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Frequently Asked IIT-JEE Latest Exam Pattern - IIT-JEE Sample Question with Solutions Page 36

(#M40027893) IIT-JEE QUESTION 2010 question Keep an EYE

If the total energy of the particle is E, it will perform periodic motion only if
(A) E < 0 (B) E > 0
(C) V0 > E > 0 (D) E > V0.

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(#M40027892) IIT-JEE QUESTION 2010 question Keep an EYE

A student uses a simple pendulum of exactly 1 m length to determine g, the acceleration due to gravity. He
uses a stop watch with the least count of 1 second fore this and records 40 seconds for 20 oscillations. For
this observation, which of the following statement(s) is (are) true ?
(A) error ΔT in measuring T, the time period, is 0.05 seconds
(B) error ΔT in measuring T, the time period, is 1 second
(C) percentage error in the determination of g is 5%
(D) percentage error in the determination of g is 2.5%.

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(#M40027890) IIT-JEE QUESTION 2010 question Keep an EYE

A ray OP of monochromatic light is incident on the face AB of prism ABCD
near vertex B at an incident angle of 60º...If the refractive index of
the material of the prism is sqrt(3) , which of the following is (are) correct ?
(A) the ray gets totally internally reflected at face CD
(B) the ray comes out through face AD
(C) the angle between the incident ray and the emergent ray is 90º
(D) the angle between the incident ray and the emergent ray is 120º.

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(#M40027889) IIT-JEE QUESTION 2010 question Keep an EYE

A few electric field lines for a system of two charges Q1 and Q2 fixed
at two different points on the x–axis..These
lines suggest that
(A) |Q1| > |Q2|
(B) |Q1| < |Q2|
(C) at a finite distance to the left of Q1 the electric field is zero
(D) at a finite distance to the right of Q2 the electric field is zero.

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(#M40027888) IIT-JEE QUESTION 2010 question Keep an EYE

A point mass of 1 kg collides elastically with a stationary point mass of 5 kg. After their collision, the 1 kg
mass reverses its direction and moves with a speed of 2 ms–1. Which of the following statement(s) is (are)
correct for the system of these two masses ?
(A) total momentum of the system is 3 kg ms–1
(B) momentum of 5 kg mass after collision is 4 kg ms–1
(C) kinetic energy of the center of mass is 0.75 J
(D) total kinetic energy of the system is 4 J.

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(#M40027882) IIT-JEE QUESTION 2010 question Keep an EYE

A thin flexible wire of length L is connected to two adjacent fixed
points and carries a current I in the clockwise direction, as shown in
the figure. When the system is put in a uniform magnetic field of
strength B going into the plane of the paper, the wire takes the shape
of a circle. The tension in the wire is

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(#M40027881) IIT-JEE QUESTION 2010 question Keep an EYE

An AC voltage source of variable angular frequency ω and fixed amplitude V0 is connected in series with a
capacitance C and an electric bulb of resistance R (inductance zero). When ω is increased
(A) the bulb glows dimmer (B) the bulb glows brighter
(C) total impedance of the circuit is unchanged (D) total impedance of the circuit increases.

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(#M40027880) IIT-JEE QUESTION 2010 question Keep an EYE

Let f be a real–valued differentiable function on R (the set of all real numbers) such that f(1) = 1. If the y–
intercept of the tangent at any point P(x, y) on the curve y = f(x) is equal to the cube of the abscissa of P,
then the value of f(–3) is equal to

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(#M40027879) IIT-JEE QUESTION 2010 question Keep an EYE

The line 2x + y = 1 is tangent to the hyperbola x^2/a^2 - y^2/b^2 = 1 If this line passes through the point of
intersection of the nearest directrix and the x–axis, then the eccentricity of the hyperbola is

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(#M40027875) IIT-JEE QUESTION 2010 question Keep an EYE

The number of A in Tp such that A is either symmetric or skew–symmetric or both, and det(A) divisible by
p is

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