Byju's Answer

Question Papers

KCET Engineer...

KCET Engineering | 2016

Q. Nature of equipotential surface for a point charge is:

Sphere with charge at the center of the sphere
Sphere with charge on the surface of the sphere
Plane with charge on the surface
Ellipsoid with charge at foci

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Q. Four rods with different radii

r

and length

l

are used to connect two heat reservoirs at different temperature. Which one will conduct most heat?

$r = 1 c m, l = 1 m$
$r = 1 c m, l = \frac{1}{2} m$
$r = 2 c m, l = 2 m$
$r = 2 c m, l = \frac{1}{2} m$

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Q. Four metal plates are arranged as shown. Capacitance between

X

and

Y

is (

A \to

Area of each plate,

d \to

distance between the plates)

$\frac{3}{2} \frac{ϵ_{0} A}{d}$
$\frac{2 ϵ_{0} A}{d}$
$\frac{2}{3} \frac{ϵ_{0} A}{d}$
$\frac{3 ϵ_{0} A}{d}$

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Q. A particle executing SHM has a maximum speed of

0.5 m s^{- 1}

and maximum acceleration of

1 m s^{- 2}

The angular frequency of oscillation is:

$2 r a d s^{- 1}$
$0.5 r a d s^{- 1}$
$0.5 π r a d s^{- 1}$
$2 π r a d s^{- 1}$

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Q. A body falls freely for

10 s e c

. Its average velocity during this journey (take

g = 10 m s^{- 2}

$100 m s^{- 1}$
$10 m s^{- 1}$
$50 m s^{- 1}$
$5 m s^{- 1}$

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Q. A proton is projected with a uniform velocity '

v

' along the axis of a current carrying solenoid. Then:

The proton path will be circular about the axis.
The proton will be accelerated along the axis.
The proton move along helical path.
The proton will continue to move with velocity ' $v$ ' along the axis.

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Q. Variation of resistance of the conductor with temperature is as shown
The temperature co-efficient

(α)

of the conductor is

$\frac{R_{o}}{m}$
$m R_{o}$
$\frac{m}{R_{o}}$
$m^{2} R_{o}$

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Q. Maximum acceleration of the train in which a

50 k g

box lying on its floor will remain stationary is(Given : Co-efficient of static friction between the box and the train's floor is

0.13

and

g = 9.8 m s^{- 2}

$5.0 m s^{- 2}$
$3.0 m s^{- 2}$
$15 m s^{- 2}$
$1.5 m s^{- 2}$

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Q. A capacitor of

8 F

is connected as shown. Charge on the plates of the capacitor is

$40 C$
$32 C$
$80 C$
$0 C$

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Q. In the cyclotron, as radius of the circular path of the charged particle increases (

ω =

angular velocity,

v =

linear velocity)

Both $ω$ and $v$ increases
$v$ increases, $ω$ remains constant
$v$ increases, $ω$ decreases
$ω$ only increases, $v$ remains constant

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Q. A spring is stretched by applying a load to its free end. The strain produced in the spring is

Shear
Longitudinal
Volumetric
Longitudinal and shear

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Q. A

12 k g

bomb at rest explodes into two pieces of

4 k g

and

8 k g

. If the momentum of

4 k g

piece is

20 N s

, the kinetic energy of the

8 k g

piece is:

$25 J$
$50 J$
$20 J$
$40 J$

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Q. A pan filled with hot food cools from

94^{\circ} C

86^{\circ} C

2

minutes. When the room temperature is

20^{\circ} C

. How long will it cool from

74^{\circ} C

66^{\circ} C

$2$ minutes
$1.8$ minutes
$2.8$ minutes
$2.5$ minutes

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Q. An ideal fluid flows through a pipe of circular cross section with diameter

5 c m

and

10 c m

as shown. The ratio of velocities of fluid at

A

and

B

$1 : 4$
$4 : 1$
$2 : 1$
$1 : 2$

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Q. Potential difference between

A

and

B

in the above circuit is:

$4 V$
$5.6 V$
$2.8 V$
$6 V$

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Q. A Carnot engine working between

300 K

and

400 K

has

800 J

of useful work. The amount of heat energy supplied to the engine from the source is

