Recent questions tagged properties-of-solids-and-fluids

If we have a cylinder container of radius R and height h is completely filled with a liquid . There are two horizontal L shaped pipes of small cross section 'a' are connected to the cylinder . Now if the two pipes are opened . Then torque would be applied by the liquid is ?

asked Dec 19, 2015 by Samagraguptajpr

1 answer

A cylindrical vessel filled upto a height at the bottom of the vessel. Area of hole is $\bigg(\large\frac{1}{100}\bigg)$ that of the area of vessel is maintained at 2 m . What is the time required to empty water equal to volume of water initially present in the vessel.

asked Oct 8, 2013 by meena.p

1 answer

A body floats on mercury with $\large\frac{1}{3}$ of its volume below the surface. Another liquid of density $\large\frac{1}{10}$ that of mercury is poured on top to cover the body completely. What is the fraction of cube now immersed.

asked Oct 8, 2013 by meena.p

1 answer

A ball of density $0.5 \times 10^3$ is dropped from a height of $10\; m$ and then enters water . Upto what depth will the ball go inside the water before it starts raising up.

asked Oct 8, 2013 by meena.p

1 answer

To what depth, relative to the surface does mercury dip down in a capillary tube of radius $1.0 mm$ surface tension $T=0.5 N/m$ density of mercury $=13.6 \times 10^{3}\;kg/m^3$ $\;g=9.8 m/s^2$

asked Oct 8, 2013 by meena.p

1 answer

A tank of diameter $0.6 \;m$ and height $1\;m$ has a hole at of diameter $10\;mm$ at a depth of $0.6\;m$ from the free surface. What is the thrust force due to the water issuing from the hole. $(g=10m/s^2)$

asked Oct 8, 2013 by meena.p

1 answer

The energy released when $1000$ small drops each of radius $10^{-7}\;m$ coalesce to from a single big drop is (Surface tension of liquid is $14 \times 10^{-2}\;N/m$)

asked Oct 8, 2013 by meena.p

1 answer

A solid blocks whose density is greater then the density of liquid is placed inside the liquid. It begins to float. Now a string attached to the solid holds the solid submerged. Now the tension in the string is $T_1$. If the system is accelerated upward with an acceleration a how will the tension in the string change.

asked Oct 8, 2013 by meena.p

1 answer

A hydraulic press has a load F placed on the larger piston which is balanced by a smaller piston where a load of $20\;kg$ is kept. (neglecting mass of position) The larger piston has a diameter of $0.35\;m$ and the smaller piston has diameter of $0.1\;m$ The press is filled with oil of density $750\;kg/m^3$ and the larger position is at a height $1.5\;m$ relative to smaller piston. Find F.

asked Oct 8, 2013 by meena.p

1 answer

Two wires of different materials are used to hang a rod horizontally tied from two ends of the rod of length $2m$. At what distance should a weight be hung on the rod from Wire-1 so that equal stresses are produced on both the wires. Wire 1: cross -sectional area $= 10^{-3}m^{2}$. Young's modulus $= 2 \times 10^{11} N/m^2$ Wire 2 : cross -sectional area $= 2 \times 10^{-3} m^{2}$. Young's modulus $= 1 \times 10^{11} N/m^2$

asked Oct 7, 2013 by meena.p

1 answer

A object of mass $5.0\;g$ is projected into air using a rubber string of cross sectional area of $1;mm^2$. The length of the chord when it was unstretched is 10.0 cm. It is then stretched to 12 cm to project the object . The young's modulus of rubber is $5.0 \times 10^8 n/m^2$. The velocity of projectile is (assuming all the energy of string is transferred to projectile)

asked Oct 7, 2013 by meena.p

1 answer

A highly rigid cubical block A of small mass M and side L is fixed rigidly to another cubical block B of the same dimensions and modulus of rigidity $\eta$ Such that the lower face of A completely covers the upper face of B. The lower face of B is rigidly held on horizontal surface. A small force is applied perpendicular to one of the side face of A. After the force is withdrawn block A executes small oscillations the time period of which is given by

asked Oct 7, 2013 by meena.p

1 answer

If $\rho$ is density of the material of a wire and $\sigma$ is the breaking stress. The greatest length of wire that can hang freely without breaking is

asked Oct 7, 2013 by meena.p

1 answer

Siphon is a device to transfer liquid from a higher level to lower level. The condition of working of siphon is

