# JEE Advanced > Properties of Bulk Matter

Explore popular questions from Properties of Bulk Matter for JEE Advanced. This collection covers Properties of Bulk Matter previous year JEE Advanced questions hand picked by experienced teachers.

Physics
Chemistry
Mathematics
Q 1.

Correct4

Incorrect-1

A constant volume gas thermometer works on

A

The Principle of Archimedes

B

Boyle's Law

C

Pascal's Law

Charle's Law

##### Explanation Q 2.

Correct4

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An ideal monatomic gas is taken round the cycle {tex} A B C D A {/tex} as shown in the {tex} P - V {/tex} diagram (see Fig.). The work done during the cycle is {tex} P V {/tex}

B

{tex} 2 P V {/tex}

C

{tex} \frac { 1 } { 2 } P V {/tex}

D

zero

##### Explanation Q 3.

Correct4

Incorrect-1

Three rods of identical cross-sectional area and made from the same metal from the sides of an isosceles traingle {tex} A B C , {/tex} right-angled at {tex} B {/tex}. The points {tex} A {/tex} and {tex} B {/tex} are maintained at temperatures {tex} T {/tex} and {tex} ( \sqrt { 2 } ) T {/tex} respectively. In the steady state, the temperature of the point {tex} C {/tex} is {tex} T _ { c } {/tex}. Assuming that only heat conduction takes place, {tex} T _ { c } / T {/tex} is

A

{tex} \frac { 1 } { 2 ( \sqrt { 2 } - 1 ) } {/tex}

{tex} \frac { 3 } { \sqrt { 2 } + 1 } {/tex}

C

{tex} \frac { 1 } { \sqrt { 3 } ( \sqrt { 2 } - 1 ) } {/tex}

D

{tex} \frac { 1 } { \sqrt { 2 } + 1 } {/tex}

##### Explanation   Q 4.

Correct4

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An ideal gas is taken through the cycle {tex} A \rightarrow B \rightarrow C \rightarrow A {/tex}, as shown in the figure. If the net heat supplied to the gas in the cycle is {tex} 5 \mathrm { J } , {/tex} the work done by the gas in the process {tex} C \rightarrow A {/tex} is {tex} - 5 \mathrm { J } {/tex}

B

{tex} - 10 \mathrm { J } {/tex}

C

{tex} - 15 \mathrm { J } {/tex}

D

{tex} - 20 \mathrm { J } {/tex}

##### Explanation Q 5.

Correct4

Incorrect-1

Which of the following graphs correctly represents the variation of {tex} \beta = - \frac { d V / d P } { V } {/tex} with {tex} P {/tex} for an ideal gas at constant temperature? B C D ##### Explanation Q 6.

Correct4

Incorrect-1

An ideal Black-body at room temperature is thrown into a furnace. It is observed that

initially it is the darkest body and at later times the brightest

B

it is the darkest body at all times

C

it cannot be distinguished at all times

D

initially it is the darkest body and at later times it cannot be distinguished

##### Explanation Q 7.

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The graph, shown in the adjacent diagram, represents the variation of temperature (T) of two bodies, {tex} x {/tex} and {tex} y {/tex} having same surface area, with time {tex} ( t ) {/tex} due to the emission of radiation. Find the correct relation between the emissivity and absorptivity power of the two bodies A

{tex} E _ { x } > E _ { y }\ \& \ a _ { x } < a _ { y } {/tex}

B

{tex} E _ { x } < E _ { y }\ \& \ a _ { x } > a _ { y } {/tex}

{tex} E _ { x } > E _ { y }\ \& \ a _ { x } > a _ { y } {/tex}

D

{tex} E _ { x } < E _ { y }\ \& \ a _ { x } < a _ { y } {/tex}

##### Explanation  Q 8.

Correct4

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Three discs {tex} A , B {/tex} and {tex} C {/tex} having radii {tex} 2,4 , {/tex} and {tex} 6 \mathrm { cm } {/tex} respectively are coated with carbon black. Wavelength for maximum intensity for the three dises are {tex} 300,400 {/tex} and {tex} 500 \mathrm { nm } {/tex} respectively . If {tex} Q _ { A } , Q _ { B } {/tex} and {tex} Q _ { C } {/tex} are power emitted by {tex} A , B {/tex} and {tex} D {/tex} respectively, then

