Chapter: Mechanics and Properties of Matter
1.

Tensile strain is equal to

A. Force per unit area
B. Force per unit volume
C. Extension per unit length
D. Force per unit length
Answer» C. Extension per unit length
2.

In elastic collisions,

A. only the total momentum of the colliding objects is conserved.
B. only the total kinetic energy is conserved.
C. both of the momentum and total kinetic energy are conserved.
D. neither momentum of the colliding bodies nor the total kinetic energy are
Answer» C. both of the momentum and total kinetic energy are conserved.
3.

Total angular momentum of a body is given by

A. I × ω; where I: moment of inertia of the body, ω: angular velocity
B. I² × ω; where I: moment of inertia of the body, ω: angular velocity
C. I² × ω²; where I: moment of inertia of the body, ω: angular velocity
D. I × ω²; where I: moment of inertia of the body, ω: angular velocity
Answer» A. I × ω; where I: moment of inertia of the body, ω: angular velocity
4.

Force that acts on a mass of 1 g and gives it an acceleration of 1 cm s -2 is defined as {{}}

A. 1 newton
B. 1 dyne
C. 1 pound-force
D. 1 pa-force
Answer» B. 1 dyne
5.

An object moving in a circle of radius ‘r’ with a constant speed ‘v’ has a constant acceleration towards the center equal to

A. v²⁄r
B. v⁄r
C. v²×r
D. v×r
Answer» A. v²⁄r
6.

Einstein's mass-energy relationship states that if the mass decreases by Δm, the energy released ΔE is given by {{}}

A. ΔE = Δm × c, where "c" denotes the speed of light.
B. ΔE = Δm × c², where "c" denotes the speed of light.
C. ΔE = Δm ⁄ c, where "c" denotes the speed of light.
D. ΔE = Δm ⁄ c², where "c" denotes the speed of light.
Answer» B. ΔE = Δm × c², where "c" denotes the speed of light.
7.

Bernoulli's principle states that, for streamline motion of an incompressible non-viscous fluid:

A. the pressure at any part + the kinetic energy per unit volume = constant
B. the kinetic energy per unit volume + the potential energy per unit volume = constant
C. the pressure at any part + the potential energy per unit volume = constant
D. the pressure at any part + the kinetic energy per unit volume + the potential energy per unit volume = constant
Answer» D. the pressure at any part + the kinetic energy per unit volume + the potential energy per unit volume = constant
8.

While Young's modulus ‘E’ relates to change in length and bulk modulus ‘K’ relates to change in volume, modulus of rigidity ‘G’ relates to change in:

A. weight
B. density
C. shape
D. temperature
Answer» C. shape
9.

Young's modulus is defined as

A. tensile strain/tensile stress
B. tensile stress/tensile strain
C. tensile stress × tensile strain
D. length/area
Answer» B. tensile stress/tensile strain
10.

Velocity of escape is equal to

A. r × √(2g); where r: radius of Earth or any other planet for that matter, g: gravitational field strength
B. g × √(2r); where r: radius of Earth or any other planet for that matter, g: gravitational field strength
C. √(2g) ⁄ r; where r: radius of Earth or any other planet for that matter, g: gravitational field strength
D. √(2gr); where r: radius of Earth or any other planet for that matter, g: gravitational field strength
Answer» D. √(2gr); where r: radius of Earth or any other planet for that matter, g: gravitational field strength
11.

Speed ‘v’ with which wave travels through a medium is given by

A. modulus of elasticity/density of the medium
B. modulus of elasticity/√(density of the medium
C. √(modulus of elasticity/density of the medium
D. v=d/t
Answer» C. √(modulus of elasticity/density of the medium
12.

Hooke's law states that

A. the extension is proportional to the load when the elastic limit is not exceeded
B. the extension is inversely proportional to the load when the elastic limit is not exceeded
C. the extension is independent of the load when the elastic limit is not exceeded
D. load is dependent on extension
Answer» A. the extension is proportional to the load when the elastic limit is not exceeded
13.

