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11th Physics Model Exam

St. Britto Hr. Sec. School - Madurai

11th Physics Model Exam-Aug 2020

Time : 3.00 Hours

Part - A

Multiple Choice Question - Answer All Question

A uniform rope having mass m hangs vertically from a rigid support. A transverse wave pulse is produced at the lower end. Which of the following plots shows the correct variation of speed v with height h from the lower end?

Which one of the following is not a force?

Impulse
Tension
Thrust
Weight

A particle falls from a height h on a fixed horizontal plate and rebounds. If e is the coefficient of restitution, the total distance travelled by the particle on rebounding when it stops is

\(\frac { h{ \left( 1+e \right) }^{ 2 } }{ { \left( 1-e \right) }^{ 2 } } \)
\(\frac { h\left( 1+e \right) }{ \left( 1-e \right) } \)
\(\frac { h{ \left( 1+e \right) }^{ 2 } }{ 1-{ e }^{ 2 } } \)
\(\frac { h{ \left( 1-e \right) }^{ 2 } }{ { \left( 1+e \right) }^{ 2 } } \)

Which of the following functions represent SHM?
I. Y = sin ωt - cos ωt
II. y = sin³t
III. y = 5 cos\(\quad \left( \frac { 3\pi }{ 4 } -3\omega t \right) \)
IV. y = 1 + ωt + ω²t²

I and III
I and II
only I
I, II and III

One degree of arc is equal to_______

1.457\(\times\)10²rad
1.457\(\times\)10^-2rad
1.745\(\times\)10²rad
1.745\(\times\)10^-2rad

The vector product of two non-zero vectors will be minimum when \(\theta\) is equal to

0^o
180^o
both (a) and (b)
neither (a) nor (b)

Length of a string tied to two rigid supports is 40 cm maximum length of a stationary wave produced on it is

20
80
40
120

For square and rectangular objects center of mass lies at

the point where the diagonals meet
at the corners
on the center surface
any point

A block of mass 3kg is at rest on a rough inclined plane with angle of inclination 30° with horizontal. If \(\mu\)s = 0.7, then the frictional force is

17.82 N
1.81 N
3.63 N
2.1 N

Time taken by the rolling object in inclined plane to reach its bottom is

\(\sqrt { \frac { 1+\frac { { k }^{ 2 } }{ { R }^{ 2 } } }{ gsin^{ 2 }\theta } } \).
\(\sqrt { \frac { 2gh }{ 1+\frac { { k }^{ 2 } }{ { R }^{ 2 } } } } \).
\(\sqrt { \frac { 2h\left( 1+\frac { { k }^{ 2 } }{ { R }^{ 2 } } \right) }{ gsin^{ 2 }\theta } } \).
\(\sqrt { \frac { 2h\left( 1+\frac { { k }^{ 2 } }{ { R }^{ 2 } } \right) }{ gsin^{ 2 }\theta } } \)

A sample of ideal gas is at equilibrium. Which of the following quantity is zero?

rms speed
average speed
average velocity
most probable speed

An organ pipe A closed at one end is allowed to vibrate in its first harmonic and another pipe B open at both ends is allowed to vibrate in its third harmonic. Both A and B are in resonance with a given tuning fork. The ratio of the length of A and B is

\(\frac{8}{3}\)
\(\frac{3}{8}\)
\(\frac{1}{6}\)
\(\frac{1}{3}\)

A ball is projected vertically upwards with a velocity v. It comes back to ground in time t. Which v-t graph shows the motion correctly?

If force |F|, velocity IVI and time |T| are taken as to fundamental units then the dimensions of mass are

FV^-1T
FV^-1T
FVT^-1
FVT^-2

The absolute zero temperature is transmission as

273 K
-273 K
-273⁰ C
273⁰C

A jet plane moves up in air because:

the gravity does not act on bodies moving with high speeds
the thrust of the jet compensates for the force of gravity
the flow of air around the wings causes an upward force, which compensates for the force of gravity
the weight of air whose volume is equal to the volume of the plane is more than the weight of the plane

Which of the following is wrong matched?

Chemistry - arrange elements in periodic table
Geology - crystal structure of various rocks
Oceanography - movements of neurotransmitters
Biology - electron microscope

Slope of displacement-time graph at any instant gives:

speed
acceleration
retardation
velocity

If a particle has negative velocity and negative acceleration, its speed

increases
decreases
remains same
zero

A circular table of mass 50 kg of radius 1 m has four light legs of length 1 m each fixed symmetrically on its circumference. The maximum mass that can be placed anywhere on the table without topping the table is

110 kg
140.2 kg
120.8 kg
80.4 kg

The comparison of any physical quantity with its standard unit is known as__________

fundamental quantities
measurement
dualism
derived quantities

The accelerated train is an example for

inertial frame
non-inertial frame
both (a) and (b)
none of the above

Same retarding force is applied to stop the train in certain distance. When the speed is doubled, how is this distance changed?

Remain same
Gets doubled
Gets doubled
Gets four times

If the temperature of patient is 40°C, his temperature on the Fahrenheit scale will be

72^oF
96°F
100°F
104°F

Which of the following statement about the gravitational constant is true?