A

{tex} Q _ { A } {/tex} will be maximum

{tex} Q _ { B } {/tex} will be maximum

C

{tex} Q _ { \mathrm { C } } {/tex} will be maximum

D

{tex} { Q } _ { A } = Q _ { B } = Q _ { C } {/tex}

##### Explanation   Q 9.

Correct4

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If liquefied oxygen at 1 atmospheric pressure is heated from {tex} 50 \mathrm { k } {/tex} to {tex} 300 \mathrm { k } {/tex} by supplying heat at constant rate. The graph of temperature vs time will be

A B  D ##### Explanation Q 10.

Correct4

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Two identical rods are connected between two containers one of them is at {tex} 100 ^ { \circ } \mathrm { C } {/tex} and another is at {tex} 0 ^ { \circ } \mathrm { C } {/tex}. If rods are connected in parallel then the rate of melting of ice is {tex} q _ { 1 } \mathrm { gm } / {/tex} sec. If they are connected in series then the rate is {tex} q _ { 2 } . {/tex} The ratio {tex} q _ { 2 } / q _ { 1 } {/tex} is

A

{tex} 2 {/tex}

B

{tex} 4 {/tex}

C

{tex} 1 / 2 {/tex}

{tex} 1 / 4 {/tex}

##### Explanation Q 11.

Correct4

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5.6 liter of helium gas at STP is adiabatically compressed to 0.7 liter. Taking the initial temperature to be {tex} \mathrm { T } _ { 1 } , {/tex} the work done in the process is

{tex} \frac { 9 } { 8 } R T_1 {/tex}

B

{tex} \frac { 3 } { 2 } R T_1 {/tex}

C

{tex} \frac { 15 } { 8 } R T_1 {/tex}

D

{tex} \frac { 9 } { 2 } R T _ { 1 } {/tex}

##### Explanation  Q 12.

Correct4

Incorrect-1

Two moles of ideal helium gas are in a rubber balloon at {tex} 30 ^ { \circ } \mathrm { C } {/tex}. The balloon is fully expandable and can be assumed to require no energy in its expansion. The temperature of the gas in the balloon is slowly changed to {tex} 35 ^ { \circ } \mathrm { C } {/tex}. The amount of heat required in raising the temperature is nearly (take {tex} R {/tex} {tex} = 8.31 \mathrm { J } / \mathrm { mol . K } {/tex} )

A

{tex} 62 \mathrm { J } {/tex}

B

{tex} 104 \mathrm { J } {/tex}

C

{tex} 124 \mathrm { J } {/tex}

{tex} 208 \mathrm { J } {/tex}

##### Explanation Q 13.

Correct4

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Two rectangular blocks, having identical dimensions, can be arranged either in configuration-I or in configuration-II as shown in the figure. One of the blocks has thermal conductivity {tex} k {/tex} and the other {tex} 2 k . {/tex} The temperature difference between the ends along the {tex} x {/tex} -axis is the same in both the configurations. It takes 9 s to transport a certain amount of heat from the hot end to the cold end in the configuration-I. The time to transport the same amount of heat in the configuration-II is {tex} 2.0 \mathrm { s } {/tex}

B

{tex} 4.5 \mathrm { s } {/tex}

C

{tex} 3.0 \mathrm { s } {/tex}

D

{tex} 6.0 \mathrm { s } {/tex}

##### Explanation  Q 14.

Correct4

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A gas is enclosed in a cylinder With a movable frictionless piston. Its initial thermodynamic state at pressure {tex}\mathrm {P_i=10^5 Pa}{/tex} and volume {tex}\mathrm {V_i=10^{-3} m^3}{/tex} changes to a final state at {tex}\mathrm {P_f=(1/32)\times10^5 Pa}{/tex} and {tex}\mathrm {V_f=8\times10^{-3} m^3}{/tex} in an adiabatic quasi-static process, such that {tex}\mathrm {P^3V^5}{/tex} = constant. Consider another thermodynamic process that brings the system from the same initial state to the same final state in two steps: an isobaric expansion at {tex}\mathrm {P_i}{/tex} followed by an isochoric (isovolumetric) process at volume {tex}\mathrm {V_f}{/tex}. The amount of heat supplied to the system in the two-step process is approximately

