\(2 A+B \rightarrow A_2 B\)
For the above reaction, the rate law equation is, rate \(=k[A][ B ]^2\) with \(k=2.0 \times 10^{-6} mol^{-2} L^2 s^{-1}\). If the initial concentrations of \(A\) and \(B\) were \(0.1 mol L ^{-1}\) and \(0.2 mol L ^{-1}\), respectively, the rate of reaction after \([A]\) is reduced to 0.06 \(mol L ^{-1}\) will be

Decide which of the following atomic numbers are the atomic numbers of the inner transition elements
(A) 59
(B) 95
(C) 102
(D) 74
Choose the correct answer from the options given below:

Internal acid base reaction of amino acids is due to formation of:

Identify the carbohydrate which is not a polysaccharide

According to the Raoult's law, vapour pressure of a solution is directly proportional to:

Identify the incorrect statement about glucose.

Read the passage carefully and answer
The crystal field theory (CFT) is an electrostatic model which considers the metal-ligand bond to be ionic arising purely from electrostatic interactions between the metal ion and the ligand. Ligands are treated as point charges in case of anions or dipoles in case of neutral molecules. The five d orbitals in an isolated gaseous metal atom/ion have same energy, i.e., they are degenerate. This degeneracy is maintained if a spherically symmetrical field of negative charges surrounds the metal atom/ion. However, when this negative field is due to ligands (either anions or the negative ends of dipolar molecules like NH3 and H2O) in a complex, it becomes asymmetrical and the degeneracy of the d orbitals is lifted. It results in splitting of the d orbitals. The pattern of splitting depends upon the nature of the crystal field.
If the fourth electron in d subshell enters one of the eg orbitals in octahedral complexes, it indicates that

What will be the ratio of radii of two nuclei having their mass numbers in the ratio of 64:125?

If \(y =\sin ^{-1} x\), then

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 one of the following option is correct about restriction enzyme?

In humans, the fertilization takes place at -

The relation R on the set of real numbers defined by \(R=\left\{(a, b): a \leq b^2\right\}\) is
(A) Reflexive
(B) Not symmetric
(C) Neither reflexive nor transitive
(D) Transitive
Choose the correct answer from the options given below:

Let us suppose that two independent random samples of sizes \(n_1\) and \(n_2\) have been drawn from the same normal population.
Then the degree of freedom of the statistic \(t\)-distribution is