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Frequently Asked IIT-JEE Latest Exam Pattern - IIT-JEE Sample Question with Solutions Page 31

(#M40027991) IIT-JEE QUESTION 2012 question Keep an EYE

G=1-SINX^3

Which of the following is true ?
(A) g is increasing on (1, )
(B) g is decreasing on (1, )
(C) g is increasing on (1, 2) and decreasing on (2, )
(D) g is decreasing on (1, 2) and increasing on (2, )

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(#M40027989) IIT-JEE QUESTION 2012 question Keep an EYE

Four fair dice D1, D2, D3 and D4 each having six faces numbered 1,2,3,4,5 and 6 are rolled simultaneously. The probability that D4 shows a number appearing on one of D1, D2 and D

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(#M40027988) IIT-JEE QUESTION 2012 question Keep an EYE

With respect to graphite and diamond, which of the statement(s) given below is (are) correct ?
(A) Graphite is harder than diamond.
(B) Graphite has higher electrical conductivity than diamond
(C) Graphite has higher thermal conductivity than diamond
(D) Graphite has higher C–C bond order than diamond

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(#M40027981) IIT-JEE QUESTION 2012 question Keep an EYE

The shape of XeOF molecule is
option
(A) trigonal bipyramidal
(B) square plannar
(C) tetrahedral
(D) see-saw

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(#M40027980) IIT-JEE QUESTION 2012 question Keep an EYE

The shape of XeO2F2molecule is
option
(A) trigonal bipyramidal
(B) square plannar
(C) tetrahedral
(D) see-saw

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(#M40027976) IIT-JEE QUESTION 2012 question Keep an EYE

Two spherical planets P andQ have the same unfirom density ,massesMP andMQ, an surface areas A and 4A, respectively. A spherical planet R also has unfirom density and its mass is (MP + MQ) . The escape velocities from the planets P, Q and R, are VP, VQ and V respectivley. Then
option
(A) VQ > VR > VP
(B) VR > VQ > VP
(C) VR/VP = 3
(D) VP /VQ =1/2

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(#M40027974) IIT-JEE QUESTION 2012 question Keep an EYE

Two solid cylinders P andQ of samemass and same radius start rolling down a fixed inclined plane form the
same height at the same time. Cylinder P has most of its mass concentrated near its surface, while Q has
most of its mass concentrated near the axis. Which statement (s) is (are) correct?
(A) Both cylinders P and Q reach the ground at the same time
(B) Cylinder P has larger linear acceleration than cylinder Q.
(C) Both cylinder Q reaches the ground with same translational kinetic energy.
(D) Cylinder Q reaches the ground with larger angular speed

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(#M40027973) IIT-JEE QUESTION 2012 question Keep an EYE

Which of the following statements about the instantaneous axis (passing through the centre of mass) is
correct?
(A) It is vertical for both the cases (a) and (b).
(B) It is verticle for case (a); and is at 45° to the x-z plane and lies in the plane of the disc for case (b)
(C) It is horizontal ofr case (a); and is at 45° to the x - z plane and is normal to the plane of the disc for case
(b).
(D) It is vertical of case (a); and is at 45° to the x - z plane and is normal to the plane of the disc for case (b).

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(#M40027972) IIT-JEE QUESTION 2012 question Keep an EYE

Choose the correct statement.
(A) The speed of light in the meta-material is v = c|n|
(B) The speed of light in the meta-material is v = | n |
c
(C) The speed of light in the meta-material is v = c.
(D) The wavelength of the light in the meta-material (m) is given by m = air |n|, where air is the wavelength

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(#M40027971) IIT-JEE QUESTION 2012 question Keep an EYE

If the anti-neutrino had amass of 3eV/c2 (where c is the speed of light) instead of zeromass, what should be
the range of the kinetic energy, K, of the electron ?

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