\([NiCl_2(PPh_3)_2]\) is named as:

Arrange the following compounds towards increasing \(S_{N}2\) reaction?
(A) n-Butyl bromide
(B) Isobutyl bromide
(C) Tertiary butyl bromide
(D) Sec-Butyl bromide
Choose the correct answer from the options given below:

Presence of nitrate ions can be detected by adding freshly prepared \(\text{FeSO}_4\) solution. Then concentrated \(\text{H}_2\text{SO}_4\) is added along the walls of the test tube.
A brown ring is formed at the interface having the formula \([\text{Fe(H}_2\text{O)}_5\text{(NO)}]^{2+}\.
The oxidation state of Fe in this complex is

Identify the product 'X' in the following reaction:
\(C_2H_5COONa\ \xrightarrow[\text{Heat}]{NaOH+CaO}\ X+ Na_2CO_3\)

The quantity of electricity produced in the oxidation of 67.2 L of \(H 2\) at STP is:

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 :

In amines, the nitrogen atom is A and B hybridised, making geometry of amines as C. Then A, B and C respectively are:

Which of the following statements are correct in reference to the linear programming problem (LPP):
Maximize \(Z =5 x +2 y, Z =5 x +2 y, Z =5 x +2 y\)
subject to the following constraints
\(3 x+5 y \leq 15,5 x+2 y \leq 10, x \geq 0, y \geq 0\)
(A) The LPP has a unique optimal solution at \((2,0)\) only.
(B) The feasible region is bounded with corner points \((0,0),(2,0),(20 / 19,45 / 19)\) and \((0,3)\).
(C) The optimal value is unique, but there are an infinite number of optimal solutions.
(D) The feasible region is unbounded.
Choose the correct answer from the options given below:

The shortest distance between the lines \(\vec{r}_1=\hat{i}+\hat{j}+\lambda(2 \hat{i}-\hat{j}+\hat{k})\) and \(\vec{r}_2=2 \hat{i}+\hat{j}-\hat{k}+\mu(4 \hat{i}-2 \hat{j}+2 \hat{k})\) is :

Read the following passage carefully.
Restriction enzyme
Restriction enzymes cut the strand of DNA a little away from the center of the palindrome sites, but between the same two bases on the opposite strands. This leaves single stranded portions at the ends. There are overhanging stretches called sticky ends on each strand. These are named so because they form hydrogen bonds with their complementary cut counterparts. This stickiness of the ends facilitates the action of the enzyme DNA ligase. The word palindromes refer to group of letters that forms the same words when read both forward and backward. Restriction endonucleases are used in genetic engineering as molecular scissors.
Which bond forms on sticky end of each strand?

An electron placed in a magnetic field of \( 3.14 \times 10^{-4} \, \text{T} \) moves in a circle. The frequency of the revolution of the electron is:

For the function \(f(x)=e^x+e^{-x}\)
(A) \(f^{\prime}(x)=e^x-e^{-x}\)
(B) The critical point is \(x=0\)
(C) The minimum value is 1
(D) \(x=0\) is the point of local minimum.
Choose the correct answer from the options given below:

Gauss theorem states that \( \oint \vec{E} \cdot d\vec{s} = 0 \). It means that