{/Br}^-} = +1.09\text{ V, E}^\text{o}_{\text{Cl}_2\text{/Cl}^-} = +1.36\text{ V}]\) at 298 K is

Read the passage carefully and answer the Questions
The decomposition of \(N_2O_5\ (g)\) is given as
\(N_2O_5(g) \rightarrow 2NO_2(g) + \frac{1}{2}O_2(g)\)
The above reaction is found to be of first order.
Choose the correct statement about the rate of the reaction:

Aniline reacts with bromine water at room temperature and forms a compound \(X\). Identify X.

Which of the following complexes will show absorbance of light at the lowest wavelength?

\(t_{99\%}\) with respect to \(t_{90\%}\) for a first order reaction is :

Arrange the following amines in increasing order of their basic strength in the gaseous phase
(A) \(\mathrm{C}_6 \mathrm{H}_5 \mathrm{NH}_2\)
(B) C\(_6\)\(\mathrm{H}_5CH\)\(_2\)\(\mathrm{NH}_2\)
(C) (CH\(_3\))\(_3\)N
(D) CH\(_3\)\(\mathrm{NH}_2\)
Choose the correct answer from the options given below:

An element has a cubic close packing (ccp) structure with an edge length 297 pm . The density of mass \(=107.9 g / mol\).)
the element is (Given molar mass = \(107.9 g / mol\).)

The half life for radioactive decay of C-14 is 5730 years.
A sample of tree had only 80% of C-14 left.
Estimate the age of the tree.
(log 5 = 0.698) (log 4 = 0.602)

If \(\int_0^a 3 x^2 d x=8\), then the value of \(a\) is:

Read the following paragraph carefully and answer the given questions.
Certain types of leukocytes (WBC) of our body like polymorpho-nuclear leukocytes (PMNL-neutrophils) and monocytes and natural killer (type of lymphocytes) in the blood as well as macrophages in tissues can phagocytose and destroy microbes. For determining the cause of allergy, the patient is exposed to or injected with very small doses of possible allergens, and the reactions studied. The use of drugs like anti-histamine, adrenalin and steroids quickly reduce the symptoms of allergy. Heroin, commonly called smack is chemically _______________ which is a white, odourless, bitter crystalline compound.

Match List I with List II.

List-I	List-II
A. Vitamin C	I. Rickets
B. Vitamin A	II. Beri Beri
C. Vitamin D	III. Scurvy
D. Vitamin \(B _{ 1 }\)	IV. Night blindness

Choose the correct answer from the options given below :

Relation between equilibrium constant and standard potential of the cell under standard conditions is represented by :

Match List - I with List - II

List - I	List - II
(A) The degree of the differential equation \(\left(\frac{d^2 y}{d x^2}\right)^2+\left(\frac{d y}{d x}\right)=x \sin \left(\frac{d y}{d x}\right)\)	(I) 4
(B) The degree of differential equation \(\frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^{1 / 4}+x^{1 / 5}=0\)	(II) 1
(C) The degree of differential equation \(\frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^3+6 y^5=0\)	(III) Not defined
(D) The degree of differential equation \(1+\left(\frac{d y}{d x}\right)^4=7\left(\frac{d^2 y}{d x^2}\right)^3\)	(IV) 3

Choose the correct answer from the options given below: