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KVPY Exam Pattern, KVPY Questions with Answers Page 2

(#M40027321) KVPY QUESTION Mental Ability-2010 Keep an EYE

The Crystal Field Stabilization Energy (CPSE) and the spin-only magnetic moment in Bohr Magneton (BM)
for the complex K3[Fe(CN)6] are, respectively-

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(#M40027320) KVPY QUESTION Mental Ability-2010 Keep an EYE

A metal with an atomic radius of 141.4 pm crystallizes in the face centred cubic structure. The volume of the
unit cell in pm is-

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(#M40027319) KVPY QUESTION Mental Ability-2010 Keep an EYE

The solubility product of Mg(OH)2 is 1.0 × 10–12. Concentrated aqueous NaOH solution is added to a 0.01 M
aqueous solution of MgCl2. The pH at which precipitation occur is-
(A) 7.2 (B) 7.8 (C) 8.0 (D) 9.0

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(#M40027318) KVPY QUESTION Mental Ability-2010 Keep an EYE

For the reaction A → B, ΔHº = 7.5 mol–1 and ΔSº = 2.5 J mol–1. The value of ΔGº and the temperature at
which the reaction reaches equilibrium are, respectively,
(A) 0 kJ mol–1 and 400 K (B) –2.5 kJ mol–1 and 400 K
(C) 2.5 kJ mol–1 and 200 K (D) 0 kJ mol–1 and 300 K

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(#M40027317) KVPY QUESTION Mental Ability-2010 Keep an EYE

2.52 g of oxalic acid dehydrate was dissolved in 100 ml of water, 10 mL of this solution was diluted to 500
mL. The normality of the final solution and the amount of oxalic acid (mg/mL) in the solution are
respectively-
(A) 0.16 N, 5.04 (B) 0.08 N, 3.60 (C) 0.04 N, 3.60 (D) 0.02 N, 10.08

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(#M40027316) KVPY QUESTION Mental Ability-2010 Keep an EYE

At time t = 0, a container has N0 radioactive atoms with a decay constant λ. In addition, c numbers of atoms
of the same type are being added to the container per unit time. How many atoms of this type are there at
t = T

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(#M40027315) KVPY QUESTION Mental Ability-2010 Keep an EYE

Two identical particles of mass 'm' and charge q are shot at each other from a very great distance with an
initial speed v. The distance of closest approach of these charges is

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(#M40027314) KVPY QUESTION Mental Ability-2010 Keep an EYE

An ideal gas with heat capacity at constant volume CV undergoes a quasistatic process described by PVα in a
P-V diagram, where α is a constant. The heat capacity of the gas during this process is given by-

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(#M40027313) KVPY QUESTION Mental Ability-2010 Keep an EYE

A particle of mass m undergoes oscillations about x = 0 in a potential given by V(x) =
2
1 kx2 – V0cos 




a
x ,
where V0, k, a are constants. If the amplitude of oscillation is much smaller than a, the time period is given
by-

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(#M40027312) KVPY QUESTION Mental Ability-2010 Keep an EYE

A narrow parallel beam of light falls on a glass sphere of radius R and refractive index μ at normal incidence.
The distance of the image from the outer edge is given by

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