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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.

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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

corresponds to an adiabatic process.

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. Water rises in a vertical capillary tube up to a height of 2.0 cm. If the tube is inclined at an angle of 60 degrees with the vertical, then up to what length the water will rise in the tube

A

2.0 cm

4.0 cm

C

cm

D

0 cm

Explanation

The height upto which water will rise . [h = vertical height, α = angle with vertical]

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Q 21. The coefficient of thermal conductivity of copper is nine times that of steel. In the composite cylindrical bar shown in the figure. What will be the temperature at the junction of copper and steel

750C

B

670C

C

330C

D

250C

Explanation

K1 = 9K2, l1 = 18 cm, l2 = 6 cm, θ1 = 100oC, θ2 = 0oC
Temperature of the junction

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Q 22. Certain substance emits only the wavelengths and when it is at a high temperature. When this substance is at a colder temperature, it will absorb only the following wavelengths

A

B

C

and

and

Explanation

If a body emits wavelength λ1, λ2, λ3 and λ4 at a high temperature then at a lower temperature it will absorbs the radiation of same wavelength. This is in accordance with Kirchoff's law.

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Q 23. 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}. Then the elastic energy stored in the wire is

A

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

B

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

C

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

{tex} 0.1 \mathrm { J } {/tex}

Explanation



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Q 24. A wire fixed at the upper end stretches by length {tex} l {/tex} by applying a force {tex} F {/tex}. The work done in stretching is

A

{tex} F / 2 l {/tex}

B

{tex} F l {/tex}

C

{tex} 2 F l {/tex}

{tex} F l / 2 {/tex}

Explanation


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Q 25. Spherical balls of radius {tex} R {/tex} are falling in a viscous fluid of viscosity {tex} \eta {/tex} with a velocity {tex} v {/tex}. The retarding viscous force acting on the spherical ball is

A

directly proportional to {tex} R {/tex} but inversely proportional to {tex} v {/tex}

directly proportional to both radius {tex} R {/tex} and velocity {tex} v {/tex}

C

inversely proportional to both radius {tex} R {/tex} and velocity {tex} v {/tex}

D

inversely proportional to {tex} R {/tex} but directly proportional to velocity {tex} v {/tex}

Explanation