A

{tex} 112 \mathrm { J } {/tex}

B

{tex} 294 \mathrm { J } {/tex}

{tex} 588 \mathrm { J } {/tex}

D

{tex} 813 \mathrm { J } {/tex}

##### Explanation  Q 15.

Correct4

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The ends {tex} Q {/tex} and {tex} R {/tex} of two thin wires, {tex} P Q {/tex} and {tex} R S {/tex}, are soldered (joined) together. Initially each of the wires has a length of 1 {tex} m {/tex} at {tex} 10 ^ { \circ } \mathrm { C } {/tex}. Now the end {tex} P {/tex} is maintained at {tex} 10 ^ { \circ } \mathrm { C } {/tex}, while the end {tex} S {/tex} is heated and maintained at {tex} 400 ^ { \circ } \mathrm { C } {/tex}. The system is thermally insulated from its surroundings. If the thermal conductivity of wire {tex} P Q {/tex} is twice that of the wire {tex} RS {/tex} and the coefficient of linear thermal expansion of {tex} P Q {/tex} is {tex} 1.2 \times 10 ^ { - 5 } {/tex} {tex} K ^ { - 1 } , {/tex} the change in length of the wire {tex} P Q {/tex} is

{tex} 0.78 \mathrm { mm } {/tex}

B

{tex} 0.90 \mathrm { mm } {/tex}

C

{tex} 1.56 \mathrm { mm } {/tex}

D

{tex} 2.34 \mathrm { mm } {/tex}

##### Explanation     Q 16.

Correct4

Incorrect-1

A vessel containing water is given a constant acceleration {tex} ^ { \prime } a ^ { \prime } {/tex} towards the right along a straight horizontal path. Which of the following diagrams in Fig. represents the surface of the liquid?

A B  D

None of the above

##### Explanation Q 17.

Correct4

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The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?

length {tex} = 50 \mathrm { cm } , {/tex} diameter {tex} = 0.5 \mathrm { mm } {/tex}

B

length {tex} = 100 \mathrm { cm } , {/tex} diameter {tex} = 1 \mathrm { mm } {/tex}

C

length {tex} = 200 \mathrm { cm } , {/tex} diameter {tex} = 2 \mathrm { mm } {/tex}

D

length {tex} = 300 \mathrm { cm } , {/tex} diameter {tex} = 3 \mathrm { mm } {/tex}

##### Explanation Q 18.

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A {tex}\mathrm U{/tex} -tube of uniform cross section (see Fig) is partially filled with a liquid {tex}\mathrm I{/tex}. Another liquid {tex}\mathrm {II}{/tex} which does not mix with liquid {tex}\mathrm I{/tex} is poured into one side. It is found that the liquid levels of the two sides of the tube are the same, while the level of liquid {tex}\mathrm I{/tex} has risen by {tex} 2 \mathrm { cm } {/tex}. If the specific gravity of liquid {tex}\mathrm I{/tex} is {tex} 1.1 , {/tex} the specific gravity of liquid {tex}\mathrm {II}{/tex} must be A

1.12

1.1

C

1.05

D

1

##### Explanation Q 19.

Correct4

Incorrect-1

A homogeneous solid cylinder of length {tex} L ( L < H / 2 ) , {/tex} cross- sectional area {tex} A / 5 {/tex} is immersed such that it floats with its axis vertical at the liquid-liquid interface with length {tex} L / 4 {/tex} in the denser liquid as shown in the figure. The lower density liquid is open to atmosphere having pressure {tex} P _ { 0 } {/tex}. Then density {tex} D {/tex} of solid is given by {tex} \frac { 5 } { 4 } d {/tex}

B

{tex} \frac { 4 } { 5 } d {/tex}

C

{tex} 4 d {/tex}

D

{tex} \frac { d } { 5 } {/tex}

##### Explanation Q 20.

Correct4

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A large open tank has two holes in the wall. One is a square hole of side {tex} L {/tex} at a depth {tex} y {/tex} from the top and the other is a circular hole of radius {tex} R {/tex} at a depth {tex} 4 y {/tex} from the top. When the tank is completely filled with water, the quantities of water flowing out per second from both holes are the same. Then, {tex} R {/tex} is equal to