It is a force
It has same value in all system of unit
It has not unit
It depends on the value of the masses

Due to the action of internal forces of the system, the total linear momentum of the system is

a variable
a constant
always zero
always infinity

If the radii of circular paths of two particles of same masses are in the ratio 2 : 3 then to have a constant centripetal force, their velocities should be in a ratio of

\(1:\sqrt { 2 } \)
\(\sqrt { 2 } :\sqrt { 3 } \)
\(\sqrt { 3 } :\sqrt { 2 } \)
1:\(\sqrt { 3 } \)

The scalar product of two vectors will be minimum. When \(\theta\) is equal to

0^o
45^o
180^o
60^o

A ball is thrown upwards at a certain angle with the horizontal and it returns to the ground describing a parabolic path. Which of the following remains constant?

Momentum of the ball
Kinetic energy of the ball
Vertical component of the velocity
Horizontal component of the velocity

If r and k represent the radius and radius of gyration of a rolling body, the ratio of the rotational kinetic energy to the total kinetic energy of the body is

k²:r²
(k² + r²) : r²
r²:(k²+r²)
k²:(k²+r²)

Part - B

Generic 2 - Answer All Question

Give examples for action - reaction forces

Give the uses of polar satellites.

Name the technique used in locating.
(a) an under water obstacle
(b) position of an aeroplane in space.

What is rigid body?

What is degree? Express 1 radian in degree.

What are derived units?

Define a scalar. Give examples

What are conservative forces?

Write down the time period of simple pendulum.

Distinguish between classical mechanics and quantum mechanics.

Write down the moment of inertia of a disc of radius R and mass m about an axis in its plane at a distance R/2 from its centre

What is parsec?

State the essential condition for the addition of vectors.

What is the formula representation of Mean Absolute error?

Give examples where the centre of mass coincides with the geometrical centre of the body.

What is meant by rms speed of the molecules of a gas? Is rms speed same as the average speed?

Classify the following motions as periodic and non-periodic motions?.
a. Motion of Halley’s comet.
b. Motion of clouds.
c. Moon revolving around the Earth

Write down the equation of time period for linear harmonic oscillator.

A beam of metal has length, breadth and height as 4m, 3m and 5m respectively. Then what will be the volume of the metal beam? Express the result in SI unit system.

The outer edge of a curved road is generally raised over the inner edge. Why?

Part - C

Generic 3 - Answer All Question

A particle is projected upward from the surface of the earth (radius) with a K.E equal to half the minimum value needed for it to escape. To which height, does it rise above the surface of earth?

What are fundamental quantities and derived quantities?

Define center of gravity

The maximum and minimum distances of a comet from the sun are 1.4x10¹²m and 7 x 10¹⁰m. If its velocity nearest to the sun is 6 x 104 ms^-1, what is the velocity in the farthest position? Assume that path of the comet in both the instantaneous positions is circular.

Find the distance travelled by the particle during the time t = 0 to t = 3 seconds from the figure.
In a physical units, how many units are there in 1 metre?
1 parallactic second (parsec) = 3.08 x 10¹⁶ m
Given data:
1 AU = 1.496 x 10¹¹m
1 ly = 9.467 x 10¹⁵m
1 mm = 10^-6m
1 parsec = 3.08 x 10¹⁶m

A block of mass 5 kg is placed on the floor, the coefficient of static friction is 0.6. A force of 3.8 N is applied on the block. Find the force on friction between the block and the floor.

From an equilibrium state A to another equilibrium state A to another equilibrium state B an amount of work equal to 300 J is done on the system. If the gas is taken from state Ato B via a process in which the net heat observed by the system is 10 cal, how much is the net work done by the system in the later case? [Take 1 cal = 4.2 J]

Obtain an expression for Gravitational Field intensity measured with an object of unit mass.

A force of 36 dynes is inclined to the horizontal at an angle of 60°. Find the acceleration in a mass of 18 g that moves in a horizontal direction.

The velocity of a body is given by the equation v = b/t + ct² + dt³. Find the dimensional formula for b.

A pump on the ground floor of a building can pump up water to fill a tank of volume 30 m³ in 15 min. If the tank is 40 m above the ground, how much electric power is consumed by the pump. The efficiency of the pump is 30%.

In some demonstration, a police officer fires a bullet of mass 50.0g with speed 200 ms-1 on soft plywood of thickness 2.00 cm. The bullet emerges with only 10% of its initial kinetic energy. What is the emergent speed of the bullet?

Explain the concept of inertia. Write two examples each for inertia of motion, inertia of rest and inertia of direction

Describe an analytical method for determining the work done during the expansion of gas.

A string breaks 'under a load of 4.8 kg. A mass of 0.5kg has attached to one end of the string 2m along and is rotated in a horizontal circle. Calculate the greatest number of revolutions that the mass can make without breaking the string.

Part - D

Generic 5 - Answer All Question

Speed of an atom in an argon gas cylinder equal to the rms speed of a helium gas atom at -20°C? [Atomic mass of Ar =39.90, He =4.04]

Explain in detail the working of a refrigerator.

Calculate the CG of plane lamina by pivoting method.

Write the applications of reflection of sound waves.
A solid sphere is undergoing pure rolling. What is the ratio of its translational kinetic energy to rotational kinetic energy?

Derive an expression for the acceleration of the body sliding down a frictionless surface.

Consider a simple pendulum, having a bob attached to a string, that oscillates under the action of the force of gravity. Suppose that the period of oscillation of the simple. Pendulum depends on its length (I), mass of the bob, (m) und acceleration due to gravity ,(g). Derive the expression for its time period using method of dimension.

Prove the law of conservation of linear momentum. Use it to find the recoil velocity of a gun when a bullet is fired from it.

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