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Questions >> JEEMAIN and NEET >> Physics >> Class11 >> Mechanical Properties of Solids

A wire of length L and cross-sectional area A is made of material of Young's modulus Y. The work done in stretching the wire by an amount x is given by

answered Feb 1, 2020 by kg720609

2 answers

A body is strained within elastic limits .Show that work done , in the process is 1/2 x stress x strain .

answered Mar 20, 2015 by sharmaaparna1

1 answer

The displacement x of a particle at the instant when its velocity is v is given by $v = \sqrt {3x+16}$ . Its acceleration and initial velocity are

answered Aug 19, 2014 by meena.p

1 answer

A water tank is constructed on the top of a building with what speed will the water come out of a tank 8m below the water level the tank?Assume steady flow and that the pressure above the water level is equal to $P_{atm}$ .

answered May 12, 2014 by sreemathi.v

1 answer

The profile of a dam is an arc of a circle,the arc having a radius of 30m and subtending an angle of $60^{\large\circ}$ at the centre of curvature which lies in the water surfaces.Determine the load on the dam in N/m

answered May 12, 2014 by sreemathi.v

1 answer

A tank with vertical sides is square in plane with 3m long sides.The tank contains oil of relative density 0.9 to a depth of 2.0m which is floating on water a depth of 1.5m.Calculate the force on the walls.(Consider one wall of the tank).

answered May 12, 2014 by sreemathi.v

1 answer

A closed tank has an orifice $0.025m$ diameter in one of its vertical sides.The tank contains oil to a depth of 0.61m above the centre of the orifice and the pressure in the air space above oil is maintained at $13780N/m^2$ above atmospheric.What is the discharge from the orifile.(Coefficient of discharge of the orifice is 0.61 relative density of oil is 0.9)

answered May 12, 2014 by sreemathi.v

1 answer

The face of a dam is vertical to a depth of 17m below the water surface from slopes at $60^{\large\circ}$ to the vertical.If the depth of water is 7.5m.What is the $F_{resultant}$ on the whole face?

answered May 9, 2014 by sreemathi.v

1 answer

What height would a water barometer need to be to measure atmospheric pressure?

answered May 9, 2014 by sreemathi.v

1 answer

At what depth below the surface of oil,relative density 0.8,will produce a pressure of $120KN/m^2$ ?

answered May 9, 2014 by sreemathi.v

1 answer

What will the absolute pressure of water at depth 12m below the surface? $(\rho_{water}=1000Kg/m^3,P_{atm}=101KN/m^2)$

answered May 9, 2014 by sreemathi.v

1 answer

Water flows in a horizontal tube as shown in figure.The pressure of water changes by $600N/m^2$ between A and B where the areas of cross section are $30cm^2$ and $15cm^2$ respectively.Find the rate of flow of water through the tube

answered May 9, 2014 by sreemathi.v

1 answer

A metal piece of mass 160g lies in equlibrium inside a glass of $H_2O$ .The piece touches the bottom of the glass at a small number of points.If the density of the metal is $8000Kg/m^3$ .Find the normal force exerted by the bottom of the glass on the metal piece

answered May 9, 2014 by sreemathi.v

1 answer

The area of cross section of the wider tube shown in figure is $900cm^2$ .If the boy standing on the piston weights 45Kg then difference in the levels of water in the two tubes are ( $\rho_{water}=1000Kg/m^3)$

answered May 9, 2014 by sreemathi.v

1 answer

In a test experiment on a model aeroplane in a wind tunnel,the flow speeds on the upper and lower surfaces of the wing are $70ms^{-1}$ respectively.What is the lift on the wing if its area is $2.5m^2$ ?Take the density of air to be $1.3Kgm^{-3}$

answered May 9, 2014 by sreemathi.v

1 answer

A U-tube contains water and methylated spirit separated by mercury.The mercury columns in the two arms are in level with 10cm of water in one arm & 12.5cm of spirit in the other.What is specific gravity of spirit ?

