\(^{70}Yb^{2+}\) and \(^{71}Lu^{3+}\) Lanthanoid ions are..........

Match List-I with List-II with their boiling points

LIST – I (Compound name)	LIST – II (Boiling point)
(A) \(CH _3 CH _2 OH\)	(I) 373K
(B) \(CH _3 OCH _3\)	(II) 348K
(C) \(H _2 O\)	(III) 351K
(D) \(CH _3 CH _2 OCH _2 CH _3\)	(IV) 248K

Choose the correct answer from the options given below:

How much charge is required for the reduction of 0.05 moles of \(MnO _4^{-}\) to \(MnO _2\)?

How many C \(\text{mol}^{-1}\) are required to convert 1 mol of \(\text{MnO}_4^-\) to \(\text{Mn}^{2+}\)?
[1F = 96500 C]

Which of the following postulates of Werner theory is incorrect?

Arrange the following electrodes in decreasing order of the strength of the respective ions as reducing agent.
(A) \(Cu ^{2+}+2 e^{-} \rightarrow Cu ( s ) \quad E^{\circ}=0.34 V\)
(B) \(Sn ^{2+}+2 e^{-} \rightarrow Sn (s) \quad E^{\circ}=-0.14 V\)
(C) \(AgBr (s)+e^{-} \rightarrow Ag (s)+ Br ^{-} \quad E^{\circ}=0.10 V\)
(D) \(Pb ^{2+}+2 e^{-} \rightarrow Pb (s) \quad E^{\circ}=-0.13 V\)
Choose the correct answer from the options given below:

What is the total number of structural isomers possible for the compound with molecular formula \(C _4 H _9 Br\)?

Match List-I with List-II

List-I (Differential Equations)	List-II (Order and degree)
(A) \(\frac{d y}{d x}+e^y=0\)	(I) order 2, degree not defined
(B) \(\frac{d^2 y}{d x^2}=\left[1+\left(\frac{d y}{d x}\right)^2\right]^{3 / 2]}\)	(II) order 2, degree 1
(C) \(\left(\frac{d^2 y}{d x^2}\right)^2+e^{\left(\frac{\text { 临 })}{}\right.}=0\)	(III) order 1, degree 1
(D) \(\frac{d^2 y}{d x^2}+x \frac{d y}{d x}-2 y=\log x ; x>0\)	(IV) order 2, degree 2

Choose the correct answer from the options given below:

Observe the illustration and answer the following question:



Match List I with List II.

LIST I	LIST II
A. Spermatozoa	I. Embedding of sperms
B. Primary spermatocyte	II. Androgen secretion
C. Leydig cells	III. Male gamete
D. Sertoli cells	IV. Diploid cell

Choose the correct option from the ones given below:

Read the Passage carefully and answer the the questions
Insulin consists of two short polypeptide chains : chain A and chain B, that are linked together by disulphide bridges. The first clinical gene therapy was given in 1990 to a 4-year old girl with adenosine deaminase (ADA) deficiency. This enzyme is crucial for the immune system to function. Recombinant DNA technology, Polymerase Chain Reaction (PCR) and Enzyme Linked Immuno-sorbent Assay (ELISA) are some of the techniques that serve the purpose of early diagnosis of diseases. Transgenic animals that produce useful biological products can be created by the introduction of the portion of DNA (or genes) which codes for a particular product such as human protein (α-1-antitrypsin) used to treat emphysema. Biopiracy is the term used to refer to the use of bio-resources by multinational companies and other organisations without proper authorisation from the countries and people concerned without compensatory payment.
Insulin has 2 polypeptide chains linked together by _______ bridges.

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 \(=k[A]^x[B]^y\)
Here \(k\) is the rate constant
\(x+y\) gives the overall order of a reaction, whereas \(x\) and \(y\) represent the order with respect to the reactants \(A\) and \(B\), respectively.
The unit of rate constant for first order reaction is

The particular solution of the differential equation \(\frac{d y}{d x}=e^{x^2 / 2}+x y\), when \(x = 0\), \(y = 1\) is

Choose the correct statement(s) from the following:
(A) With increasing reverse bias voltage, the barrier potential across the junction of p-n diode decreases.
(B) A p-type semiconductor can be obtained by doping Si or Ge with trivalent atoms.
(C) A rectifier rectifies dc voltages.
(D) Pure semiconductors are called extrinsic semiconductors.
Choose the correct answer from the options given below: