Physics-
General
Easy
Question
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
The correct answer is: ![1.253 blank cross times 10 to the power of negative 12 end exponent blank J](data:image/png;base64,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)
To twist the wire through the angle
it is necessary to do the work
![d W equals blank tau d theta](data:image/png;base64,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)
And ![theta equals 10 to the power of ´ end exponent equals fraction numerator 10 over denominator 60 end fraction cross times fraction numerator pi over denominator 180 end fraction equals fraction numerator pi over denominator 1080 end fraction r a d](data:image/png;base64,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)
![W equals blank not stretchy integral from 0 to theta of tau blank d theta equals blank not stretchy integral from 0 to theta of fraction numerator eta pi r to the power of 4 end exponent theta d theta over denominator 2 l end fraction equals blank fraction numerator eta pi r to the power of 4 end exponent theta over denominator 4 l end fraction](data:image/png;base64,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)
![W equals blank fraction numerator 5.9 blank cross times 10 to the power of 11 end exponent cross times 10 to the power of negative 5 end exponent cross times blank pi open parentheses 2 cross times 10 to the power of negative 5 end exponent close parentheses to the power of 4 end exponent pi to the power of 2 end exponent over denominator 10 to the power of negative 4 end exponent cross times 4 cross times 5 cross times 10 to the power of negative 2 end exponent cross times open parentheses 1080 close parentheses to the power of 2 end exponent end fraction](data:image/png;base64,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)
![W equals 1.253 blank cross times 10 to the power of negative 12 end exponent blank J](data:image/png;base64,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)
Related Questions to study
physics-
The Young’s modulus of the material of a wire is equal to the
The Young’s modulus of the material of a wire is equal to the
physics-General
Maths-
Maths-General
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
![](data:image/png;base64,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)
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
![](data:image/png;base64,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)
physics-General
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?
![](data:image/png;base64,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)
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?
![](data:image/png;base64,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)
physics-General
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 ![alpha](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAKCAYAAACALL/6AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAJVJREFUeNpjYEAFwkC8EIh/QGkeJDkQPxRZMRsQHwViLyh7PxBPgcrJA/E5NMMZaoG4EolvAMR3oeylQGyLruExmhNA4CAQuwHxNHTFxkB8mAETJAPxcSwGgT2zHIuGhVB/YYAgIF6HJjYbiBOhNquga+AD4vtArAbEgkA8H4hnQuW2QQMEA8hDg/IcWnjHA/ElBnIBAHRLGk6b6b/RAAAAT3RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT4mI3gzQjE7PC9taT48L21hdGg+O57raQAAAABJRU5ErkJggg==)
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 ![alpha](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAKCAYAAACALL/6AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAJVJREFUeNpjYEAFwkC8EIh/QGkeJDkQPxRZMRsQHwViLyh7PxBPgcrJA/E5NMMZaoG4EolvAMR3oeylQGyLruExmhNA4CAQuwHxNHTFxkB8mAETJAPxcSwGgT2zHIuGhVB/YYAgIF6HJjYbiBOhNquga+AD4vtArAbEgkA8H4hnQuW2QQMEA8hDg/IcWnjHA/ElBnIBAHRLGk6b6b/RAAAAT3RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT4mI3gzQjE7PC9taT48L21hdGg+O57raQAAAABJRU5ErkJggg==)
physics-General
physics-
A wire
has length 1 m and cross-sectional area 1
The work required to increase the length by 2 mm is
A wire
has length 1 m and cross-sectional area 1
The work required to increase the length by 2 mm is
physics-General
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
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/485549/1/900159/Picture9.png)
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
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/485549/1/900159/Picture9.png)
physics-General
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
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
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.
![](data:image/png;base64,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)
The variation of intensity of magnetization
with respect to the magnetizing field (H) in a diamagnetic substance is described by the graph in figure.
![](data:image/png;base64,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)
physics-General
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-
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
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
Maths-
If
defined by ![f left parenthesis x right parenthesis equals fraction numerator 1 over denominator x squared plus 1 end fraction comma text then end text f text is end text](data:image/png;base64,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)
If
defined by ![f left parenthesis x right parenthesis equals fraction numerator 1 over denominator x squared plus 1 end fraction comma text then end text f text is end text](data:image/png;base64,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)
Maths-General
physics
An ant goes from P to Q on a circular path in 20 second Radius OP=10 m . What is the average speed and average velocity of it ?
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)
An ant goes from P to Q on a circular path in 20 second Radius OP=10 m . What is the average speed and average velocity of it ?
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)
physicsGeneral
Maths-
Which of the following functions is not injective?
Which of the following functions is not injective?
Maths-General
physics
The graph of position
time shown in the figure for a particle is not possible because ....
![](data:image/png;base64,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)
The graph of position
time shown in the figure for a particle is not possible because ....
![](data:image/png;base64,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)
physicsGeneral