answered May 9, 2014 by sreemathi.v

1 answer

In Milikan's oil drop experiment,what is the terminal speed of an uncharged drop of radius $2\times 10^{-5}m$ and density $1.2\times 10^3Kgm^{-3}$ ?Take the viscocity of air at the temperature of the experiment is $1.8\times 10^{-5}pas$ .How much is the viscous force on the drop at the speed?Neglect byoyancy of the drop due to air.

answered May 9, 2014 by sreemathi.v

1 answer

What is the pressure inside the drop of mercury of radius 3mm at room temperature?S.T of mercury at that temperature $(20^{\large\circ}C)$ is $4.65\times 10^{-1}Nm^{-1}$ .The $P_{atm}=1.01\times 10^4pa$ .Also give excess pressure inside the drop

answered May 9, 2014 by sreemathi.v

1 answer

U-shaped wire is dipped in a soap solution,and removed.The thin film formed between the wire and the light slider,supports a weight of $1.5\times 10^{-2}N$ (which includes the small weight of the slider).The length of slider is 30cm.What is the surface tension of the film?

answered May 9, 2014 by sreemathi.v

1 answer

From the figure below,(A) & (B) refer to the study of flow of a (non-viscous) liquid.Which of the two figures is incorrect?( $P_1$ & $P_2$ represents pipe)

answered May 9, 2014 by sreemathi.v

1 answer

There is a small hole near the botttom of an open tank filled with a liquid.The speed of water ejected does not depend on

answered May 9, 2014 by sreemathi.v

1 answer

The three vessels shown in figure below have same base area.Equal volume of a liquid are passed in the three vessels.The force on the base will be

answered May 9, 2014 by sreemathi.v

1 answer

Equal mass of three liquids are kept in three identical cylindrical vessel A,B and C.The densities are $\rho_A,\rho_B,\rho_C$ with $f_A < f_B < f_C$ .The force on the base will be

answered May 9, 2014 by sreemathi.v

1 answer

A wooden object floats in $H_2O$ kept in beaker.The object is near a side of the beaker (given in diagram).Let $P_1,P_2,P_3$ be the pressures at the three points $A,B$ and $C$ of the bottom as shown in figure.

answered May 9, 2014 by sreemathi.v

1 answer

Water is flowing through a long horizontal tube.Let $P_A$ & $P_B$ be the pressures at two horizontal points A and B of the tube.

answered May 9, 2014 by sreemathi.v

1 answer

Bernoulli’s theorem is based on conservation of which of the following:

answered May 9, 2014 by sreemathi.v

1 answer

The only possible dimensionless group that combines velocity $V_1$ body size $L$ ,fluid density $\rho$ and surface tension coefficient $\sigma$ is

answered May 9, 2014 by sreemathi.v

1 answer

The absolute viscocity $\mu$ of a fluid is primarily a function of

answered May 9, 2014 by sreemathi.v

1 answer

A rod of mass M of radius r,length l made up of material of young modulus Y is rotating in horizontal plane with angular velocity $\omega$ .

answered May 9, 2014 by sreemathi.v

1 answer

A rod of radius 2mm,length 80cm density $5KKg/m^3$ and made up of material of $Y=1\times 10^{10}N/m^2$ .Find the elongation due to its own weight.

answered May 9, 2014 by sreemathi.v

1 answer

The length of a wire is 8cm when tension in it is 80N and is 15cm when tension in it 200N.The natural length of the wire is

answered May 9, 2014 by sreemathi.v

1 answer

Two wires of radii in the ratio 2 : 3,lengths in the ratio 3 : 5.Forces applied in the ratio 5 : 7 with young modulii in the ratio 3 : 4.The change in length is in the ratio

answered May 9, 2014 by sreemathi.v

1 answer

A wire can sustain the weight of 5kg.If we cut the wire in 3 parts then together 3 parts can sustain the weight

answered May 8, 2014 by sreemathi.v

1 answer

The ratio of maximum tension in two string of same material having radii in the ratio 3 : 5