asked Oct 7, 2013 by meena.p

1 answer

If the ratio of lengths , radii and Young's modulli of two wires in the figure shown are 2,4, and 1 respectively. Then the corresponding ratio of increase in their length will be

asked Oct 7, 2013 by meena.p

1 answer

In the arrangement shown in figure $\large\frac{m_A}{m_B}=\frac{2}{3}$ and ratio of density of block B and of the liquid is $2:1$ The system is released from resat. Then

asked Oct 7, 2013 by meena.p

1 answer

Power required to raise $300 liters$ of water per minute through a height of 6m using a pipe of diameter 2.4 cm is $(g=10 m/s^2)$

asked Oct 4, 2013 by meena.p

1 answer

A wooden cube is floating in water when a mass $m= 0.2\;kg$ is kept on its top, When the mass is removed the cube rises by $2 \;cm$. The side of the cube is [density of water $=10^3 kg/m^3$]

asked Oct 4, 2013 by meena.p

1 answer

A rubber balloon has $200\;g$ water in it . It's weight in water will be (neglecting the weight of balloon)

asked Oct 4, 2013 by meena.p

1 answer

When at rest a liquid stands at same level in the tubes shown . But as indicated a height difference of 'h' occurs when the system is given an acceleration towards right. then 'h' equals

asked Oct 4, 2013 by meena.p

1 answer

Two liquids which do not react chemically are placed in a bent tube as shown. The heights of liquids above their surface of separation (Common surface) are

asked Oct 4, 2013 by meena.p

1 answer

A uniform rod of length $2.0 m$ specific $0.5$ and mass$2 \;kg$ is hinged at one end to bottom of tank of water (Specific gravity =1.0) filled upto a height of $1m$. as shown when $\theta \neq 0$. the force exerted by hinge on the rod is $(g=10 \;m/s^2)$

asked Oct 4, 2013 by meena.p

1 answer

A barometer tube reads $76\;cm$ of mercury. If the tube in gradually inclined at an angle of $60^{\circ}$ with vertical , keeping the open end immersed , in mercury reservoir, the length of the mercury column will be

asked Oct 4, 2013 by meena.p

1 answer

In a baro meter as shown in the figure a small hole is made at a point S Density of mercury is $\rho$. The mercury comes out from this hole with speed v equal to

asked Oct 4, 2013 by meena.p

1 answer

A cylinder of mass m and density $\rho$ hanging from a string is lowered into a vessel of cross. sectional area s containing a liquid of density $ \sigma( < \rho)$ until it is fully immersed. The increase in pressure at the bottom of vessel is

asked Oct 4, 2013 by meena.p

1 answer

The velocity of small ball of mass M and density $d_1$ when dropped in a container filled with glycerin becomes constant after some time. If the density of glycerin is $d_2$ then force acting on the ball

asked Oct 4, 2013 by meena.p

1 answer

For a given material , The young's modulus is 2.4 times that of rigidity modulus. It's Poisson's ratio is ::

asked Oct 4, 2013 by meena.p

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The Comprehensibility of water is $5 \times 10^{-10}\;m^2/N$. It is subjected to a pressure of $15\;M\;pa$. The fraction decrease in volume will be

asked Oct 4, 2013 by meena.p

1 answer

The volume of solid rubber ball when it is carried from surface of 200 m deep lake decreases by $0.1\%$ The value for bulk modulus elasticity of rubber will be

asked Oct 4, 2013 by meena.p

1 answer

A steel wire of uniform cross- section of $2\;mm^2$ is heated upto $50^{\circ}$ and clamped rigidly at two ends. If the temperature of wire falls to $30^{\circ}$ then change in tension in wire will be , if coefficient of linear expansion of steel is $1.1 \times 10^{-5}/ ^{\circ} C$ and $Y=2 \times 10^{11} N/m^2$

asked Oct 3, 2013 by meena.p

1 answer

Work done in increasing the length of $1\;m$ long wire of cross-sectional area $1\;mm^2$ through $1\;mm$ is $y=2 \times 10^{11}N/m^2$

asked Oct 3, 2013 by meena.p

1 answer

Two wire are made of same material and have same volume However wire 1 has cross-sectional area A and wire 2 has cross-sectional area 3A. If length of wire 1 is increased by $\Delta x$ on applying force F, how much force is needed to stretch wire 2 by same amount

asked Oct 3, 2013 by meena.p

1 answer

Excess pressure inside one soap bubble is three times that inside second soap bubble. Find the ratio of volume of first bubble to second.

