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Some Mechanical Properties of Matter — JEE Main & Advanced Physics PYQs

87 previous year questions from Some Mechanical Properties of Matter with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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1

A load of 10 kg is suspended by a metal wire that is 3 m long and possesses a cross-sectional area of 4 mm ^2 . Determine the stress. The Young modulus of the metal is 2.0 10¹¹ N/m

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A vertical metal cylinder of radius 2 cm and length 2 m is fixed at its lower end, and a load of 100 kg is placed on it. Determine the stress. The Young modulus of the metal is 2 1

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A vertical metal cylinder of radius 2 cm and length 2 m is fixed at its lower end, and a load of 100 kg is placed on it. Determine the strain. The Young modulus of the metal is 2 1

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A load of 10 kg is suspended by a metal wire that is 3 m long and possesses a cross-sectional area of 4 mm ^2 . Determine the strain. The Young modulus of the metal is 2.0 10¹¹ N/m

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A load of 10 kg is suspended by a metal wire that is 3 m long and possesses a cross-sectional area of 4 mm ^2 . Determine the elongation. The Young modulus of the metal is 2.0 10¹¹

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A vertical metal cylinder of radius 2 cm and length 2 m is fixed at its lower end, and a load of 100 kg is placed on it. Determine the compression of the cylinder. The Young modulu

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Steel has an elastic limit of 8 10^8 N/m ^2 and a Young modulus of 2 10¹¹ N/m ^2 . Determine the maximum elongation that can be produced in a half-metre steel wire without exceedin

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A steel wire and a copper wire, both possessing equal length and equal cross-sectional area, are joined end to end and the combination is subjected to a tension. Determine the rati

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A steel wire and a copper wire, both possessing equal length and equal cross-sectional area, are joined end to end and the combination is subjected to a tension. Determine the rati

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As illustrated in the figure, the upper wire is constructed from steel and the lower wire from copper. Both wires possess an equal cross section. Determine the ratio of the longitu

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The two wires depicted in the figure are constructed from the same material, which possesses a breaking stress of 8 imes 10^8 N/m ^2 . The cross-sectional area of the upper wire is

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An upper wire hangs from a ceiling and supports a mass m₂ = 36 kg . A lower wire hangs from m₂ and supports a mass m₁ = 10 kg . A light hanger is attached below m₁ . Both wires are

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Two persons are pulling a rope towards themselves. Each person applies a force of 100 N on the rope. Determine the Young modulus of the rope's material if it extends in length by 1

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A steel rod with a length of 2 m and a cross-sectional area of 4 cm ^2 shrinks by 0.1 cm as the temperature decreases during the night. Determine the tension developed in the rod d

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Consider the setup illustrated in the figure. The applied force F is equal to m₂ g/2 . Assuming the string is light and there is no friction present anywhere, determine the strain

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A steel wire with an initial length of 1 m and a cross-sectional area of 4.00 mm ^2 is secured at both ends such that it remains horizontal and tension-free. When a 2.16 kg load is

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A metal wire of unstretched length 4 m and diameter 1 mm suspends a sphere of mass 20 kg . At equilibrium, a clear gap of 2 mm is present between the sphere and the floor. The sphe

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Determine the decrease in the cross-sectional area of a copper wire having an initial cross-sectional area of 0.01 cm ^2 that is subjected to a tension of 20 N . The Young modulus

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Determine the increase in pressure needed to reduce the volume of a water sample by 0.01 % . The bulk modulus of water is 2.1 10^9 N/m ^2 .

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Determine the estimated change in the density of water in the ocean at a depth of 400 m below the surface. The density of water at the surface is 1030 kg/m ^3 and the bulk modulus

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The lower surface of a steel plate having a face area of 4 cm ^2 and a thickness of 0.5 cm is fixed rigidly. A tangential force of 10 N is applied to the upper surface. Determine t

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A straight piece of thread, 5.0 cm in length, is placed on the surface of water. Determine the force with which the surface on one side of the thread pulls it. The surface tension

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Determine the excess pressure inside a drop of mercury having a radius of 2 mm . The surface tension of mercury is given as 0.465 N/m .