$2400 J$
$1200 J$
$3200 J$
$3600 J$

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Q. An electron of mass

m

, charge

e

falls through a distance

h

meter in a uniform electric field

E

Then, time of fall is:

$t = \frac{2 e E}{h m}$
$t = \frac{2 h m}{e E}$
$t = \sqrt{\frac{2 h m}{e E}}$
$t = \sqrt{\frac{2 e E}{h m}}$

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Q. Three bodies a ring

(R)

, a solid cylinder

(C)

and a solid sphere

(S)

having same mass and same radius roll down the inclined plane without slipping. They start from rest, if

v_{R}

v_{C}

and

v_{S}

are velocities of respective bodies on reaching the bottom of the plane, then:

$v_{R} = v_{C} = v_{S}$
$v_{R} > v_{C} > v_{S}$
$v_{R} = v_{C} > v_{S}$
$v_{R} < v_{C} < v_{S}$

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Q. In the following network potential at '

O

$4 V$
$3 V$
$4.8 V$
$6 V$

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Q. If

_{a x}

and

_{e q}

represents electric field at a point on the axial and equatorial line of a dipole. If points are at a distance

r

from the centre of the dipole, for

r ≫ a

$_{a x} =_{e q}$
$_{a x} = - 2_{e q}$
$_{a x} = -_{e q}$
$_{e q} = 2_{a x}$

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Q. Mobility of free electrons in a conductor is:

directly proportional to electron density
inversely proportional to relaxation time
directly proportional to relaxation time
inversely proportional to electron density

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Q. Two heating coils of resistances

10 Ω

and

20 Ω

are connected in parallel and connected to a battery of emf

12 V

and internal resistance

1 Ω

. The power consumed by them are in the ratio

$1 : 3$
$1 : 4$
$2 : 1$
$4 : 1$

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Q. A particle of mass

1 g m

and charge

1 μ C

is held at rest on a frictional horizontal surface at distance

1 m

from a fixed charge

2 m C

. If the particle is released, it will be repelled. The speed of the particle when it is at a distance of

10 m

from the fixed charge will be:

$60 m s^{- 1}$
$90 m s^{- 1}$
$180 m s^{- 1}$
$100 m s^{- 1}$

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Q. Variation of acceleration due to gravity

(g)

with distance

x

from the centre of the earth is best represented by : (

R \to

Radius of the earth)

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Q. A source of sound is moving with a velocity of

50 m s^{- 1}

towards a stationary observer. The observer measures the frequency of sound as

500 H z

. The apparent frequency of sound as heard by the observer when source is moving away from him with the same speed is (Speed of sound at room temperature

350 m s^{- 1}

)

$666 H z$
$177.5 H z$
$400 H z$
$375 H z$

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Q. If there is only one type of charge in the universe, then what is the flux to the entire universe.
(

\to E \to

Electric field,

\to d s \to

Area vector)

$\oint \to E \cdot \to d s$ could not be defined
$\oint \to E \cdot \to d s \neq 0$ on any surface
$\oint \to E \cdot \to d s = \infty$ if charge is inside
$\oint \to E \cdot \to d s = 0$ if charge is outside, $= \frac{q}{ϵ_{0}}$ if charge is inside

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Q. Effective resistance between

A

and

B

in the following circuit

$10 Ω$
$\frac{20}{3} Ω$
$5 Ω$
$20 Ω$

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Q. The component of a vector

\to r

along

x

-axis will have a maximum value if:

$\to r$ along +ve $x$ -axis
$\to r$ along +ve $y$ -axis
$\to r$ along -ve $y$ -axis
$\to r$ makes an angle of $45^{o}$ with the $x$ -axis

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Q. Three projectiles

A

B

and

C

are projected at an angle of

30^{o}

45^{o}

60^{o}

respectively. If

R_{A}

R_{B}

and

R_{C}

are ranges of

A

B

and

C

respectively, then (velocity of projection is same for

A

B

and

C

$R_{A} = R_{B} = R_{C}$
$R_{A} = R_{C} > R_{B}$
$R_{A} < R_{B} < R_{C}$
$R_{A} = R_{C} < R_{B}$

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Q. Which of the points is likely position of the centre of mass of the system shown in the figure?

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