Dimensions of strain are {{}}

A. [L]
B. [M] [L]-1[T]-2
C. [L]-1
D. It's a dimensionless quantity
Answer» D. It's a dimensionless quantity
14.

Due to energy dissipation by viscous forces in air, if simple harmonic variations of a pendulum die away after some time, then oscillation is said to be:

A. undamped
B. free
C. damped
D. dependent
Answer» C. damped
15.

At ‘yield point’ of a copper wire

A. the load hasn't exceeded the elastic limit yet; so, Hooke's law applies
B. the load has already exceeded the elastic limit and the material has become plastic
C. even the plastic stage has passed and the wire has snapped already
D. Like Brass and Bronze, Copper has no yield point
Answer» B. the load has already exceeded the elastic limit and the material has become plastic
16.

Stationary waves are also called

A. static waves
B. standing waves
C. progressive waves
D. All of the above
Answer» B. standing waves
17.

When the work done in moving a particle round a closed loop in a field is zero, the forces in the field are called

A. Zero forces
B. Non-Conservative forces
C. Conservative forces
D. Viscous forces
Answer» C. Conservative forces
18.

Substances that elongate considerably and undergo plastic deformation before they break are known as

A. brittle substances
B. breakable substances
C. ductile substances
D. elastic substances
Answer» C. ductile substances
19.

1 torr is equal to

A. 1 N⁄m²
B. 1 mm Hg
C. 1 bar
D. All of the above
Answer» B. 1 mm Hg
20.

Velocity of sound waves through any material depends on

A. the material's density ‘d’ only
B. the material's density ‘d’ as well as its modulus of elasticity ‘E’
C. the material's modulus of elasticity ‘E’ only
D. neither the material's density ‘d’ nor its modulus of elasticity ‘E’
Answer» B. the material's density ‘d’ as well as its modulus of elasticity ‘E’
21.

Period of simple harmonic motion of a spiral spring or elastic thread is given by

A. T = 2π × (extension produced/gravitational field strength
B. T = 2π × (extension produced/√(gravitational field strength
C. T = 2π × (√(extension produced)/gravitational field strength
D. T = 2π × √(extension produced/gravitational field strength
Answer» D. T = 2π × √(extension produced/gravitational field strength
22.

In order to slip one surface over another, maximum frictional force has to be overcome, this maximum frictional force between the two surfaces is also known as

A. kinetic frictional force
B. maximal frictional force
C. limiting frictional force
D. resisting force
Answer» C. limiting frictional force
23.

Van der Waals derived an expression for the ‘pressure defect’, if the observed pressure is denoted as ‘p’ and volume is denoted as ‘V’, the gas pressure in the bulk of the gas is equal to:

A. p + a/V; where a: constant for the particular gas
B. p + a/(V²); where a: constant for the particular gas
C. p + (a × V); where a: constant for the particular gas
D. p + (a × V²); where a: constant for the particular gas
Answer» B. p + a/(V²); where a: constant for the particular gas
24.

"Upthrust = Weight of the liquid displaced" is known as

A. Bernoulli's Principle
B. Archimedes' Principle
C. Pascal's Law
D. Coulomb's law
Answer» B. Archimedes' Principle
25.

Assuming uniform density of the core, the acceleration due to gravity below the Earth's surface is

A. inversely proportional to the square of the distance from the center of the Earth
B. inversely proportional to the distance from the center of the Earth
C. directly proportional to the square of the distance from the center of the Earth
D. directly proportional to the distance from the center of the Earth
Answer» D. directly proportional to the distance from the center of the Earth
26.

When a gas or a liquid is subjected to an increased pressure, the substance contracts, the bulk strain is defined as

A. final volume ⁄ original volume
B. final pressure ⁄ original pressure
C. change in volume ⁄ original volume
D. original volume ⁄ change in volume
Answer» C. change in volume ⁄ original volume
27.

Tensile stress is equal to

A. Force per unit area
B. Force per unit volume
C. Extension per unit length
D. Extension per unit area
Answer» A. Force per unit area
28.

Dimensions of relative density are

A. mass × length-3
B. mass × length3
C. It has no dimensions, since it's a ratio of two densities
D. length 3 × mass -1
Answer» C. It has no dimensions, since it's a ratio of two densities
29.