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Determine the excess pressure inside a soap bubble having a radius of 4 mm . The surface tension of the soap solution is given as 0.03 N/m .

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Determine the excess pressure inside an air bubble of radius 4 mm formed within a tank of water. The surface tension of water is given as 0.076 N/m .

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Consider a small surface area of 1 mm ^2 at the top of a mercury drop of radius 4.0 mm . Determine the force exerted on this area by the air above it. Atmospheric pressure is 1.0 1

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Consider a small surface area of 1 mm ^2 at the top of a mercury drop of radius 4.0 mm . Determine the force exerted on this area by the mercury below it. Atmospheric pressure is 1

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Consider a small surface area of 1 mm ^2 at the top of a mercury drop of radius 4.0 mm . Determine the force exerted on this area by the mercury surface in contact with it. Atmosph

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The capillaries displayed in the figure possess inner radii of 0.5 mm , 1.0 mm and 1.5 mm respectively. The liquid contained within the beaker is water. Determine the heights of th

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A capillary tube has its lower end immersed in mercury, and the mercury level inside the tube is observed to be 2 cm below the outside level. If this identical tube is immersed in

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A barometer is constructed using a tube of radius 1.0 mm . Assuming the surface of the mercury in the tube has a spherical shape, determine the height raised in the barometer tube

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A capillary tube with a radius of 0.50 mm is vertically dipped into a pot of water. Find the difference between the pressure of the water inside the tube 5.0 cm below the surface a

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Determine the surface energy of water contained in a cylindrical vessel with a radius of 6.0 cm . The surface tension of water is 0.075 J/m ^2 .

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A drop of mercury of radius 2 mm is split into 8 identical droplets. Determine the increase in surface energy. The surface tension of mercury is 0.465 J/m ^2 .

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A capillary tube of radius 1 mm is held vertical with the lower end in water. Determine the height of water raised in the capillary. If the length of the capillary tube is half of

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The lower end of a capillary tube of radius 1 mm is dipped vertically into mercury. Determine the depression of the mercury column in the capillary. Furthermore, if the length dipp

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Two large glass plates are placed vertically and parallel to one another inside a tank of water, with a separation of 1 mm between the plates. Determine the rise of water in the sp

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Consider an ice cube of edge 1.0 cm placed in a gravity-free hall. Determine the surface area of the water after the ice melts. Ignore the difference in densities between ice and w

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 39

A wire forming a loop is submerged into a soap solution and removed, establishing a film of soap solution. A loop of thread 6.28 cm long is gently placed on the film, and the film

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Falling vertically in glycerine, a metal sphere has a mass of 50 mg and a radius of 1 mm . The coefficient of viscosity for glycerine at room temperature is 8.0 poise and its densi

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Falling vertically in glycerine, a metal sphere has a mass of 50 mg and a radius of 1 mm . The coefficient of viscosity for glycerine at room temperature is 8.0 poise and its densi

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 42

Falling vertically in glycerine, a metal sphere has a mass of 50 mg and a radius of 1 mm . The coefficient of viscosity for glycerine at room temperature is 8.0 poise and its densi

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 43

Using the following data, estimate the speed of vertically falling raindrops: radius of the drops = 0.02 cm , viscosity of air = 1.8 10⁻⁴ poise , g = 10 m/s ^2 , and density of wat

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Water flows at a speed of 6 cm/s through a tube having a radius of 1 cm . The coefficient of viscosity of water at room temperature is 0.01 poise . Compute the Reynolds number and

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A rope of diameter 1 cm breaks when the tension applied exceeds 500 N . Determine the maximum tension that a similar rope with a diameter of 2 cm can withstand.

