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KVPY Exam Pattern, KVPY Questions with Answers Page 34

(#M40026990) KVPY QUESTION General Ability Test Keep an EYE

The ratio of the speed of sound to the average speed of an air molecule at 300 K and 1 atmospheric pressure is
close to

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(#M40026989) KVPY QUESTION General Ability Test Keep an EYE

A steady current I flows through a wire of radius r, length L and resistivity ρ. The current produced heat in the
wire. The rate of heat loss in a wire is proportional to its surface area. The steady temperature of the wire is
independent of–
(A) L (B) r (C) I (D) ρ

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(#M40026988) KVPY QUESTION General Ability Test Keep an EYE

A loop carrying current I has the shape of a regular polygon of n sides. If R is the distance from the centre to any
vertex, then the magnitude of the magnetic induction vector B
􀁇
at the centre of the loop is

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(#M40026987) KVPY QUESTION General Ability Test Keep an EYE

Seven identical coins are rigidly arranged on a flat table in the pattern shown below so that each coin touches its
neighbors. Each coin is a thin disc of mass m and radius r. Note that the moment of inertia of an individual coin
about an axis passing through centre and perpendicular to the plane of the coin is mr2 / 2
The moment of inertia of the system of seven coins about an axis that passes through the point P (the centre of the
coin positioned directly to the right of the central coin) and perpendicular to the plane of the coins is–

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(#M40026986) KVPY QUESTION General Ability Test Keep an EYE

A liquid drop placed on a horizontal plane has a near spherical shape (slightly flattened due to gravity). Let R be
the radius of its largest horizontal section. A small disturbance causes the drop to vibrate with frequency v about
its equilibrium shape. By dimensional analysis the ratio
3
v
σ / ρR
can be (Here σ is surface tension, ρ is density,
g is acceleration due to gravity, and k is arbitrary dimensionless constant)

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(#M40026985) KVPY QUESTION General Ability Test Keep an EYE

The capacitor of capacitance C in the circuit shown in fully charged initially. Resistance is R.–

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(#M40026984) KVPY QUESTION General Ability Test Keep an EYE

An ideal monatomic gas expands to twice its volume. If the process is isothermal, the magnitude of work done by
the gas is W1. If the process is adiabatic, the magnitude of work done by the gas is Wa . Which of the following is
true ?
(A) Wi = Wa > 0 (B) Wi > Wa = 0 (C) Wi >Wa > 0 (D) Wi > Wa > 0

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(#M40026983) KVPY QUESTION Mental Ability Keep an EYE

Let S = {1, 2, 3, …..,n} and A = {(a, b) |1< a, b < n} = S x S. A subset B of A is said to be a good subset if
(x, x) ∈ B for every x ∈ S. Then the number of good subsets of A is

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(#M40026982) KVPY QUESTION Mental Ability Keep an EYE

Suppose a1, a2, a3, …….,a2012 are integers arranged on a circle. Each number is equal to the average of its two
adjacent numbers. If the sum of all even indexed numbers is 3018, what is the sum of all numbers ?
(A) 0 (B) 1509 (C) 3018 (D) 6036

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(#M40026981) KVPY QUESTION Mental Ability Keep an EYE

The number of ordered pairs (m, n), where m, n ∈{1, 2, 3, …… ,50}, such that 6^m + 9^n is a multiple of 5 is –
(A) 1250 (B) 2500 (C) 625 (D) 500

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