asked Oct 3, 2013 by meena.p

1 answer

A capillary of shapes as shown is dipped in a liquid. Contact angle between liquid minisues is to be neglected . T is surface tension of liquid, r is radius of meniscus g is acceleration due to gravity $\rho$ is density of the liquid then height h in equillibrium is

asked Oct 3, 2013 by meena.p

1 answer

As square box of water has a small hole located in one of the bottom corner. When the box is full and sitting on level surface complete opening of the hole results in a flow of water with speed $v_0.$ When box is half empty, it is lilted by $45^{\circ}$. So that the hole is at lowest position. Now the water will flow with speed of

asked Oct 3, 2013 by meena.p

1 answer

A cylindrical vessel filled with water is released on an in inclined plane of angle $\theta$ as shown. The coefficient of friction of surfaces is $(\mu ( < \tan \theta)$. Then the contact angle made by the surface of water with the incline is

asked Oct 3, 2013 by meena.p

1 answer

Velocity of the liquid coming out of a small hole of u vessel containing two different liquids of density $2 \rho$ ans $\rho$ as shown is

asked Oct 3, 2013 by meena.p

1 answer

A steel wire $1.5\;m$ long and radius $1\;mm$ is attached with a load of $3 \;Kg$ at one end and the other end of he wire is fixed. It is wirled in a vertical circle with frequency $2\;Hz$. find the elongation of the wire when the weight is at the lowest position. $[Y=2 \times 10^{11} N/m^2 \quad g=10m/s^2]$

asked Oct 3, 2013 by meena.p

1 answer

The bulk modulus of elasticity of helium at 1 atmospheric pressure, assuming variation of pressure and volume is adiabatic, is

asked Oct 3, 2013 by meena.p

1 answer

A wire breaks when subjected to a stress S. If $\rho$ is the density of the material of wire, then the length of the wire. So that it breaks by its own weight is

asked Oct 3, 2013 by meena.p

1 answer

A steel wire of uniform cross- sectional area $2\;mm^2$ in heated upto $50^{\circ}C$ and is stretched by clamping its two ends rigidly. The change in tension when the temperature falls from $50^{\circ}C$ to $30^{\circ}C$ is $( \alpha =1.1 \times 10^{-5} C)\;(Y=2.0 \times 10^{11} N/ m^2)$

asked Oct 3, 2013 by meena.p

1 answer

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

asked Oct 3, 2013 by meena.p

2 answers

Four identical hollow cylindrical column of steel support a big structure of mass $50000\;kg$. The inner and outer radii of each column are 30 and 60 cm respectively. Assuming load distribution to be uniform , the compressional strain of each column is $ [y_{steel}=2.0 \times 10^{11} Nm^{-2}]$

asked Oct 3, 2013 by meena.p

1 answer

A metal plate of cross-sectional area rests on a layer of caster oil $(\eta= 15.5 p) \;0.2\;cm$ thick. Calculate the horizontal force required to move the plate with a speed of $3 cm/s$

asked Oct 3, 2013 by meena.p

1 answer

The stress versus strain graph for wires of two material A and B are as shown. If $Y_A$ and $Y_B$ are the Young's modulus of materials then

asked Oct 3, 2013 by meena.p

1 answer

A steel wire of $40\;m$ in length is stretched through $2.0\; mm.$ The cross sectional area of the wire is $2.0 \;mm^2$ . If young's modulus of steel is $2.0 \times 10^{11}\;N/m^2$ the energy density of wire is

asked Oct 2, 2013 by meena.p

1 answer

What is the work done in splitting a drop of water 1 mm radius into $10^6$ droplets (surface tension of water $= 72 \times 10^{-3} \; J/m^2$)

asked Oct 2, 2013 by meena.p

1 answer

A sample of liquid has an initial volume of $1.5 \;l$. The volume is reduced to $0.2 ml$ . When the pressure increased by $140\;R\;pa$. What is bulk modulus of liquid

asked Oct 2, 2013 by meena.p

1 answer

The elastic energy stored in a write of young's modulus Y is

asked Oct 2, 2013 by meena.p

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Water rises to a height of 20 mm in a capillary . If the radius of the capillary is made $\large\frac{1}{3}$rd of its precious is made then what is the new value of the capillary rise?

asked Oct 2, 2013 by meena.p

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