Which one of the following ions is paramagnetic in nature?

Which of the following compounds will give Fehling's solution test?
(A) \(CH _3 CHO\)
(B) \(C _6 H _5 CHO\)
(C) \(CH _3 CH _2 CHO\)
(D) HCHO

Which of the following statements, for the reaction of type \(A \rightarrow B\), are correct?
(A) The initial rates for a second order reaction depend on the square of the concentration of the reactant
(B) The half-life is the time for half of the reactant to be consumed
(C) The expression for rate of second order reaction is \(r = k[2A]^2\)
(D) The half-life of a second-order reaction depends on the initial concentration
Choose the correct answer from the options given below:

Match the complexes given in List-I with the number of unpaired electrons given in List-II

List-I (Complexes)	List-II (No. Of unpaired electrons.)
(A) \(\left[ Ti \left( H _2 O \right)_6\right]^{3+}\)	(I) 1
(B) \(\left[ NiF _6\right]^{4-}\)	(II) 5
(C) \(\left[ Fe ( CN )_6\right]^{4-}\)	(III) 2
(D) \(\left[ MnF _6\right]^{4-}\)	(IV) 0

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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 ion \(\text{M}^{3+}\) has electronic configuration \(3d^5 4s^0\)?

Read the passage carefully and answer the questions
Alcohols and phenols are formed when a hydrogen atom in a hydrocarbon, aliphatic and aromatic respectively is replaced by -OH group. These are further classified on the basis of number of hydroxy groups and according to the hybridization of the carbon atom \(sp ^2\) or \(sp ^3\) to which the -OH group is attached. They find applications in industry as well as in day-to-day life. One of the most commercially obtained alcohol also known as wood spirit is obtained by destructive distillation of wood. Both alcohols and phenols are acidic in nature. The acidity of alcohols and phenols vary according to the nature of substituent(s) attached to them. Alcohols and phenols react with carboxylic acids, acid chlorides and acid anhydrides to form esters. Introduction of acetyl group in alcohols and phenols is called acetylation. Phenol undergo electrophilic aromatic substitution reaction because the -OH activates the benzene ring. It undergoes nitration, halogenation and sulphonation reactions.
When phenol is treated with concentrated sulphuric acid, then it gets converted into phenol-2,4-disulphonic acid \(( X )\). On further treatment of X with conc. nitric acid, product Y is formed. Identify Y .

What kind of behavior is shown in the Zwitter ionic form of amino acids?

Arrange the following elements in decreasing order of their radii:
(A) La
(B) Pr
(C) Gd
(D) Yb
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An electron is moving at a velocity of \( 3.2 \times 10^{7} \text{ m/s} \) in a magnetic field along a circular path of radius 20 cm. The magnitude of the magnetic field applied is (approximately)

For the reaction, \(R \rightarrow P\), the \(\log \left([ R ]_0 /[ R ]\right)\) verses time \(( t )\) plot is given below. What is the order of reaction and what are the units of rate constant ? 

The integrating factor of the differential equation \(\frac{d y}{d x}+y \cot x=2 x+x^2 \cot x, x \neq 0\) is

The ratio of total energy to the kinetic energy of an electron in a Bohr orbit of the hydrogen atom is

Fuel cell involves __________.