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Frequently Asked KVPY Exam Pattern, KVPY Questions with Answers Page 31

(#M40027059) KVPY QUESTION Mental Ability Keep an EYE

Upon mixing equal volumes of aqueous solutions of 0.1 M HCl and 0.2 M H2SO4, the concentration of H+ in the resulting solution is
option
(A) 0.30 mol/L
(B) 0.25 mol/L
(C) 0.15 mol/L
(D) 0.10 mol/L

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(#M40027057) KVPY QUESTION Mental Ability Keep an EYE

A firecracker is thrown with velocity of 30 ms1 in a direction which makes an angle of 75 degree with the vertical axis. At some point on its trajectory, the firecracker splits into two identical pieces in such a way that one piece fall 27 m far from the shooting point. Assuming that all trajectories are contained in the same plane, how far will the other
piece fall from the shooting point ? (Take g = 10 ms2 and neglect air resistance)
option
(A) 63 m or 144 m
(B) 72 m or 9 m
(C) 28 m or 72 m
(D) 63 m or 117 m

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(#M40027053) KVPY QUESTION Mental Ability Keep an EYE

Let a, b, c be positive integers such that
b^2 c
a^2 b
+
+ is a rational number,
then which of the following is always an integer

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(#M40027051) KVPY QUESTION General Ability Test Keep an EYE

Which statements about the Rutherford model of the atom is NOT true ?
(A) There is a positively charged center in an atom called the nucleus
(B) Nearly all the mass of an atom resides in the nucleus
(C) Size of the nucleus is completely to the atom
(D) Electrons occupy the space surrounding the nucleus

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(#M40027049) KVPY QUESTION General Ability Test Keep an EYE

A girl holds a book of mass m against a vertical wall with a horizontal force F using her finger so that the book does not move. The frictional force on the book by the wall is
option
(A) F and along the finger but pointing towards the girl
(B) F upwards where is the coefficient of static friction
(C) mg and upwards
(D) Equal and opposite to the resultant of F and mg

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(#M40027048) KVPY QUESTION General Ability Test Keep an EYE

A circular metallic ring of radius R has a small gap of width d. The coefficient of thermal expansion of the metal is d in appropriate units. If we increase the temperature of the ring by a amount T, then width of the gap
(A) Will increases by an amount dT
(B) Will not change
(C) Will increases by an amojnt (2R d) T
(D) Will decrease by an amount dT

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(#M40027047) KVPY QUESTION General Ability Test Keep an EYE

A convex lens of focal length 15 cm is placed in front of a plane mirror at a distance 25 cm from the mirror. Where
on the optical axis and from the centre of the lens should a small object be placed such that the final image
coincides with the object ?
(A) 15 cm and on the opposite side of the mirror
(B) 15 cm and between the mirror and the lens
(C) 7.5 cm and on the opposite side of the mirror
(D) 7.5 cm and between the mirror and the lens

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(#M40027044) KVPY QUESTION General Ability Test Keep an EYE

Which of the following statements is true about the flow of electrons in an electric circuit ?
(A) Electrons always flow from lower to higher potential
(B) Electrons always flow from higher to lower potential
(C) Electrons flow from lower to higher potential except through power sources
(D) Electrons flow from higher to lower potential, except through power sources

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(#M40027042) KVPY QUESTION Mental Ability Keep an EYE

A clay ball of mass m and speed v strikes another metal ball. of same mass m, which is at rest. They stick together after collision. The kinetic energy of the system after collision is

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(#M40027040) KVPY QUESTION Mental Ability Keep an EYE

How many ordered pairs of (m, n) integers satisfy ?
m/12=12/n

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