JEE Main > Properties of Bulk Matter

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 popular teachers.


Q 1.    

Correct4

Incorrect-1

A cylinder of height {tex} 20 \mathrm { m } {/tex} is completely filled with water. The velocity of efflux of water (in {tex} \left. \mathrm { ms } ^ { - 1 } \right) {/tex} through a small hole on the side wall of the cylinder near its bottom is

A

10

20

C

25.5

D

5

Explanation

Q 2.    

Correct4

Incorrect-1

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



Q 3.    

Correct4

Incorrect-1

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


Q 4.    

Correct4

Incorrect-1

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



Q 5.    

Correct4

Incorrect-1

If two soap bubbles of different radii are connected by a tube,

A

air flows from the bigger bubble to the smaller bubble till the sizes become equal

B

air flows from bigger bubble to the smaller bubble till the sizes are interchanged

air flows from the smaller bubble to the bigger

D

there is no flow of air.

Explanation



Q 6.    

Correct4

Incorrect-1

A {tex} 20 \mathrm {\ cm } {/tex} long capillary tube is dipped in water. The water rises up to {tex} 8 \mathrm {\ cm } {/tex}. If the entire arrangement is put in a freely falling elevator the length of water column in the capillary tube will be

A

{tex} 4 \mathrm {\ cm } {/tex}

{tex} 20 \mathrm {\ cm } {/tex}

C

{tex} 8 \mathrm {\ cm } {/tex}

D

{tex} 10 \mathrm {\ cm } {/tex}

Explanation


Q 7.    

Correct4

Incorrect-1

If {tex} S {/tex} is stress and {tex} Y {/tex} is Young's modulus of material of a wire, the energy stored in the wire per unit volume is

A

{tex} 2 Y / S {/tex}

B

{tex} S / 2 Y {/tex}

C

{tex} 2 S ^ { 2 } Y {/tex}

{tex} \frac { S ^ { 2 } } { 2 Y } {/tex}

Explanation



Q 8.    

Correct4

Incorrect-1

If the terminal speed of a sphere of gold (density {tex} \left. = 19.5 \mathrm { kg } / \mathrm { m } ^ { 3 } \right) {/tex} is {tex} 0.2 \mathrm { m } / \mathrm { s } {/tex} in a viscous liquid (density {tex} \left. = 1.5 \mathrm { kg } / \mathrm { m } ^ { 3 } \right) {/tex} find the terminal speed of a sphere of silver (density {tex} 10.5 \mathrm { kg } / \mathrm { m } ^ { 3 } {/tex} ) of the same size in the same liquid

A

{tex} 0.2 \mathrm { m } / \mathrm { s } {/tex}

B

{tex} 0.4 \mathrm { m } / \mathrm { s } {/tex}

C

{tex} 0.133 \mathrm { m } / \mathrm { s } {/tex}

{tex} 0.1 \mathrm { m } / \mathrm { s } {/tex}

Explanation



Q 9.    

Correct4

Incorrect-1

A wire elongates by {tex} l \mathrm {\ mm } {/tex} when a load {tex} W {/tex} is hanged from it. If the wire goes over a pulley and two weights {tex} W {/tex} each are hung at the two ends, the elongation of the wire will be (in {tex} \mathrm {\ mm } {/tex} )

A

{tex} l/2{/tex}

{tex} {l} {/tex}

C

{tex} 2l {/tex}

D

{tex}Zero.{/tex}

Explanation



Q 10.    

Correct4

Incorrect-1

A jar is filled with two non-mixing liquids I and 2 having densities {tex}\rho_1{/tex} and {tex}\rho_2{/tex} respectively. A solid ball, made of a material of density {tex}\rho_3{/tex} , is dropped in the jar. It comes to equilibrium in the position shown in the figure. Which of the following is true for {tex}\rho_1{/tex} , {tex}\rho_2{/tex} and {tex}\rho_3{/tex} ?

{tex} \rho _ { 1 } < \rho _ { 3 } < \rho _ { 2 } {/tex}

B

{tex} \rho _ { 3 } < \rho _ { 1 } < \rho _ { 2 } {/tex}

C

{tex} \rho _ { 1 } > \rho _ { 3 } > \rho _ { 2 } {/tex}

D

{tex} \rho _ { 1 } < \rho _ { 2 } < \rho _ { 3 } {/tex}

Explanation

Q 11.    

