Physics-
General
Easy
Question
If Young’s modulus of elasticity Y for a material is one and half times its rigidity coefficient
the Poisson’s ratio
will be
The correct answer is: ![negative fraction numerator 1 over denominator 4 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAjCAYAAABsFtHvAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAHpJREFUeNpjYKA+UAPiWiC+wDAAYDEQpwHxf4YBBKOWj1o+avmo5TSzFB2PglEwuMB/IjA5ekZT/ygY/sBnoFI2DxBfGyjLZwJx8kBYbg3EeweiTmcD4ktALD8QlncAcc5AtGb0gPjoQDWlTgKxykBZPuhqstG2O1YAADLBQjEV6LqdAAAAbHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4tPC9tbz48bWZyYWM+PG1uPjE8L21uPjxtbj40PC9tbj48L21mcmFjPjwvbWF0aD4UNt5TAAAAAElFTkSuQmCC)
Young’s modulus, ![Y equals fraction numerator 3 ɳ over denominator 2 end fraction](data:image/png;base64,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)
We know that ![Y equals 2 ɳ open parentheses 1 plus sigma close parentheses](data:image/png;base64,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)
![therefore blank fraction numerator 3 ɳ over denominator 2 end fraction equals 2 ɳ open parentheses 1 plus sigma close parentheses](data:image/png;base64,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)
⟹ ![blank sigma equals negative fraction numerator 1 over denominator 4 end fraction](data:image/png;base64,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)
Related Questions to study
physics-
Four wires of the same material are stretched by the same load. Which one of them will elongate most if their dimensions are as follows
Four wires of the same material are stretched by the same load. Which one of them will elongate most if their dimensions are as follows
physics-General
physics-
A current
is flowing through the loop. The direction of the current and the shape of the loop are as shown in the figure.
The magnetic field at the centre of the loop is
times.
![left parenthesis M A equals R comma blank M B equals 2 R comma blank angle D M A equals 90 degree](data:image/png;base64,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)
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)
A current
is flowing through the loop. The direction of the current and the shape of the loop are as shown in the figure.
The magnetic field at the centre of the loop is
times.
![left parenthesis M A equals R comma blank M B equals 2 R comma blank angle D M A equals 90 degree](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
physics-
A part of a long wire carrying a current
is bent into a circle of radius r as shown in figure. The net magnetic field at the centre O of the circular loop is
![](data:image/png;base64,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)
A part of a long wire carrying a current
is bent into a circle of radius r as shown in figure. The net magnetic field at the centre O of the circular loop is
![](data:image/png;base64,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)
physics-General
physics-
A wire shown in figure carries a current of 40 A. If
, the magnetic field at point
will be
![](data:image/png;base64,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)
A wire shown in figure carries a current of 40 A. If
, the magnetic field at point
will be
![](data:image/png;base64,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)
physics-General
physics
A car covers one third part of its straight path with speed V1 and the rest with speed V2 . What is its average speed ?
A car covers one third part of its straight path with speed V1 and the rest with speed V2 . What is its average speed ?
physicsGeneral
physics
A bus travels between two points A and B. V1 and V2 are it average speed and average velocity then
A bus travels between two points A and B. V1 and V2 are it average speed and average velocity then
physicsGeneral
Maths-
If
is defined by
![text then end text f left parenthesis x right parenthesis text is end text](data:image/png;base64,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)
If
is defined by
![text then end text f left parenthesis x right parenthesis text is end text](data:image/png;base64,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)
Maths-General
physics
A car moving over a straight path covers a distance x with constant speed 10ms-1 and then the same distance with constant speed of V1.If average speed of the car is , 16 ms-1 then V2=...
A car moving over a straight path covers a distance x with constant speed 10ms-1 and then the same distance with constant speed of V1.If average speed of the car is , 16 ms-1 then V2=...