Dimensions of gravitational constant ‘G’ are: {{}}

A. [M]-1[L]3[T]-2
B. [M] [L]3[T]-2
C. [M]-1[L]2[T]-1
D. [M] [L]-1[T]2
Answer» A. [M]-1[L]3[T]-2
30.

A person of mass ‘m’ kg jumps from a height of ‘h’ meters, he will land on the ground with a velocity equal to:

A. √(2 × g × h
B. 1/h × √(2 × g
C. 2gh
D. 2√(g × h
Answer» A. √(2 × g × h
31.

In linear motion, the energy is given by 1⁄2mv 2. Similarly, in rotational motion, the rotational energy is given by {{}}

A. 1/2 × I × ω; where I: moment of inertia of the body, ω: angular velocity
B. 1/2 × I² × ω; where I: moment of inertia of the body, ω: angular velocity
C. 1/2 × I × ω²; where I: moment of inertia of the body, ω: angular velocity
D. 1/2 × I² × ω²; where I: moment of inertia of the body, ω: angular velocity
Answer» C. 1/2 × I × ω²; where I: moment of inertia of the body, ω: angular velocity
32.

Boyle's law states that

A. pressure of a gas is inversely proportional to its volume i.e. P × V = constant
B. pressure of a gas is directly proportional to its volume i.e. P⁄V = constant
C. pressure of a gas is inversely proportional to the square of its volume i.e. P × V² = constant
D. pressure of a gas is directly proportional to the square of its volume i.e. P ⁄ V² = constant
Answer» A. pressure of a gas is inversely proportional to its volume i.e. P × V = constant
33.

Isothermal bulk modulus is equal to

A. Υ × P; where Υ: the ratio of the specific heat capacities of the gas, P: pressure
B. Pressure
C. The ratio of the specific heat capacities of the gas
D. Υ ⁄ P; where Υ: the ratio of the specific heat capacities of the gas, P: pressure
Answer» B. Pressure
34.

Adiabatic bulk modulus is equal to:

A. Υ × P; where Υ: the ratio of the specific heat capacities of the gas, P: pressure
B. Pressure
C. The ratio of the specific heat capacities of the gas
D. Υ ⁄ P; where Υ: the ratio of the specific heat capacities of the gas, P: pressure
Answer» A. Υ × P; where Υ: the ratio of the specific heat capacities of the gas, P: pressure
35.

Bernoulli's principle shows that, at points in a moving fluid where the potential energy change is very small

A. the pressure is low where the velocity is low and similarly, the pressure is high where the velocity is high
B. the pressure is low where the velocity is high and conversely, the pressure is high where the velocity is low
C. pressure becomes independent of the velocity of the moving fluid
D. pressure remain independent of the speed of the stationary fluid
Answer» B. the pressure is low where the velocity is high and conversely, the pressure is high where the velocity is low
36.

1 N (newton) is equal to {{}}

A. 102 dynes
B. 103 dynes
C. 104 dynes
D. 105 dynes
Answer» D. 105 dynes
37.

Torricelli's theorem states that the velocity ‘v’ of the liquid emerging from the bottom of the wide tank is given by √(2gh). In practice, this velocity is:

A. equal to √(2gh
B. greater than √(2gh
C. lesser than √(2gh
D. independent of height and gravitational field strength
Answer» C. lesser than √(2gh
38.

Dimensions of Young's modulus are {{}}

A. [M]-1[L]-1[T]-2
B. [M]-1[L]-2[T]-2
C. [M] [L]-2[T]-2
D. [M] [L]-1[T]-2
Answer» D. [M] [L]-1[T]-2
39.

Kepler's 3rd law states that...

A. the periods of revolution of the planets are proportional to the cube of their mean distances from sun
B. the periods of revolution of the planets are inversely proportional to the cube of their mean distances from sun
C. the squares of the periods of revolution of the planets are proportional to the cube of their mean distance from sun
D. the squares of the periods of revolution of the planets are inversely proportional to the cube of their mean distance from sun
Answer» C. the squares of the periods of revolution of the planets are proportional to the cube of their mean distance from sun
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