Rusting occurs in the presence of water and air.

Rate of a reaction changes from \(2.48 \times 10^{-3}\text{ mol}^{-1}\text{ sec}^{-1}\) to \(4.96 \times 10^{-3}\text{ mol}^{-1}\text{ sec}^{-1}\) when concentration of reactant, is changed from \(0.6\text{ M}\) to \(2.4\text{ M}\) respectively, the order of reaction is :

Read the Passage carefully and answer the Questions
Kinetic studies not only help us to determine the rate of a chemical reaction but also describe the conditions by which the reaction rates can be altered. The factors such as concentration, temperature, pressure and catalyst affect the rate of a reaction.
The speed of a reaction or the rate of a reaction can be defined as the change in concentration of a reactant or product in unit time.
Rate \(=k[A]^{\text {a }}[B]^{\text {y }}\)
Here \(k\) is the rate constant
\(x+y\) gives the overall order of a reaction, whereas \(x\) and \(y\) repreeent the order with respect to the reactants \(A\) and \(B\), respectively.
Table: Initial rate of formation of NO 2

S No.	Initial [NO]/mol L-1	Initial [O2]/mol L-1	Initial rate of formation of NO2/mol L-1s-1
1.	0.30	0.3	0.096
2.	0.60	0.3	0.384
3.	0.30	0.6	0.192
4.	0.60	0.6	0.768

Insulin keeps glucose level within the narrow limit. It is released in response to the rapid rise in blood glucose level. The hormone that tends to increase glucose level in the blood is :

Which of the following compounds can be prepared by Sandmeyer's reaction?
(A) Chlorobenzene
(B) Bromobenzene
(C) Cyanobenzene
(D) Fluorobenzene
Choose the correct answer from the options given below:

Arrange the following transition metal ions in the increasing order of unpaired electrons.
(A) \(Cu ^{2+}\)
(B) \(Cr ^{2+}\)
(C) \(Ni ^{2+}\)
(D) \(Sc ^{3+}\)
Choose the correct answer from the options given below:

Answer the question on the basis of passage given below :
For the transition elements
Sc \(\quad\) Ti \(\quad\) V \(\quad\) Cr \(\quad\) Mn\(\quad\) Fe \(\quad\) Co \(\quad\) Ni \(\quad\) Cu \(\quad\) Zn
Atomic numbers :
21 \(\quad\) 22 \(\quad\) 23 \(\quad\) 24 \(\quad\) 25 \(\quad\) 26 \(\quad\) 27 \(\quad\) 28 \(\quad\) 29 \(\quad\) 30 \(\quad\)
Which transition element has large enthalpy of atomization \(\Delta H_a^{\circ} \text{ (kJ mol}^{-1}\))?

If A and B are invertible matrices of order 3 then match List-I with List-II

List-I	List-II
(A) adj(A)	(I) \(B^{-1} A^{-1}\)
(B) \((A B)^{-1}\)	(II) \(|A|^{-1}\)
(C) \(\left|A^{-1}\right|\)	(III) \(|A|^2\)
(D) \(|\operatorname{adj} A|\)	(IV) \(|A| A^{-1}\)

Choose the correct answer from the options given below:

If \(\vec{a}=4 \hat{i}-2 \hat{j}+5 \hat{k}\) and \(\vec{b}=\hat{i}-2 \hat{j}-2 \hat{k}\) represent, both in magnitude and direction, two adjacent sides of a parallelogram, then a unit vector parallel to the diagonal, which is coinitial with \(\vec{a}\) and \(\vec{b}\), is :

Consider the differential equation \(\frac{d y}{d x}+y \tan x=\sec x\), then which of the following statements are correct?
(A) It is homogeneous
(B) It has \(\sec x\) as its integrating factor
(C) Its general solution is \(y \sec x=\tan x+c\), where \(c\) is an arbitrary constant.
(D) Its degree is not defined
Choose the correct answer from the options given below :

For a manufacturer, total cost function is given by \(C=\frac{x^2}{25}+2 x\). Which of the following are correct ?
A. 2.6 is the marginal cost when 5 units are produced.
B. \(\frac{2 x}{25}+2\) is the marginal cost function.
C. \(\frac{x}{25}+2\) is the average cost function.
D. 2.4 is the marginal cost when 5 units are produced.
E. \(\frac{x}{25}+1\) is the average cost function.
Choose the correct answer from the options given below:

If focal length of a concave lens is 50 cm, then the power of the lens would be

When two independent small samples of sizes \(n_1\) and \(n_2\) with means \(\bar{x}_1\) and \(\bar{x}_2\) respectively are drawn from populations with identical population variances, the test-statistic is computed as :