Question 1 : If a rubber ball is taken at the depth of {tex} 200 \mathrm { m } {/tex} in a pool, its volume decreases by {tex} 0.1 \% {/tex}. If the density of the water is {tex} 1 \times 10 ^ { 3 } \mathrm { kg } / \mathrm { m } ^ { 3 } {/tex} and {tex} g = 10 \mathrm { m } / \mathrm { s } ^ { 2 } , {/tex} then the volume elasticity in {tex} \mathrm { N } / \mathrm { m } ^ { 2 } {/tex} will be

Question 2 : {tex}\mathrm{Assertion}{/tex} : To float, a body must displace liquid whose weight is greater than the actual weight of the body.<br>{tex} \mathrm{Reason}: {/tex} The body will experiences no net downward force, in the case of floating. <br>

Question 3 : The following four wires are made of the same material. Which of these will have the largest extension, when the same tension is applied?

Question 4 : A boat with wood is floating in a lake. If the wood is thrown in the lake, the water level will

Question 5 : Two blocks {tex} A {/tex} and {tex} B {/tex} made of iron and aluminium, respectively, have exactly the same weight. They are completely immersed in water and weighed. If the densities of iron and aluminium are {tex}8000 \mathrm { kg } / \mathrm { m } ^ { 3 } {/tex} and {tex} 2700 \mathrm { kg } / \mathrm { m } ^ { 3 } , {/tex} then

Question 6 : A brass rod of cross-sectional area {tex} 1 \mathrm { cm } ^ { 2 } {/tex} and length {tex} 0.2 \mathrm { m } {/tex} is compressed lengthwise by a weight of {tex} 5 \mathrm { kg } {/tex}. If Young's modulus of elasticity of brass is {tex} 1 \times 10 ^ { 11 } \mathrm { N } / \mathrm { m } ^ { 2 } {/tex} and {tex} g = 10 \mathrm { m } / \mathrm { sec } ^ { 2 } {/tex}, then increase in the energy of the rod will be

Question 7 : A load {tex} W {/tex} produces an extension of {tex} 1 \mathrm { mm } {/tex} in a thread of radius {tex} r . {/tex} Now if the load is made {tex} 4 \mathrm { W } {/tex} and radius is made {tex} 2 \mathrm { r } {/tex} all other things remaining same, the extension will become

Question 8 : We have three beakers {tex} A , B {/tex} and {tex} C {/tex} containing glycerine, water and kerosene respectively. They are stirred vigorously and placed on a table. The liquid which comes to rest at the earliest is

Question 9 : Water rises up to a height h in a capillary on the surface of earth in a stationary condition. Value of h increases if this tube is taken

Question 10 : The deformation of a wire under its own weight compared to the deformation of same wire subjected to a load equal to weight of the wire is

Question 11 : A steel wire of uniform cross-section of 1 m² is heated to 70&#176;C and stretched by tying its two ends rigidly. What is the change in the tension of the wire when the temperature falls from 70&#176;C to 35&#176;C? Coefficient of linear expansion of steel is 1.1 &acute; 10^-5 /&#176;C and Young's modulus is 2.0&acute;10¹¹N/m².

Question 12 : {tex} K {/tex} is the force constant of a spring. The work done in increasing its extension from {tex} l _ { 1 } {/tex} to {tex} l _ { 2 } {/tex}, will be

Question 13 : A tank of base area 4 m² is initially filled with water up to height 2 m. An object of uniform cross-section 2 m² and height 1 m is now suspended by wire into the tank, keeping distance between base of tank and that of object 1 m. Density of the object is 2000kg/m³. Take atmospheric pressure 1 &times; 10⁵N/m²; g = 10 m/s²<br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e761d594389b1556ddf2404' height='147' width='236' ><br>The buoyant force on the object is :

Question 15 : There are two identical small holes on the opposite sides of a tank containing a liquid. The tank is open at the top. The difference in height between the two holes is <em>h</em>. As the liquid comes out of the two holes, the tank will experience a net horizontal force proportional to<img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16ca18bfef6349df0100f1" />

Question 16 : A container has two immiscible liquids of densities ρ₁ and ρ₂ (> ρ₁). A capillary tube of radius <em>r</em> is inserted in the liquid so that its bottom reaches upto the denser liquid. The denser liquid rises in the capillary and attains a height <em>h</em> from the interface of the liquids, which is equal to the column length of the lighter liquid. Assuming angle of contact to be zero, the surface tension of heavier liquid is <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16c9e6f1a5a149feab9c9e" />

Question 17 : The bulk modulus of rubber is 9.8 <font face="Symbol">&times;</font> 10⁸ N/m². To what depth a rubber ball be taken in a lake so that its volume is decreased by 0.1%?

Question 18 : {tex} \mathrm { Assertion } :\quad {/tex} Bulk modulus of elasticity {tex} (K) {/tex} represents incompressibility of the material.<br>{tex} \mathrm { Reason} :\quad {/tex} Bulk modulus of elasticity is proportional to change in pressure.

Question 19 : A uniform cube is subjected to volume compression. If each side is decreased by {tex} 1 \% , {/tex} then bulk strain is

Question 20 : If a small sphere is let to fall vertically in a large quantity of a still liquid of density smaller than that of the material of the sphere

Question 21 : Temperature of a gas is $20^{0}\mathrm{C}$ and pressure is changed from $1.01\times 10^{5}$ Pa to $1.165\times 10^5\mathrm{P}\mathrm{a}$. If volume is decreased isothermally by 10%. The bulk modulus of gas is (in $Pa$):<br/><br/>

Question 22 : A rubber ball is brought into 200 m deep water, its volume is decreased by 0.1% then volume elasticity coefficient of the material of ball will be:<br/>$(Given\ \rho = 10^3 kg/m^3$ and $ g = 9.8 ms^{-2})$

Question 23 : A sample of a liquid has an initial volume of $1.5 L$. The volume is reduced by $0.2 mL,$ when the pressure increases by $140 kPa$. What is the bulk modulus of the liquid.<br/><br/>

Question 24 : Two wires of different material and radius have their length in ratio of $1:2.$ if these were stretched by the same force$,$ the strain produced will be in the ratio$.$

Question 25 : When an elastic material with Young's modulus Y is subjected to stretching stress S, elastic energy stored per unit volume of the material is

Question 26 : If a rubber ball is taken down to a 100 m deep lake, its volume decreases by 0.1%. If $g=10\quad m/{ s }^{ 2 }$ then the bulk modulus of elasticity for rubber, in N/${ m }^{ 2 }$, is