Work, Energy and Power
Motion of System of Particles and Rigid Body
Gravitation
Behaviour of Perfect Gas and Kinetic Theory
Current Electricity
Magnetic Effects of Current and Magnetism
Electromagnetic Induction and Alternating Currents
Electromagnetic Waves
Optics
Uncategorized
Physical World and Measurement
Kinematics
Vectors
Laws of Motion
Properties of Bulk Matter
Thermodynamics
Oscillations and Waves
Electrostatics
Dual Nature of Matter and Radiation
Atoms and Nuclei
Electronic Devices & Semiconductor
Communication System

Solutions
Electrochemistry
Chemical Kinetics
Surface Chemistry
General Principles and Processes of Isolation of Elements
Some Basic Concepts of Chemistry
Structure of Atom
Classification of Elements and Periodicity in Properties
Chemical Bonding and Molecular Structure
States of Matter: Gases and Liquids
Equilibrium
Redox Reactions
Hydrogen
s-Block Element (Alkali and Alkaline earth metals)
Some p-Block Elements
Organic Chemistry- Some Basic Principles and Techniques
Hydrocarbons
Environmental Chemistry
Solid State
p-Block Elements
d and f Block Elements
Coordination Compounds
Haloalkanes and Haloarenes
Alcohols, Phenols and Ethers
Aldehydes, Ketones and Carboxylic Acids
Organic Compounds Containing Nitrogen
Amines
Biomolecules
Polymers
Chemistry in Everyday Life
Thermodynamics
Uncategorized
Nuclear Chemistry

Coordinate Geometry
Mathematical Reasoning
Statistics and Probability
Vectors and Three-Dimensional Geometry
Uncategorized
Sets, Relations and Functions
Permutations and Combinations
Linear Programming
Matrices and Determinants
Logarithm, Indices, Surds and Partial Fraction
Correlation and Regression
Trigonometry
Principle of Mathematical Induction
Complex Numbers and Quadratic Equations
Linear Inequalities
Binomial Theorem
Sequence and Series
Conic Sections
Differential Calculus
Limits, Continuity and Differentiability
Integral Calculus
Differential Equations
Coordinate Geometry
Straight Lines

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 1. The displacement-time graph of particle is shown in Fig. 4.17 .

Work done by all the forces in part {tex} O A {/tex} is greater than zero

Work done by all the forces in part {tex} A B {/tex} is greater than zero

Work done by all the forces in part {tex} B C {/tex} is greater than zero

Work done by all the forces in part {tex} A B {/tex} is less than zero

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 2. A small block of mass {tex} 0.1 \mathrm { kg } {/tex} is pressed against a horizontal spring fixed at one end to compress the spring through {tex} 5.0\mathrm { cm } {/tex} as shown in below Fig. The spring constant is {tex}100 \mathrm { Nm } {/tex} . When released the block moves horizontally till it leaves the spring, it will hit the ground {tex}2 \mathrm { m } {/tex} below the spring.

At a horizontal distance of {tex} 1 \mathrm { m } {/tex} from free end of the spring.

At a horizontal distance of {tex}2 \mathrm { m } {/tex} from free end of the spring.

Vertically below the edge on which the mass is resting.

At a horizontal distance of {tex} \sqrt { 2 } \mathrm { m } {/tex} from free end of the spring.

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 3. A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that

Its velocity is constant.

Its acceleration is constant.

Its kinetic energy is constant.

It moves in a straight line.

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 4. Two identical balls are projected, one vertically up and the other at an angle of with {tex}\mathrm{30^\circ}{/tex} the horizontal, with same initial speed. The potential energy at the highest point is in the ratio

{tex} 4 : 3 {/tex}

{tex} 3 : 4 {/tex}

{tex} 4 : 1 {/tex}

{tex} 1 : 4 {/tex}

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 5. The unit of power is

Kilowatt

Kilowatt-hour

Dyne

Joule

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 6. A particle projected with an initial velocity {tex} u {/tex} at angle {tex} \theta {/tex} from the ground. The work done by gravity during the time it reaches the highest point {tex} P {/tex} is:

{tex} \frac { - m u ^ { 2 } \sin ^ { 2 } \theta } { 2 } {/tex}

{tex} + \frac { m u ^ { 2 } \sin ^ { 2 } \theta } { 2 } {/tex}

0

{tex} + m u ^ { 2 } \sin \theta {/tex}

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 7. A block of mass {tex} m {/tex} is slowly pulled up on inclined plane of height {tex} h {/tex} and inclination {tex} \theta {/tex} with the top of a string parallel to the incline. Which of the following statement is correct for the block when it moves up from the bottom to the top of the incline?

Work done by the normal reaction force is zero.

Work done by the string on block is {tex} { mgh } {/tex} .

Work done by the gravity is {tex} m g h {/tex}

Work done by the block is {tex} - m g h / 2 {/tex}

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 8. A block of mass {tex}2 \mathrm {kg}{/tex} is lifeted through a chain. When block moves through {tex}2 \mathrm {m}{/tex} vertically the velocity becomes {tex} 4 \mathrm { m } / \mathrm { s } . {/tex} Work done by chain force until it moves {tex}2 \mathrm { m } {/tex} is {tex} \left( g = 10 \mathrm { ms } ^ { - 2 } \right) {/tex}

{tex} 40\mathrm { J } {/tex}

{tex}24 \mathrm { J } {/tex}

{tex}56 \mathrm { J } {/tex}

None of these

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 9. A position-dependent force {tex} F = 7 - 2 x + 3 x ^ { 2 } N {/tex} acts on a small body of mass {tex}2 \mathrm { kg } {/tex} and displaces it from {tex} x = 0 {/tex} to {tex} x = 5 \mathrm { m } . {/tex} The work done in joule is

