EASY
Earn 100
Match the following
Column-I
Column-II
(A)
Shear modulus
(I)
Resistance to change in volume
(B)
Shearing stress
(II)
Proportionality constant
(C)
Elastic fatigue
(III)
Tangential stress
(D)
Modulus of elasticity
(IV)
Temporary loss of elastic property
(V)
Resistance to change against deformation force
The correct match is
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Important Questions on Properties of Solids and Liquids
EASY
When a block of mass is suspended by a long wire of length , the length of the wire becomes The elastic potential energy stored in the extended wire is
EASY
In materials like aluminium and copper, the correct order of magnitude of various elastic modulii is :
HARD
A thin long rod has a radius of . A force of is applied at one end to determine its Young's modulus. Assume that the force is exactly known. If the least count in the measurement of all lengths is , which of the following statements is false?
MEDIUM
A boy’s catapult is made of rubber cord which is long, with diameter of cross-section and of negligible mass. The boy keeps a stone weighing on it and stretches the cord by by applying a constant force. When released, the stone flies off with a velocity of . Neglect the change in the area of cross-section of the cord while stretched. The Young’s modulus of rubber is closest to:
EASY
A rubber cord of density Young's modulus and length is suspended vertically. If the cord extends by a length under its own weight, then is
MEDIUM
Young's moduli of two wires and are in the ratio . Wire is long and has radius Wire is long and has radius If the two wires stretch by the same length for a given load, the value of is close to:
MEDIUM
A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical container. A massless piston of area floats on the surface of the liquid, covering entire cross-section of cylindrical container. When a mass m is placed on the surface of the piston to compress the liquid, the fractional decrement in the radius of the sphere , is:
MEDIUM
Two steel wires having same length are suspended from a ceiling under the same load. If the ratio of their energy stored per unit volume is the ratio of their diameters is:
MEDIUM
A steel rail of length and area of cross section is prevented from expanding along its length while the temperature rises by . If coefficient of linear expansion and Young's modulus of steel are and respectively, the force developed in the rail is approximately:
MEDIUM
The bulk modulus of a spherical object is . If it is subjected to uniform pressure , the fractional decrease in radius is
EASY
Copper of fixed volume is drawn into wire of length . When this wire is subjected to a constant force the extension produced in the wire is Which of the following graph is a straight line?
HARD
An external pressure is applied on a cube at so that it is equally compressed from all sides. is the bulk modulus of the material of the cube and is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by:
MEDIUM
The elastic limit of brass is . The minimum diameter of a brass rod if it is to support a load without exceeding its elastic limit will be
MEDIUM
A load of mass is suspended from a steel wire of length and radius in Searle's apparatus experiment. The increase in length produced in the wire is Now the load is fully immersed in a liquid of relative density The relative density of the material of load is The new value of increase in length of the steel wire is:
MEDIUM
A wire of length and area of cross section is made of material of Young’s modulus . It is stretched by an amount . The work done in stretching the wire is
EASY
For a perfectly rigid body,
MEDIUM
A wire is stretched such that its volume remains constant. The Poisson’s ratio of the material of the wire is:
MEDIUM
One end of a slack wire (Young's modulus, , length, and cross-sectional area, ) is clamped to a rigid wall and the other end to a block (mass ) which rests on a smooth horizontal plane. The block is set in motion with a speed, . What is the maximum distance the block will travel after the wire becomes taut?
MEDIUM
A metal rod of length and cross-sectional area is heated through . What is the force required to prevent the expansion of the rod lengthwise?
= Young's modulus of the material of rod, coefficient of linear expansion
MEDIUM
The Young's modulus of steel is twice that of brass. Two wires of same length and of same area of cross-section, one of steel and another of brass are suspended from the same roof. If we want the lower ends of the wires to be at the same level, then the weights added to the steel and brass wires must be in the ratio of:
