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AIEEE Latest Exam Pattern - AIEEE Sample Question with Solutions Page 10

(#M40027651) AIEEE QUESTION Mental Ability Keep an EYE

A block is placed on a surface with vertical cross
section given by the equation y = 20
x2
. If the
coefficient of friction is 0.5, the maximum height
above the ground at which a block can be placed
without slipping is (Bottom most point of surface
is taken as origin and on ground) -
(A) 1.00 m (B) 1.25 m
(C) 1.50 m (D) 1.90 m

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(#M40027650) AIEEE QUESTION Mental Ability Keep an EYE

In a compound microscope, the intermediate image
is :
(A) virtual, erect and magnified
(B) real, erect and magnified
(C) real, inverted and magnified
(D) virtual, erect and reduced

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(#M40027649) AIEEE QUESTION Mental Ability Keep an EYE

A cavity of the shape of equiconvex lens is cut in
a slab of refractive index µ. It is filled with
different liquids of refractive indices µ1 and µ2 so
that if once it behave as convergent lens with
liquid of refractive index µ1, it behaves as
divergent lens with another liquid of same focal
length. Find µ2

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(#M40027648) AIEEE QUESTION Mental Ability Keep an EYE

The distance between object and its erect but
diminished image formed due to a spherical
mirror is 3 times the distance between image and
the focus while distance between object and focus
is 2u. If the image is half in size of the object, find
the distance of the object from the mirror

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(#M40027647) AIEEE QUESTION Mental Ability Keep an EYE

In Young's double-slit experiment, the intensity
of light in front of one of the slits on a screen is
I0/2 where I0 is the maximum intensity. The
distance between the slits is 5λ where λ is the
wavelength of monochromatic light. How far
away is the screen from the slit ?
(A) 20 λ (B) 25 λ (C) 40 λ (D) 50 λ

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(#M40027646) AIEEE QUESTION Mental Ability Keep an EYE

Imagine an atom made up of proton and a
hypothetical particle of double the mass of the
electron but having the same charge as the
electron. Apply the Bohr atom model and consider
all possible transitions of this hypothetical particle
of the first excited level. The longest wavelength
photon that will be emitted has wavelength λ (in
terms of the Rydberg constant R for hydrogen
atom) equal to :
(A) 9/5R (B) 36/5R (C) 18/5R (D) 4/R

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(#M40027645) AIEEE QUESTION Mental Ability Keep an EYE

A bead of mass 'm' is attached to one end of a
spring of natural length R and spring constant
k =
R
( 3 +1)mg . The other end of the spring is
fixed at point A on a smooth vertical ring of
radius R as shown. The normal reaction at B just
after it is released to move is

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(#M40027644) AIEEE QUESTION Mental Ability Keep an EYE

the switch S is initially
open, and the capacitor C is charged with the
polarity indicated. The switch is then closed, and
the capacitor begins discharging through the
resistor. Which of the following is true of the
current that is subsequently induced in the circular
wire loop near the long, straight wire AB ?
(A) It is counterclockwise and increases with time
(B) It is counterclockwise and decreases with time
(C) It is clockwise and increases with time
(D) It is clockwise and decreases with time

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(#M40027643) AIEEE QUESTION Mental Ability Keep an EYE

Two concentric metal spheres X and Y
X carries a positive charge, and Y
is connected to ground. True statements include
which of the following ?
I. The electric field inside X is zero
II. The electric field outside Y is zero
III. The charge density on both spheres is the same
(A) I only
(B) III only
(C) I and II only
(D) II and III only

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(#M40027642) AIEEE QUESTION Mental Ability Keep an EYE

the cross section of a
long cable that has an inner wire of radius R
surrounded by a conducting sheath of outer
radius 2R. The wire and the sheath carry currents
in opposite directions but with the same uniform
current density J. What is the magnitude of the
magnetic field at the surface of the outer
conductor ?

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