{tex}70 \mathrm { J } {/tex}

{tex} 270\mathrm { J } {/tex}

{tex}35\mathrm { J } {/tex}

{tex}135\mathrm { J } {/tex}

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 10. A particle is released from rest at origin. It moves under the influence of potential field {tex} U = x ^ { 2 } - 3 x {/tex} where {tex} U {/tex} is in Joule and {tex} x {/tex} is in metre. Kinetic energy at {tex} x = 2 \mathrm { m } {/tex} will be

{tex}2 \mathrm { J } {/tex}

{tex}1 \mathrm { J } {/tex}

{tex} 1.5\mathrm { J } {/tex}

{tex}0 \mathrm { J } {/tex}

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 11. The potential energy of a particle of mass {tex} m {/tex} is given by {tex} U = \frac { 1 } { 2 } k x ^ { 2 } {/tex} for {tex} x < 0 {/tex} and {tex} U = 0 {/tex} for {tex} x \geq 0 . {/tex} If total mechanical energy of the particle is {tex} E . {/tex} Then its speed at {tex} x = \sqrt { \frac { 2 E } { k } } {/tex} is

Zero

{tex} \sqrt { \frac { 2 E } { m } } {/tex}

{tex} \sqrt { \frac { E } { m } } {/tex}

{tex} \sqrt { \frac { E } { 2 m } } {/tex}

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 12. A cricket ball is hit for a six leaving the bat at an angle of {tex} 45 ^ { \circ } {/tex} to the horizontal with kinetic energy {tex} K . {/tex} At the top position, the kinetic energy of the ball is

Zero

{tex} K {/tex}

{tex} K / 2 {/tex}

{tex} K / \sqrt { 2 } {/tex}

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 13. A bullet losses {tex}19 \% {/tex} of its kinetic energy when passes through an obstacle. The percentage change in its speed is

Reduced by {tex} 10\% {/tex}

Reduced by {tex} 19\% {/tex}

Reduced by {tex}9.5 \% {/tex}

Reduced by {tex} 11\% {/tex}

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 14. Two springs {tex} A {/tex} and {tex} B \left( k _ { A } = 2 k _ { B } \right) {/tex} are stretched by applying forces of equal magnitudes at the ends. If the energy stored in {tex} A {/tex} is {tex} E {/tex} , then energy stored in {tex} B {/tex} is

{tex} \frac { E } { 2 } {/tex}

{tex}2 E {/tex}

{tex} E {/tex}

{tex} \frac { E } { 4 } {/tex}

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 15. A particle of mass {tex}2 \mathrm { kg } {/tex} starts moving in a straight line with an initial velocity of {tex} 2\mathrm { m } / \mathrm { s } {/tex} at a constant acceleration of {tex} 2 \mathrm { m } / \mathrm { s } ^ { 2 } . {/tex} The rate of change of kinetic energy is

Four times the velocity at any moment.

Two times the displacement at any moment.

Four times the rate of change of velocity at any moment.

Constant throughout.

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 16. A block of mass {tex} m = 0.1 \mathrm { kg } {/tex} is released from a height of {tex}4 \mathrm { m } {/tex} on a curved smooth surface. On the horizontal smooth surface, it collides with a spring of force constant {tex} 800\mathrm { N } / \mathrm { m } {/tex} . The maximum compression in spring will be {tex} \left( g = 10 \mathrm { m } / \mathrm { s } ^ { 2 } \right) {/tex}

{tex} 1\mathrm { cm } {/tex}

{tex}5 \mathrm { cm } {/tex}

{tex}10 \mathrm { cm } {/tex}

{tex}20 \mathrm { cm } {/tex}

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 17. An ideal spring with spring-constant {tex} k {/tex} is hung from the ceiling and a block of mass {tex} m {/tex} is attached to its lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the spring is

{tex} \frac { 4 m g } { k } {/tex}

{tex} \frac { 2 m g } { k } {/tex}

{tex} \frac { m g } { k } {/tex}

{tex} \frac { m g } { 2 k } {/tex}

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 18. A variable force {tex}\mathrm F{/tex} starts acting on a block of mass {tex} 5{ kg } {/tex} resting on a smooth horizontal surface. {tex}\mathrm F{/tex} is varying with displacement {tex} x {/tex} as shown in {tex} F - x {/tex} curve. The velocity of body when its displacement is {tex}3 { m } {/tex} will be

{tex}2 \ \mathrm { ms } ^ { - 1 } {/tex}

{tex}2 \sqrt { 2 } \mathrm { ms } ^ { - 1 } {/tex}

{tex} 2 \sqrt { 3 } \mathrm { ms } ^ { - 1 } {/tex}

{tex}6\ \mathrm { ms } ^ { - 1 } {/tex}

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 19. When a body moves in a circle, the work done by the centripetal force is always

{tex} > 0 {/tex}

{tex} < 0 {/tex}

Zero

None of these

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 20. A block of mass {tex} 2\mathrm { kg } {/tex} is held over a vertical spring free with spring unstretched. Suddenly, if block is left free, maximum compression of spring is [spring constant {tex} K = 200 \mathrm { N } / \mathrm { m } ] {/tex} :

{tex} 0.2\mathrm { m } {/tex}

{tex} 0.1\mathrm { m } {/tex}

{tex} 0.4\mathrm { m } {/tex}

{tex}0.05 \mathrm { m } {/tex}

Your request has been placed successfully.