The partial vapour pressure of an electrolyte at the following concentrations,
decreases in the order
(A) 0.5 M
(B) 0.1 M
(C) 0.05 M
(D) 0.001 M
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Calculate the magnetic moment of a divalent ion in aqueous solution if its atomic number is 27.

The \(\Lambda_m^{\circ}\) for \(CaSO _4\) at 298 K , if \(\lambda_{ Ca ^{+2}}^{\circ}=119.0 Scm ^2 mol^{-1}\) and \(\lambda_{ SO _4^{2-}}^{\circ}=160.0 Scm ^2 mol^{-1}\) will be:

Match List-I with List-II

List-I (Reaction)	List-II (Type of reaction)
(A) Hydrolysis of Ethyl Chloride	(I) Substitution reaction
(B) 2-Propanol is treated with Conc. Sulphuric acid	(II) Addition reaction
(C) Reaction of HCN with Acetone	(III) Degradation reaction
(D) Treatment of acetamide with NaOH and Br2	(IV) Elimination reaction

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Low oxygen concentration in the human body at high altitudes is due to the __________ .

In Cu - Ag electrochemical cell Cu acts as

A solution of \(CuSO_4\) is electrolysed for \(10\ min\) with a current of \(1.5\ A\).
What is the mass of copper deposited at the cathode?
(Molar mass of \(Cu = 63\ g\ mol^{-1}\), \(1F = 96487\ C\))

A small amount of \(CaF_2\) is added in electrolytic reduction of \(Al_2O_3\) in fused cryolite :
A. To decrease the rate of oxidation of carbon at anode
B. To act as catalyst
C. To make fused mixture conducting
D. To lower the fusion temperature of melt
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A random variable X has the following probability distribution :

X	0	1	2	3	4	5	6	7	8
P(X)	a	3a	5a	7a	9a	11a	13a	15a	17a

Then the values of ' \(a\) ' and \(P(0<X<5)\) respectively are :

Electrostatics deals with the study of forces, fields and potential arising from static charges. Which of the following statements are correct ?
(A) Electrostatic force is a conservative force
(B) Charge is quantized because only integral number of electrons can be transferred from one body to the other
(C) In a uniform electric field E , an electric dipole experiences a torque \(\tau\) and a net force F .
(D) The electric field lines start from positive charges and end at negative charges. If there is a single charge, these may start or end at infinity.
(E) If the uniform surface charge density of an infinite plane sheet is positive, the electric field is directed away from the plate.
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The general solution of \(\frac{d y}{d x}=1+x^2+y^2+x^2 y^2\) is:
(given that \(C\) is the constant of integration)

The potential energy of an electron in the first excited state of hydrogen atom is -6.8 eV. The kinetic energy of the electron in its ground state will be :

Match List-I with List-II:

List-I	List-II
(A) Current	(I) Opposition to flow of current
(B) Resistance	(II) Rate of flow of charge
(C) Resistivity	(III) Work done per unit charge
(D) EMF	(IV) Resistance per unit length \( \times \) unit cross sectional area

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