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

Correct Marks 4

Incorrectly Marks -1

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

Correct Marks 4

Incorrectly Marks -1

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

Correct Marks 4

Incorrectly Marks -1

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

Correct Marks 4

Incorrectly Marks -1

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

Correct Marks 4

Incorrectly Marks -1

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

A

B

D

Correct Marks 4

Incorrectly Marks -1

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

Correct Marks 4

Incorrectly Marks -1

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

Correct Marks 4

Incorrectly Marks -1

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}

Correct Marks 4

Incorrectly Marks -1

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

Correct Marks 4

Incorrectly Marks -1

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

Correct Marks 4

Incorrectly Marks -1

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

Correct Marks 4

Incorrectly Marks -1

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

Correct Marks 4

Incorrectly Marks -1

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

Correct Marks 4

Incorrectly Marks -1

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

3

B

5

C

6

D

1

Correct Marks 4

Incorrectly Marks -1

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}

Correct Marks 4

Incorrectly Marks -1

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.

Correct Marks 4

Incorrectly Marks -1

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}

Correct Marks 4

Incorrectly Marks -1

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

Correct Marks 4

Incorrectly Marks -1

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

Correct Marks 4

Incorrectly Marks -1

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

Correct Marks 4

Incorrectly Marks -1

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

Correct Marks 4

Incorrectly Marks -1

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

Correct Marks 4

Incorrectly Marks -1

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

Correct Marks 4

Incorrectly Marks -1

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

Correct Marks 4

Incorrectly Marks -1

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