Physics-
A wire of length Land radius
rigidly fixed at one end. On stretching the other end of the wire with a force F, the increase in its length is
If another wire of same material but of length 2L and radius
is stretched with a force 2F, the increase in its length will be
Physics-General
Answer:The correct answer is:
Young’s modulus 

Since for same material Young’s modulus is same, 

or
or
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Related Questions to study
physics-
The diagram shows a force-extension graph for a rubber band. Consider the following statements
I. It will be easier to compress this rubber than expand it
II. Rubber does not return to its original length after it is stretched
III. The rubber band will get heated if it is stretched and released
Which of these can be deduced from the graph

Area of hysterisis loop gives the energy loss in the process of stretching and unstretching of rubber band and this loss will appear in the form of heating
The diagram shows a force-extension graph for a rubber band. Consider the following statements
I. It will be easier to compress this rubber than expand it
II. Rubber does not return to its original length after it is stretched
III. The rubber band will get heated if it is stretched and released
Which of these can be deduced from the graph

physics-General
Area of hysterisis loop gives the energy loss in the process of stretching and unstretching of rubber band and this loss will appear in the form of heating
physics-
A wire
has length 1 m and cross-sectional area 1
The work required to increase the length by 2 mm is
Work done = 

= 4
= 4
A wire
has length 1 m and cross-sectional area 1
The work required to increase the length by 2 mm is
physics-General
Work done = 

= 4
= 4
physics-
The pressure applied from all directions on a cube is
. How much its temperature should be raised to maintain the original volume? The volume elasticity of the cube is
and the coefficient of volume expansion is 
If coefficient of volume expansion is
and rise in temperature is
then 
Volume elasticity
Volume elasticity
The pressure applied from all directions on a cube is
. How much its temperature should be raised to maintain the original volume? The volume elasticity of the cube is
and the coefficient of volume expansion is 
physics-General
If coefficient of volume expansion is
and rise in temperature is
then 
Volume elasticity
Volume elasticity
physics-
Two magnets of equal mass are joined at 90
each other as shown in figure. Magnet
has a magnetic moment
times that of
. The arrangement is pivoted so that it is free to rotate in horizontal plane. When in equilibrium, what angle should
make with magnetic meridian?

In equilibrium, the resultant magnetic moment will be along magnetic meridian. Let
make
with resultant

Two magnets of equal mass are joined at 90
each other as shown in figure. Magnet
has a magnetic moment
times that of
. The arrangement is pivoted so that it is free to rotate in horizontal plane. When in equilibrium, what angle should
make with magnetic meridian?

physics-General
In equilibrium, the resultant magnetic moment will be along magnetic meridian. Let
make
with resultant

physics-
Two short bar magnets of equal dipole moment M are fastened perpendicularly at their centers, figure. The magnitude of resultant of two magnetic field at a distance
from the center on the bisector of the right angle is

Resolving the magnetic moments along
and perpendicular to
figure we find that component
perpendicular
cancel out. Resultant magnetic moment along 


The point
lies on axial line of magnet of moment



The point
Two short bar magnets of equal dipole moment M are fastened perpendicularly at their centers, figure. The magnitude of resultant of two magnetic field at a distance
from the center on the bisector of the right angle is

physics-General
Resolving the magnetic moments along
and perpendicular to
figure we find that component
perpendicular
cancel out. Resultant magnetic moment along 


The point
lies on axial line of magnet of moment



The point
physics-
The variation of intensity of magnetization
with respect to the magnetizing field (H) in a diamagnetic substance is described by the graph in figure.

For a dia-magnetic substance,
is negative and
Therefore, the variation is represented by
. As magnetisation is small,
is better choice.
The variation of intensity of magnetization
with respect to the magnetizing field (H) in a diamagnetic substance is described by the graph in figure.

physics-General
For a dia-magnetic substance,
is negative and
Therefore, the variation is represented by
. As magnetisation is small,
is better choice.
maths-
The number of one one onto functions that can be defined from A={a,b,c,d} into B={1,2,3,4} is
The number of one one onto functions that can be defined from A={a,b,c,d} into B={1,2,3,4} is
maths-General
maths-
maths-General
physics-
The Young’s modulus of the material of a wire is equal to the
Young’s modulus of material 
If longitudinal strain is equal unity, then
Linear stress produced
If longitudinal strain is equal unity, then
The Young’s modulus of the material of a wire is equal to the
physics-General
Young’s modulus of material 
If longitudinal strain is equal unity, then
Linear stress produced
If longitudinal strain is equal unity, then
physics-
If the shear modulus of a wire material is 5.9
then the potential energy of a wire of
in diameter and 5 cm long twisted through an angle of 10’ , is
To twist the wire through the angle
it is necessary to do the work

And



And
If the shear modulus of a wire material is 5.9
then the potential energy of a wire of
in diameter and 5 cm long twisted through an angle of 10’ , is
physics-General
To twist the wire through the angle
it is necessary to do the work

And



And
physics-
The graph shows the behaviour of a length of wire in the region for which the substance obeys Hooke’s law.
and
represent

Graph between applied force and extension will be straight line because in elastic range
Applied force
extension
But the graph between extension and stored elastic energy will be parabolic in nature
As
or 
Applied force
But the graph between extension and stored elastic energy will be parabolic in nature
As
The graph shows the behaviour of a length of wire in the region for which the substance obeys Hooke’s law.
and
represent

physics-General
Graph between applied force and extension will be straight line because in elastic range
Applied force
extension
But the graph between extension and stored elastic energy will be parabolic in nature
As
or 
Applied force
But the graph between extension and stored elastic energy will be parabolic in nature
As
physics-
A uniform slender rod of length L, cross-sectional area A and Young’s modulus Y is acted upon by the forces shown in the figure. The elongation of the rod is

Net elongation of the rod is




A uniform slender rod of length L, cross-sectional area A and Young’s modulus Y is acted upon by the forces shown in the figure. The elongation of the rod is

physics-General
Net elongation of the rod is




physics-
A cube of aluminium of sides 0.1 m is subjected to a sharing force of 100 N. The top face of the cube is displaced through 0.02 cm with respect to the bottom face. The shearing strain would be
Shearing strain = 
A cube of aluminium of sides 0.1 m is subjected to a sharing force of 100 N. The top face of the cube is displaced through 0.02 cm with respect to the bottom face. The shearing strain would be
physics-General
Shearing strain = 
maths-
The number of ways one can arrange words with the letters of the word ’ so that ↑MADHURI↑ always vowels occupy the beginning, middle and end places is
3 vowels, 3 places
! remaining
!
Total
! 4!
Total
The number of ways one can arrange words with the letters of the word ’ so that ↑MADHURI↑ always vowels occupy the beginning, middle and end places is
maths-General
3 vowels, 3 places
! remaining
!
Total
! 4!
Total
physics-
A wire of length
and radius
is stretched between
and
without the application of any tension. If
is the Young’s modulus of the wire and it is stretched like
, then the tension in the wire will be

Increase in length of one segment of wire
So,
A wire of length
and radius
is stretched between
and
without the application of any tension. If
is the Young’s modulus of the wire and it is stretched like
, then the tension in the wire will be

physics-General
Increase in length of one segment of wire
So,