physicsGeneral
physics-
A copper wire of negligible mass, 1 m length and cross-sectional area
is kept on a smooth horizontal table with one end fixed. A ball of mass 1 kg is attached to the other end. The wire and the ball are rotated with an angular velocity 20 rad
If the elongation in the wire is
, then the Young’s modulus is
A copper wire of negligible mass, 1 m length and cross-sectional area
is kept on a smooth horizontal table with one end fixed. A ball of mass 1 kg is attached to the other end. The wire and the ball are rotated with an angular velocity 20 rad
If the elongation in the wire is
, then the Young’s modulus is
physics-General
physics-
Two wires of equal cross-section but one made of steel and the other of copper are joined end to end. When the combination is kept under tension, the elongations in the two wires are found to be equal. What is the ratio of the lengths of the two wires? (Given : steel = ![2 cross times 10 to the power of 11 end exponent N m to the power of negative 2 end exponent right parenthesis](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHMAAAASCAYAAABo6+EZAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAArJJREFUeNrtWD1IXEEQfgQ5jiMEUh0SJCASxCKNhYQrJCAiEiQEQhALC+EKkWAXQhArIVgEsRBEgkgIAQmSQtLIEUQsBAliIcEmVRAbCRYiEtAZ+E6Wdfa9t3u79xPvgw9uZ+b27u33dmZ2o+j/wCPiFHHP0V+vuAQviNvEjugW4BOxiAd38dc77hDHiT+jW4TLCv31jnPl83sI3BSzAdFL3NRsnHof64EF4lfiKfIz15aRGtc5xj3iAnEHXIQtlJh/iaMG3xnSnc9aKFFCK4Rr1+zdxC09mBUfJt7FuAtfHq5hnWOUiEPK+BlsIcTk5uJAWhz49mvY3K1DUAlbEDUWD6v0AKYFfkmcF+xzMS9ZJWI+J34mrmABdd+XGgjJAn5PyEavUT+tCq6Od6CtL+0Cc9rvF+xP4fMt5jTxDeafMfj0cR4v3DHxiDgI/33iB+IJStdbRzFZyM6EmCcJ2eo6aDshRhLNRsi4BeaFyAj2DBYvqQbZ+Bmr2IGR8NyqrzxmQXeRJVqQyX5jN3HZegV7GzZF3lNtldbjNG6SLBqOQoofVMWzFTJOzH8x37kIkNIOiQ+Unden+H4pvnJsCTtQxR/iksHeGjAdG9eD/8g3Q4qLE3TDQUhXMc8DHMrPtH5hxeArj3OGOXIJc1dNzHYIaXttFELMY0OazQpptlL0EH9otg1097pPinWx+4KYZjuRInIOQoZIs9zkDAj2/pgGyBVc95Y12yiOTrpPinWx+8KNBiiPot5SgZC+G6AXeLl0LAc4/3JHOia88SX4ilps0TCHjd0XJoizqmE9RQtc7aNJhPQ0iZcsgzk3AyzImnKsULGEs/Zgilhbuy/cuDSwvV4KdaUlNWMf0fBwE7Go3FL5xAlqsY4C/lc2Rayt3Qe6DTdWTTQgxIv2JhoPs3otvgLpONRd6jH4cgAAAMd0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW4+MjwvbW4+PG1vPiYjeEQ3OzwvbW8+PG1zdXA+PG1uPjEwPC9tbj48bW4+MTE8L21uPjwvbXN1cD48bWk+TjwvbWk+PG1zdXA+PG1pPm08L21pPjxtcm93Pjxtbz4tPC9tbz48bW4+MjwvbW4+PC9tcm93PjwvbXN1cD48bW8+KTwvbW8+PC9tYXRoPsA7esIAAAAASUVORK5CYII=)
Two wires of equal cross-section but one made of steel and the other of copper are joined end to end. When the combination is kept under tension, the elongations in the two wires are found to be equal. What is the ratio of the lengths of the two wires? (Given : steel = ![2 cross times 10 to the power of 11 end exponent N m to the power of negative 2 end exponent right parenthesis](data:image/png;base64,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)
physics-General
physics-
The relation between
and
for a elastic material is
The relation between
and
for a elastic material is
physics-General
Maths-
If
is defined by
then ![f left parenthesis x right parenthesis text is end text](data:image/png;base64,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)
If
is defined by
then ![f left parenthesis x right parenthesis text is end text](data:image/png;base64,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)
Maths-General
physics-
Two long parallel conductors carry currents in opposite directions as shown. One conductor carries a current of 10 A and the distance between the wires is d=10cm Current I is adjusted, so that the magnetic field at P is zero. P is at a distance of 5 cm to the right of the 10 A current. Value of I is
![](data:image/png;base64,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)
Two long parallel conductors carry currents in opposite directions as shown. One conductor carries a current of 10 A and the distance between the wires is d=10cm Current I is adjusted, so that the magnetic field at P is zero. P is at a distance of 5 cm to the right of the 10 A current. Value of I is
![](data:image/png;base64,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)
physics-General
physics-
Two long straight wires are set parallel to each other. Each carries a current
in the opposite direction and the separation between them is 2R. The intensity of the magnetic field midway between them is
![](data:image/png;base64,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)
Two long straight wires are set parallel to each other. Each carries a current
in the opposite direction and the separation between them is 2R. The intensity of the magnetic field midway between them is
![](data:image/png;base64,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)
physics-General
physics-
A current of 10 A is passing through a long wire which has semicircular loop of the radius 20 cm as shown in the figure. Magnetic field produced at the centre of the loop is
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)
A current of 10 A is passing through a long wire which has semicircular loop of the radius 20 cm as shown in the figure. Magnetic field produced at the centre of the loop is
![](data:image/png;base64,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)
physics-General