Correct4

Incorrect-1

A spherical solid ball of volume {tex} V {/tex} is made of a material of density {tex} \rho _ { 1 } . {/tex} It is falling through a liquids of density {tex} \rho _ { 2 } \left( \rho_{2} < \rho _ { 1 } \right) . {/tex} Assume that the liquidapplies a viscous force on the ball that is proportional to the square of its speed {tex} v , {/tex} i.e., {tex} F _ { \text {viscous } } = - k v ^ { 2 } ( k > 0 ) {/tex}. The terminal speed of the ball is

A

{tex} \frac { V g \left( \rho _ { 1 } - \rho _ { 2 } \right) } { k } {/tex}

{tex} \sqrt { \frac { V g \left( \rho _ { 1 } - \rho _ { 2 } \right) } { k } } {/tex}

C

{tex} \frac { V g \rho _ { 1 } } { k } {/tex}

D

{tex} \sqrt { \frac { V g \rho _ { 1 } } { k } } {/tex}

Explanation

Q 12.    

Correct4

Incorrect-1

A capillary tube {tex} ( A ) {/tex} is dipped in water. Another identical tube {tex} ( B ) {/tex} is dipped in a soap-water solution. Which of the following shows the relative nature of the liquid columns in the two tubes?

A

B

C

Explanation


Q 13.    

Correct4

Incorrect-1

The length of an iron wire is {tex} L {/tex} and area of cross-section is {tex} A {/tex}. The increase in length is {tex} l {/tex} on applying the force {tex} F {/tex} on its two ends. Which of the statement is correct

A

Increase in length is inversely proportional to its length {tex} L {/tex}

B

Increase in length is proportional to area of cross-section {tex} A {/tex}

Increase in length is inversely proportional to {tex}\mathrm A {/tex}

D

Increase in length is proportional to Young's modulus

Explanation

Q 14.    

Correct4

Incorrect-1

The increase in length is {tex} l {/tex} of a wire of length {tex} L {/tex} by the longitudinal stress. Then the stress is proportional to

A

{tex} L / l {/tex}

{tex} l / L {/tex}

C

{tex} l \times L {/tex}

D

{tex} l ^ { 2 } \times L {/tex}

Explanation

Q 15.    

Correct4

Incorrect-1

The dimensions of four wires of the same material are given below.
In which wire the increase in length will be maximum when the same tension is applied

A

Length {tex} 100 \mathrm { cm } , {/tex} Diameter {tex} 1 \mathrm { mm } {/tex}

B

Length {tex} 200 \mathrm { cm } , {/tex} Diameter {tex} 2 \mathrm { mm } {/tex}

C

Length {tex} 300 \mathrm { cm } , {/tex} Diameter {tex} 3 \mathrm { mm } {/tex}

Length {tex} 50 \mathrm { cm } , {/tex} Diameter {tex} 0.5 \mathrm { mm } {/tex}

Explanation


Q 16.    

Correct4

Incorrect-1

The ratio of the lengths of two wires {tex} A {/tex} and {tex} B {/tex} of same material is {tex}\mathrm 1: 2 {/tex} and the ratio of their diameter is {tex}\mathrm 2: 1. {/tex} They are stretched by the same force, then the ratio of increase in length will be

A

2:1

B

1:4

1:8

D

8:1

Explanation

Q 17.    

Correct4

Incorrect-1

The Young's modulus of a wire of length {tex} L {/tex} and radius {tex} r {/tex} is {tex} Y N / m . {/tex} If the length and radius are reduced to {tex} L / 2 {/tex} and {tex} r / 2 , {/tex} then its Young's modulus will be

A

{tex} Y/2 {/tex}

{tex} Y {/tex}

C

{tex} 2 Y {/tex}

D

{tex} 4 Y {/tex}

Explanation

Q 18.    

Correct4

Incorrect-1

A beam of metal supported at the two ends is loaded at the centre. The depression at the centre is proportional to

A

{tex} Y ^ { 2 } {/tex}

B

{tex} \mathcal { Y } {/tex}

{tex} 1 / Y {/tex}

D

{tex} 1 / Y ^ { 2 } {/tex}

Explanation


Q 19.    