answered May 8, 2014 by sreemathi.v

1 answer

When the load is hang from a string then the ratio of work done by gravity to the work done spring force is

answered May 8, 2014 by sreemathi.v

1 answer

The potential energy U between two molecules as a function of distance r between them has been shown.The two molecules are

answered May 8, 2014 by sreemathi.v

1 answer

The rods A and B are heated.If $\alpha_1 : \alpha_2=5 : 7$ ,the thermal stresses develpoed on the two rods are equal if $Y_1 : Y_2$ is

answered May 8, 2014 by sreemathi.v

1 answer

A golden ring of radius 0.5cm and cross section area $2mm^2$ is shifted to a wooden of disk of radius 8cm.If young modulus is $3\times 10^{10}N/m^2$ ,what is force along its length?

answered May 8, 2014 by sreemathi.v

1 answer

Two wires A and B of same material have radii in the ratio 4 : 1 and length on the ratio 2 : 1.The forces required to produce same change in length are in the ratio

answered May 8, 2014 by sreemathi.v

1 answer

A long spring is stretched by 3cm and its potential energy is U.If spring is stretched by 12cm,its potential energy will be

answered May 8, 2014 by sreemathi.v

1 answer

2 wires of equal length are suspended. $Y_1=2\times 10^{11}N/m^2$ and $Y_2=3\times 10^{11}N/m^2$ .Find equivalent young's modulus of combination, $Y$

answered May 8, 2014 by sreemathi.v

1 answer

A steel wire 5mm in diameter is fixed between 2 clamps at $30^{\large\circ}C$ .The temperature is increased to $30^{\large\circ}C$ .Find the tension at $50^{\large\circ}C$ if linear expansion of steel is $11\times 10^{-6}/^{\large\circ}C$ and $Y_{steel}=2.1\times 10^{11}N/m^2$

answered May 8, 2014 by sreemathi.v

1 answer

A rubber catapult has a cross sectional area $2mm^2$ and total unstretched length 15cm.It is stretched to 18cm and then released to project a missile of 3g.Taking young modulus $8\times 10^8N/m^2$ find velocity of projection?

answered May 8, 2014 by sreemathi.v

1 answer

A lift is tied with four iron wires and its mass is 1500Kg.If maximum acceleration of lift is $2m/s^2$ and maximum safe stress is $2\times 10^8N/m^2$ find the minimum diameter of the wire $g=10m/s^2$

answered May 8, 2014 by sreemathi.v

1 answer

Find the density of material under a pressure $3\times 10^8N/m^2$ .Given the density of material $800Kg/m^3$ .Bulk modulus of material $9\times 10^9N/m^2$ .

answered May 8, 2014 by sreemathi.v

1 answer

A solid sphere of radius 2cm of bulk modulus $2\times 10^6N/m^2$ is surrounded by a liquid in cylindrical container.A massless piston of area $100cm^2$ floats on the surface of the liquid.When a mass 30Kg is placed on piston to compress the liquid what is fractional change in the radius of sphere

answered May 8, 2014 by sreemathi.v

1 answer

When the weight on a string is changed from 4Kg to 10Kg,the elongation changes from 0.3mm to 0.7mm,how much work done during this extension of the string?( $g=10m/s^2$ )

answered May 8, 2014 by sreemathi.v

1 answer

What is tension in the wire of radius r and length 2l in the given situation if young's modulus is $Y$ .

answered May 8, 2014 by sreemathi.v

1 answer

A wire of 4m in length suspended vertically stretches by 1mm when mass of 25Kg is attached to the lower end.What is the elastic potential energy gained by the wire? $g=10m/s^2$

answered May 8, 2014 by sreemathi.v

1 answer

How much energy stored will increase in a steel wire of 5m and $2mm^2$ cross sectional area when force on it increases to 300N from 50N?( $Y_{Steel}=2\times 10^{11}N/m^2$ )

answered May 8, 2014 by sreemathi.v

1 answer

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