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AIEEE Latest Exam Pattern - AIEEE Sample Question with Solutions Page 20

(#M40027551) AIEEE QUESTION Mental Ability Keep an EYE

Three physics faculty members sit in three
different cars at a railroad crossing. Three trains
go by at different (constant) speeds, each
emitting the same sound. Each faculty member
uses a cell phone to record the sound of
different train. On the next day, during a faculty
meeting, they plot the frequency as a function of
time on a computer, resulting in the plots shown
in the figure. Which of the three trains had the
highest speed

A) the one represented by the solid line
(B) the one represented by the dashed line
(C) the one represented by the dotted line
(D) impossible to tell

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(#M40027550) AIEEE QUESTION Mental Ability Keep an EYE

A student takes 50gm wax (specific heat = 0.6
kcal/kgºC ) and heats it till it boils. The graph
between temperature and time is as follows. Heat
supplied to the wax per minute and boiling point
are respectively
(A) 500 cal, 50ºC (B) 1000 cal, 100ºC
(C) 1500 cal, 200ºC (D) 3000 cal, 200ºC

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(#M40027549) AIEEE QUESTION Mental Ability Keep an EYE

A wall consists of alternating blocks with a
length d and coefficients of thermal conductivity
K1 and K2. The cross sectional areas of the
blocks are the same. Then equivalent thermal
conductivity, of wall is:

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(#M40027548) AIEEE QUESTION Mental Ability Keep an EYE

Two wires are kept tight between the same pair
of supports. The tensions in the wires are in the
ratio 2 : 1. The radii are in the ratio 3 : 1 and the
densities are in the ratio 1 : 2. The ratio of their
fundamental frequencies are -
(A) 1/2 (B) 2/3
(C) 3/4 (D) 4/9

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(#M40027547) AIEEE QUESTION Mental Ability Keep an EYE

The speed of sound wave in a gas, in which two
waves of wavelengths 1.0 m and 1.02 m produce 6
beats per second is -
(A) 350 m/s (B) 306 m/s
(C) 380 m/s (D) 410 m/

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(#M40027546) AIEEE QUESTION Mental Ability Keep an EYE

Two ideal gases, each consisting of N
monatomic molecules, are in thermal equilibrium
with each other and equilibrium is maintained as
the temperature is increased. A molecule of the
first gas has mass m and a molecule of the
second has mass 4m. The ratio of the changes in
the internal energies ∆E4m/∆Em is -
(A) 1/4 (B) 1/2
(C) 1 (D) 4

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(#M40027545) AIEEE QUESTION Mental Ability Keep an EYE

Suppose the maximum speed of a particle
carrying a sinusoidal progressive wave is vs.
When the displacement of a point on the string is
half its maximum, the speed of the point is

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(#M40027544) AIEEE QUESTION Mental Ability Keep an EYE

Sinusoidal waves travel on four different strings,
all with the same tension. Three of the strings
have the same linear mass density, but the fourth
has a different linear mass density. Use the
mathematical forms of the waves, given below,
to identify the string with the different linear
mass density. In the expressions x and y are in
centimeters and t is in seconds -
(A) y(x, t) = (2 cm) sin(2x − 4t)
(B) y(x, t) = (2 cm) sin(4x − 10t)
(C) y(x, t) = (2 cm) sin(6x − 12t)
(D) y(x, t) = (2 cm) sin(8x − 16t)

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(#M40027543) AIEEE QUESTION Mental Ability Keep an EYE

A certain object floats in fluids of density
(a) 0.9 ρ0 (b) ρ0
(c) 1.1ρ0
Which of the following statements is true ?
(A) the buoyant force of fluid (a) is greater than
the buoyant forces of the other two fluids
(B) the buoyant force of fluid (c) is greater than
the buoyant forces of the other two fluids
(C) the three fluids exert the same buoyant force
(D) the object displace the same volume of all
three fluids

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(#M40027542) AIEEE QUESTION Mental Ability Keep an EYE

An object moving along the x axis is acted upon
by a force Fx that varies with position as shown.
How much work is done by this force as the
object moves from x = 2 m to x = 8 m?
(A) –10 J (B) +10 J (C) +30 J (D) –30 J

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