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Frequently Asked IIT-JEE Latest Exam Pattern - IIT-JEE Sample Question with Solutions Page 32

(#M40027970) IIT-JEE QUESTION 2012 question Keep an EYE

What is the maximum energy of the anti-neutrino ?

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(#M40027969) IIT-JEE QUESTION 2012 question Keep an EYE

Two moles of ideal helium gas are in a rubber balloon at 30° C .The balloon is fully expandable and can be assumed to require no energy in its expansion. The temperature of the gas in the balloon is slowly changed to 35°C.The amount of heat required in raising the temperature is nearly (take R = 8.31 J/mol.K)
option
(A) 62J
(B) 104 J
(C) 124 J
(D) 208 J

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(#M40027968) IIT-JEE QUESTION 2012 question Keep an EYE

A student is performing the experiment of Resonance Column. The diameter of the column tube is 4cm . The distance frequency of the tuning for k is 512 Hz. The air temperature is 38°C in which the speed of sound is 336 m/s. The zero of the meter scale coincides with the top and of the Resonance column. When first resonance occurs, the reading of the water level in the column is
option
(A) 14.0
(B) 15.2
(C) 16.4
(D) 17.6

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(#M40027966) IIT-JEE QUESTION 2012 question Keep an EYE

A loop carrying current I lies in the x-y plane..unit vector k ˆ is coming out of the
plane of the paper. the magnetic moment of the current loop is :

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(#M40027965) IIT-JEE QUESTION 2012 question Keep an EYE

Let f : R  R be defined as f(x) = |x| + |x^2 –-1|. The total number of points at which f attains either a local
maximum or a local minimum is

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(#M40027964) IIT-JEE QUESTION 2012 question Keep an EYE

Let p(x) be a real polynomial of least degree which has a local maximum at x = 1 and a local minimum at
x = 3. If p(1) = 6 p(3) = 2 , then p(0) is

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(#M40027963) IIT-JEE QUESTION 2012 question Keep an EYE

Let S be the focus of the parabola y2 = 8x and let PQ be the common chord of the circle
x^2 + y^2-– 2x –-4y = 0 and the given parabola. The area of the triangle PQS is.

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(#M40027962) IIT-JEE QUESTION 2012 question Keep an EYE

Tangents are drawn to the hyperbola x^@/9 - y^2/4 = 1 , parallel to the straight line 2x –-y = 1. The points of contactss
of the tangents on the hyperbola are

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(#M40027961) IIT-JEE QUESTION 2012 question Keep an EYE

If S be the area of the region enclosed by y = e^(-x^2) , y = 0, x = 0, and x = 1. Then
find s

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(#M40027959) IIT-JEE QUESTION 2012 question Keep an EYE

If y(x) satisfies the differential equation y – y tan x = 2x sec x and y(0), then

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