# JEE Main

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

## Mathematics

Properties of Bulk Matter

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Q 1. A steel tape gives correct measurement at {tex} 20 ^ { \circ } \mathrm { C } . {/tex} A piece of wood is being measured with the steel tape at {tex} 0 ^ { \circ } \mathrm { C } . {/tex} The reading is {tex}25 \mathrm { cm } {/tex} on the tape. The real length of the given piece of wood must be

A

25{tex} \mathrm { cm } {/tex}

Less than 25{tex} \mathrm { cm } {/tex}

C

More than 25 cm

D

None of these

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Q 2. Heat required to melt {tex} 1\mathrm { gm } {/tex} of ice is {tex} 80\mathrm { cal } {/tex} . A man melts {tex}60 \mathrm { gm } {/tex} of ice by chewing it in {tex} 1 {/tex} minute. Power supplied by the man to melt ice is

A

4800W

336 W

C

80W

D

0.75 W

##### Explanation

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Q 3. The temperature of cold junction of a thermocouple is {tex} - 20 ^ { \circ } \mathrm { C } {/tex} and the temperature of inversion is {tex} 560 ^ { \circ } \mathrm { C } {/tex} . The neutral temperature is

{tex} 270 ^ { \circ } \mathrm { C } {/tex}

B

{tex} 560 ^ { \circ } \mathrm { C } {/tex}

C

{tex} 1120 ^ { \circ } \mathrm { C } {/tex}

D

{tex} 290 ^ { \circ } \mathrm { C } {/tex}

##### Explanation

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Q 4. Two litres of water at initial temperature of {tex} 27 ^ { \circ } \mathrm { C } {/tex} is heated by a heater of power {tex}1 \mathrm { kW } {/tex} in a kettle. If the lid of the kettle is open, then heat energy is lost at a constant rate of {tex}160 \mathrm { J } / \mathrm { s } {/tex} . The time in which the temperature will rise from {tex} 27 ^ { \circ } \mathrm { C } {/tex} to {tex} 77 ^ { \circ } \mathrm { C } {/tex} is (specific heat of water {tex} = 4.2 \mathrm { kJ } / \mathrm { kg } ) {/tex}

A

5 min 20 s

8 min 20 s

C

10 min 40 s

D

12 min 50 s

##### Explanation

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Q 5. Graph of specific heat at constant volume for a monoatomic gas is

A

B

D

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Q 6. The ratio of coefficients of cubical expansion and linear expansion is

A

{tex} 1 : 1 {/tex}

{tex} 3 : 1 {/tex}

C

{tex} 2 : 1 {/tex}

D

None of these

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Q 7. Minimum amount of steam of {tex} 100 ^ { \circ } \mathrm { C } {/tex} required to melt {tex}12 \mathrm { gm } {/tex} ice completely will be

1.5{tex} \mathrm { gm } {/tex}

B

1{tex} \mathrm { gm } {/tex}

C

2{tex} \mathrm { gm } {/tex}

D

5{tex} \mathrm { gm } {/tex}

##### Explanation

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Q 8. A container {tex} X {/tex} contains 1 mole of {tex} O _ { 2 } {/tex} gas (molar mass 32 ) at a temperature {tex} T {/tex} and pressure {tex} P {/tex} . Another identical container {tex} Y {/tex} contains 1 mole of {tex} He {/tex} gas (molar mass 4) at temperature {tex} 2 T , {/tex} then

A

pressure in the container {tex} Y {/tex} is {tex} P / 8 {/tex}

B

pressure in container {tex} Y {/tex} is {tex} P {/tex}

pressure in the container {tex} Y {/tex} is 2{tex} P {/tex}

D

pressure in container {tex} Y {/tex} is {tex} P / 2 {/tex}

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Q 9. We have a jar {tex} A {/tex} filled with gas characterized by parameters {tex} P , V , {/tex} and {tex} T {/tex} and another jar {tex} B {/tex} filled with gas with parameters {tex} 2 P , V / 4 , {/tex} and {tex} 2 T , {/tex} where the symbols have their usual meanings. The ratio of the number of molecules of jar {tex} A {/tex} to those of jar {tex} B {/tex} is

A

{tex} 1 : 1 {/tex}

B

{tex} 1 : 2 {/tex}

C

{tex} 2 : 1 {/tex}

{tex} 4 : 1 {/tex}

##### Explanation

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Q 10. 1000 drops of a liquid of surface tension {tex} \sigma {/tex} and radius {tex} r {/tex} join together to form a big single drop. The energy released raises the temperature of the drop. If {tex} \rho {/tex} be the density of the liquid and S be the specific heat, the rise in temperature of the drop would be (J = Joule's equivalent of heat)

A

{tex} \frac { \sigma } { J r S \rho } {/tex}

B

{tex} \frac { 10 \sigma } { J r S \rho } {/tex}

C

{tex} \frac { 100 \sigma } { J r S \rho } {/tex}

{tex} \frac { 27 \sigma } { 10 J r S \rho } {/tex}

##### Explanation

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Q 11. {tex}1 {/tex} kg water of specific heat {tex}1 {/tex} {tex}\mathrm{ cal/gm } ^ { \circ } \mathrm { C } {/tex} is kept in a container at {tex} 10 ^ { \circ } \mathrm { C } {/tex}. If {tex}50 \mathrm { gm } {/tex} of ice at {tex} 0 ^ { \circ } \mathrm { C } {/tex} is required to cool down the water from {tex} 10 ^ { \circ } \mathrm { C } {/tex} to {tex} 0 ^ { \circ } \mathrm { C } , {/tex} the water equivalent of container is (Latent of fusion for ice {tex} = 80 {/tex} {tex}\mathrm{ cal/gm } {/tex} and specific heat of water is {tex}1 {/tex} {tex}\mathrm{ cal/gm } {/tex} {tex} ^ { \circ } \mathrm { C } ) {/tex}