Correct4

Incorrect-1

When a certain weight is suspended from a long uniform wire, its length increases by one {tex} \mathrm { cm } {/tex}. If the same weight is suspended from another wire of the same material and length but having a diameter half of the first one then the increase in length will be

A

{tex} 0.5 \mathrm { cm } {/tex}

B

{tex} 2 \mathrm { cm } {/tex}

{tex} 4 \mathrm { cm } {/tex}

D

{tex} 8 \mathrm { cm } {/tex}

Explanation

Q 20.    

Correct4

Incorrect-1

Hook's law defines

A

Stress

B

Strain

Modulus of elasticity

D

Elastic limit

Explanation

Q 21.    

Correct4

Incorrect-1

A wire is loaded by {tex} 6 \mathrm { kg } {/tex} at its one end, the increase in length is {tex} 12 \mathrm { mm } {/tex} . If the radius of the wire is doubled and all other magnitudes are unchanged, then increase in length will be

A

{tex} 6 \mathrm { mm } {/tex}

{tex} 3 \mathrm { mm } {/tex}

C

{tex} 24 \mathrm { mm } {/tex}

D

{tex} 48 \mathrm { mm } {/tex}

Explanation

Q 22.    

Correct4

Incorrect-1

The area of cross-section of a wire of length {tex} 1.1 \mathrm { metre } {/tex} is {tex} 1 \mathrm { mm } {/tex}. It is loaded with {tex} 1 \mathrm { kg } {/tex}. If Young's modulus of copper is {tex} 1.1 \times 10 ^ { 11 } \mathrm { N } / \mathrm { m } ^ { 2 } {/tex}, then the increase in length will be (if {tex} \left. g = 10 \mathrm { m } / \mathrm { s } ^ { 2 } \right) {/tex}

A

{tex} 0.01 \mathrm { mm } {/tex}

B

{tex} 0.075 \mathrm { mm } {/tex}

{tex} 0.1 \mathrm { mm } {/tex}

D

0. {tex} 15 \mathrm { mm } {/tex}

Explanation

Q 23.    

Correct4

Incorrect-1

On increasing the length by {tex} 0.5 \mathrm { mm } {/tex} in a steel wire of length {tex} 2 \mathrm { m } {/tex} and area of cross-section {tex} 2 \mathrm { mm } ^ { 2 } {/tex}, the force required is {tex} [ \mathrm { Y } {/tex} for steel {tex} \left. = 2.2 \times 10 ^ { 11 } \mathrm { N } / \mathrm { m } ^ { 2 } \right]] {/tex}

A

{tex} 1.1 \times 10 ^ { 5 } N {/tex}

B

{tex} 1.1 \times 10 ^ { 4 } N {/tex}

C

{tex} 1.1 \times 10 ^ { 3 } N {/tex}

{tex} 1.1 \times 10 ^ { 2 } N {/tex}

Explanation

Q 24.    

Correct4

Incorrect-1

If Young's modulus of iron is {tex} 2 \times 10 ^ { 11 } \mathrm { N } / \mathrm { m } ^ { 2 } {/tex} and the interatomic spacing between two molecules is {tex} 3 \times 10 ^ { - 10 } {/tex} metre, the interatomic force constant is

{tex} 60 \mathrm { N } / \mathrm { m } {/tex}

B

{tex} 120 \mathrm { N } / \mathrm { m } {/tex}

C

{tex} 30 \mathrm { N } / \mathrm { m } {/tex}

D

{tex} 180 \mathrm { N } / \mathrm { m } {/tex}

Explanation

Q 25.    

Correct4

Incorrect-1

In CGS system, the Young's modulus of a steel wire is {tex} 2 \times 10 ^ { 12 } . {/tex} To double the length of a wire of unit cross-section area, the force required is

A

{tex} 4 \times 10 ^ { 6 } {/tex} dynes

{tex} 2 \times 10 ^ { 12 } {/tex} dynes

C

{tex} 2 \times 10 ^ { 12 } {/tex} newtons

D

{tex} 2 \times 10 ^ { 8 } {/tex} dynes

Explanation