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Consider two wires, A and B , composed of the same material. Wire A possesses a length l and diameter r , whereas wire B has a length 2l and diameter r/2 . When both wires are stre

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When a load W is suspended from a wire, it elongates by 1.0 mm . If this same wire is passed over a pulley and a weight W is attached to each of its two ends, the total elongation

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 48

The breaking stress of a wire is dependent on

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Before breaking, a wire is able to sustain a weight of 20 kg . If the wire is cut into two equal parts, each part can sustain a weight of

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A heavy uniform rod hangs vertically from a fixed support and undergoes stretching due to its own weight. The diameter of this rod is

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 51

As a metal wire is stretched by a load, the fractional change in its volume V V is proportional to

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A metal wire has a length of l₁ when subjected to a tension T₁ , and a length of l₂ when the tension is T₂ . The natural length of the wire is

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A heavy mass is fastened to a thin wire and whirled in a vertical circle. The wire is most likely to break

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As a metal wire elongates due to a load suspended from it, the gravitational potential energy decreases.

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When we speak of the surface of a liquid, we are referring to

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Within a gravity-free hall, an ice cube is suspended in a vacuum. As the ice melts, it

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 57

As water droplets combine to form a larger drop,

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The dimensional formula ML⁻¹T⁻² can represent

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Air is pumped into a soap bubble of radius r , doubling its radius. Given that the surface tension of the soap solution is S , the work done during this process is

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When additional air is forced into a soap bubble, the pressure inside it

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

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A capillary tube of radius r is immersed in water, as shown in the figure. Given that the atmospheric pressure is P₀ , what is the pressure at point A ?

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The excess pressure within a soap bubble is twice the excess pressure within a second soap bubble. If the volume of the first bubble is n times the volume of the second bubble, the

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Which of the graphs below could represent the relationship between the capillary rise h and the radius r of the capillary?

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Water ascends to a length of 10 cm in a vertical capillary tube. If the tube is inclined at 45^ , the length of water risen in the tube will be

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A capillary tube 20 cm long is dipped in water, causing the water to rise up to 8 cm . If the complete arrangement is placed inside a freely falling elevator, determine the length

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Viscosity is a characteristic of

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Fundamentally, the force of viscosity is

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The viscous force present between two layers of a liquid is expressed as F A = - dv dz . The quantity F/A can be referred to as

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A raindrop descending near the surface of the earth maintains an almost uniform velocity because

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A piece of wood is submerged deep inside a long column of water and released. It will move upwards

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When a spherical ball is dropped into a long column of a viscous liquid, its speed as a function of time is best represented by the graph

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 73

When falling in air, a solid sphere reaches a terminal velocity of 20 m/s . If it is instead allowed to fall in a vacuum,

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 74

The rise of a liquid inside a capillary tube is dependent on

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 75

While determining the Young modulus of a metal wire, a student plots a graph from the recorded readings but omits the axis labels. As shown in the figure, the quantities on the X a

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 76

The contact angle formed between a solid and a liquid depends on

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 77

A vertical tube with a semicircular cross section contains a liquid, as shown in the figure. The contact angle is zero. The ratio of the surface tension force acting on the curved

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 78

Upon dipping a capillary tube into a liquid, the liquid level neither rises nor falls within the capillary.

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At a location where g = 9.8 m/s ^2 , a solid sphere falls through air with a terminal velocity of 20 m/s . The sphere is subsequently brought into a gravity-free hall containing ai

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 80

The properties of a surface differ from those of the bulk liquid because the surface molecules

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 81

The rise of a liquid inside a capillary tube is dependent on

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 82

The contact angle formed between a solid and a liquid depends on

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 83

While determining the Young modulus of a metal wire, a student plots a graph from the recorded readings but omits the axis labels. As shown in the figure, the quantities on the X a

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 84

At a location where g = 9.8 m/s ^2 , a solid sphere falls through air with a terminal velocity of 20 m/s . The sphere is subsequently brought into a gravity-free hall containing ai

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 85

The properties of a surface differ from those of the bulk liquid because the surface molecules

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 86

Upon dipping a capillary tube into a liquid, the liquid level neither rises nor falls within the capillary.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 87

A vertical tube with a semicircular cross section contains a liquid, as shown in the figure. The contact angle is zero. The ratio of the surface tension force acting on the curved

Concepts Of Physics MCQ Edition [Volume 1] Solution View →
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