A

1{tex}\mathrm { kg } {/tex}

B

2{tex}\mathrm { kg } {/tex}

3{tex}\mathrm { kg } {/tex}

D

{tex} \frac { 1 } { 2 } \mathrm { kg } {/tex}

##### Explanation

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Q 12. An iron tyre is to be fitted onto a wooden wheel {tex}1.0 \mathrm { m } {/tex} in diameter. The diameter of the tyre is {tex}6 \mathrm { mm } {/tex} smaller than that of wheel. The tyre should be heated so that its temperature increases by a minimum of (coefficient of volumetric expansion of iron is {tex} 3.6 \times 10 ^ { - 5 } / ^ { \circ } \mathrm { C } ) {/tex}

A

{tex} 167 ^ { \circ } \mathrm { C } {/tex}

B

{tex} 334 ^ { \circ } \mathrm { C } {/tex}

{tex} 500 ^ { \circ } \mathrm { C } {/tex}

D

{tex} 1000 ^ { \circ } \mathrm { C } {/tex}

##### Explanation

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Q 13. The ratio of coefficients of cubical expansion and linear expansion is

A

{tex} 1 : 1 {/tex}

{tex} 3 : 1 {/tex}

C

{tex} 2 : 1 {/tex}

D

None of these

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Q 14. The number of degrees of freedom for each atom of a monoatomic gas is

3

B

5

C

6

D

1

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Q 15. If the degrees of freedom of a gas molecule be {tex} f {/tex}, then the ratio of two specific heats {tex} C _ { p } / C _ { v } {/tex} is given by

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

B

{tex} 1 - \frac { 2 } { f } {/tex}

C

{tex} 1 + \frac { 1 } { f } {/tex}

D

{tex} 1 - \frac { 1 } { f } {/tex}

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Q 16. The internal energy {tex} U {/tex} is a unique function of any state because change in {tex} U {/tex}

does not depend upon path.

B

depends upon path.

C

D

corresponds to an isothermal process.

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Q 17. The rms speed of a gas molecule is

A

{tex} \sqrt { ( M / 3 R T ) } {/tex}

B

{tex} ( M / 3 R T ) {/tex}

{tex} \sqrt { ( 3 R T / M ) } {/tex}

D

{tex} ( 3 R T / M ) ^ { 2 } {/tex}

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Q 18. The graph between two temperature scales {tex} A {/tex} and {tex} B {/tex} is shown in Fig. between upper fixed point and lower fixed point there are 150 equal division on scale {tex} A {/tex} and 100 on scale {tex} B {/tex} . The relationship for conversion between the two scales is given by

A

{tex} \frac { t _ { A } - 180 } { 100 } = \frac { t _ { B } } { 150 } {/tex}

{tex} \frac { t _ { A } - 30 } { 150 } = \frac { t _ { B } } { 100 } {/tex}

C

{tex} \frac { t _ { B } - 180 } { 150 } = \frac { t _ { A } } { 100 } {/tex}

D

{tex} \frac { t _ { B } - 40 } { 100 } = \frac { t _ { A } } { 180 } {/tex}

##### Explanation

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Q 19. A wire suspended vertically from one of its ends is stretched by attaching a weight of {tex}200 \mathrm { N } {/tex} to the lower end. The weight stretches the wire by {tex}1 \mathrm { mm } {/tex} . The elastic energy stored in the wire is

A

0.2{tex} \mathrm { J } {/tex}

B

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

C

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

0.1{tex} \mathbf { J } {/tex}

##### Explanation

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Q 20. Air is blown through a hole on a closed pipe containing liquid. Then the pressure will

A

Increase on sides

B

Increase downwards

Increase in all directions

D

Never increases

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Q 21. A hemispherical bowl just floats without sinking in a liquid of density {tex} 1.2 \times 10 ^5\mathrm { kg } / \mathrm { m } {/tex}. If outer diameter and the density of the bowl are {tex} 1 \mathrm { m } {/tex} and {tex} 2 \times 10^4 \mathrm { kg } / \mathrm { m } {/tex} respectively, then the inner diameter of the bowl will be

A

{tex} 0.94 { m } {/tex}

B

{tex} 0.97 m {/tex}

{tex} 0.98 m {/tex}

D

{tex} 0.99 m {/tex}

##### Explanation

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Q 22. A thin metal disc of radius r floats on water surface and bends the surface downwards along the perimeter making an angle θ with vertical edge of disc. If the disc displaces a weight of water W and surface tension of water is T, then the weight of metal disc is

A

2πrT + W

B

2πrTcosθ - W

2πrTcosθ + W

D

W - 2πrTcosθ

##### Explanation

Weight of metal disc = total upward force

= upthrust force + force due to surface tension
= weight of displaced water + T cos θ (2π r)
= W + 2π rT cos θ

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Q 23. A 10 cm long wire is placed horizontally on the surface of water and is gently pulled up with a force of to keep the wire in equilibrium. The surface tension in Nm-1 of water is

0.1 N/m

B

0.2 N/m

C

0.001 N/m

D

0.002 N/m

##### Explanation

Force on wire due to surface tension

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Q 24. There is a horizontal film of soap solution. On it a thread is placed in the form of a loop. The film is pierced inside the loop and the thread becomes a circular loop of radius R. If the surface tension of the loop be T, then what will be the tension in the thread

A

B

C

2πRT

2RT

##### Explanation

Suppose tension in thread is F, then for small part Δl of thread
and

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Q 25. Two small drops of mercury, each of radius R, coalesce to form a single large drop. The ratio of the total surface energies before and after the change is

A

C

2 : 1

D

1 : 2

As

= 21/3