{tex} \frac { L } { \sqrt { 2 \pi } } {/tex}

B

{tex} 2 \pi L {/tex}

C

{tex}L{/tex}

D

{tex} \frac { L } { 2 \pi } {/tex}

##### Explanation Q 21.

Correct4

Incorrect-1

A hemispherical portion of radius {tex} R {/tex} is removed from the bottom of a cylinder of radius {tex} R {/tex}. The volume of the remaining cylinder is {tex} V {/tex} and its mass {tex} M . {/tex} It is suspended by a string in a liquid of density {tex} \rho {/tex} where it stays vertical. The upper surface of the cylinder is at a depth {tex} h {/tex} below the liquid surface. The force on the bottom of the cylinder by the liquid is A

{tex} M g {/tex}

B

{tex} M g - V \rho g {/tex}

C

{tex} M g + \pi R ^ { 2 } h \rho g {/tex}

{tex} \rho g \left( V + \pi R ^ { 2 } h \right) {/tex}

##### Explanation Q 22.

Correct4

Incorrect-1

A wooden block, with a coin placed on its top, floats in water as shown in figure. The distance {tex} \ell {/tex} and {tex} h {/tex} are shown here. After some time the coin falls into the water. Then A

{tex} \ell {/tex} decreases and {tex} h {/tex} increases

B

{tex} \ell {/tex} increases and {tex} h {/tex} decreases

C

both {tex} \ell {/tex} and {tex} h {/tex} increase

both {tex} \ell {/tex} and {tex} h {/tex} decrease

##### Explanation Q 23.

Correct4

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The adjacent graph shows the estension {tex} ( \Delta \ell ) {/tex} of a wire of length {tex} 1 \mathrm { m } {/tex} suspended from the top of a roof at one end and with a load {tex} W {/tex} connected to the other end. If the cross- sectional area of the wire is {tex} 10 ^ { - 6 } \mathrm { m } ^ { 2 } , {/tex} calculate the Young's modulus of the material of the wire. {tex} 2 \times 10 ^ { 11 } \mathrm { N } / \mathrm { m } {/tex}

B

{tex} 2 \times 10 ^ { - 11 } \mathrm { N } / \mathrm { m } {/tex}

C

{tex} 3 \times 10 ^ { - 12 } \mathrm { N } / \mathrm { m } {/tex}

D

{tex} 2 \times 10 ^ { - 13 } \mathrm { N } / \mathrm { m } {/tex}

##### Explanation Q 24.

Correct4

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Water is filled in a container upto height {tex} 3 \mathrm { m } {/tex}. A small hole of area {tex} ^ { \prime } a ^ { \prime } {/tex} is punched in the wall of the container at a height {tex} 52.5 \mathrm { cm } {/tex} from the bottom. The cross sectional area of the container is {tex} A . {/tex} If {tex} a / A = 0.1 {/tex} then {tex} v ^ { 2 } {/tex} is (where {tex} v {/tex} is the velocity of water coming out of the hole)

50

B

51

C

48

D

51.5

##### Explanation Q 25.

Correct4

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When temperature of a gas is {tex} 20 ^ { \circ } \mathrm { C } {/tex} and pressure is changed from {tex} \mathrm { p } _ { 1 } = 1.01 \times 10 ^ { 5 } \mathrm { Pa } {/tex} to {tex} \mathrm { p } _ { 2 } = 1.165 \times 10 ^ { 5 } \mathrm { Pa } {/tex} then the volume changed by {tex} 10 \% . {/tex} The bulk modulus is

{tex} 1.55 \times 10 ^ { 5 } \mathrm { Pa } {/tex}

B

{tex} 0.115 \times 10 ^ { 5 } \mathrm { Pa } {/tex}

C

{tex} 1.4 \times 10 ^ { 5 } \mathrm { Pa } {/tex}

D

{tex} 1.01 \times 10 ^ { 5 } \mathrm { Pa } {/tex}

##### Explanation 