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

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

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

Work, Energy and Power

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 1. Two masses of 1 {tex} \mathrm { gm } {/tex} and 4 {tex} \mathrm { gm } {/tex} are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is

{tex}4:1{/tex}

{tex} \sqrt { 2 }: 1 {/tex}

{tex}1:2{/tex}

{tex}1:16{/tex}

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 2. A spring of force-constant {tex} k {/tex} is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force-constant of

{tex} ( 2 / 3 ) k {/tex}

{tex} ( 3 / 2 ) k {/tex}

{tex} 3 k {/tex}

{tex} 6 k {/tex}

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 3. If {tex} W _ { 1 } , W _ { 2 } {/tex} and {tex} W _ { 3 } {/tex} represent the work done in moving a particle from {tex} A {/tex} to {tex} B {/tex} along three different paths {tex} 1,2 {/tex} and {tex}3{/tex} respectively (as shown) in the gravitational field of a point mass {tex} m , {/tex} find the correct relation between {tex} W _ { 1 } , W _ { 2 } {/tex} and {tex} W _ { 3 } {/tex}

{tex} W _ { 1 } > W _ { 2 } > W _ { 3 } {/tex}

{tex} W _ { 1 } = W _ { 2 } = W _ { 3 } {/tex}

{tex} W _ { 1 } < W _ { 2 } < W _ { 3 } {/tex}

{tex} W _ { 2 } > W _ { 1 } > W _ { 3 } {/tex}

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 4. A block {tex} ( B ) {/tex} is attached to two unstretched springs {tex} S _ { 1 } {/tex} and {tex} S _ { 2 } {/tex} with spring constants {tex} k {/tex} and {tex} 4 k , {/tex} respectively (see fig. I). The other ends are attached to identical supports {tex} M _ { 1 } {/tex} and {tex} M _ { 2 } {/tex} not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The (figure II) and released. The block returns and moves a maximum distance {tex} y {/tex} towards wall {tex} 2 . {/tex} Displacements {tex} x {/tex} and {tex} y {/tex} are measured with respect to the equilibrium position of the block {tex} B {/tex}. The ratio {tex} y / x {/tex} is -

{tex} 4 {/tex}

{tex} 2 {/tex}

{tex} 1 / 2 {/tex}

{tex} 1 / 4 {/tex}

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 5. A block of mass {tex} 2 \mathrm { kg } {/tex} is free to move along the x-axis. It is at rest and from {tex} \mathrm { t } = 0 {/tex} onwards it is subjected to a time-dependent force {tex} F ( t ) {/tex} in the {tex} x {/tex} direction. The force {tex} F ( t ) {/tex} varies with {tex} t {/tex} as shown in the figure. The kinetic energy of the block after {tex}4.5{/tex} seconds is

{tex} 4.50 \mathrm { J } {/tex}

{tex} 7.50 \mathrm { J } {/tex}

{tex} 5.06 \mathrm J {/tex}

{tex} 14.06 \mathrm { J } {/tex}

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 6. A tennis ball is dropped on a horizontal smooth surface. It bounces back to its original position after hitting the surface. The force on the ball during the collision is proportional to the length of compression of the ball. Which one of the following sketches describes the variation of its kinetic energy {tex} K {/tex} with time {tex} t {/tex} most appropriately? The figure are only illustrative and not to the scale.

Your request has been placed successfully.