Physics-
General
Easy
Question
The graph shows the behaviour of a length of wire in the region for which the substance obeys Hooke’s law.
and
represent
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/903777/1/900243/Picture7.png)
applied force,
extension
extension,
applied force
extension,
stored elastic energy
stored elastic energy,
extension
The correct answer is:
extension,
stored elastic energy
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 ![U proportional to x to the power of 2 end exponent](data:image/png;base64,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)
Related Questions to study
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
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
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,iVBORw0KGgoAAAANSUhEUgAAAHIAAACRCAYAAAAfDexRAAAR3ElEQVR4nO2dfVBUVR+AH/xgNgZErWBjLDTko0SsQRoqGiH+kBxTV6PEUGnQGqWUEsxUpLTSRC1NYlIZDMlMSww186OkAYLRBQplZtklcyeFNRxhA3VF675/8O4G8r0se3cv+8zsCIf78cOHc+655/7OuU6CIAg4sHsGiR2AA8vgECkRHCIlgkOkRHCIlAgOkRLBIVIiOERKBIdIieAQKREcIiWCQ6REcIiUCA6RZlJaWoqTk1ObT15enmjxOESaSXBwMKdPnyY+Ph5BEDh9+jTTp0+ntrZWlHgcIvvAL7/8wrRp0wCYOHGiqLE4OR4sm4+fnx9lZWU0NjayZcsWANLS0kSJxSHSTNRqNf7+/qbv9+zZQ2xsrGjxOJpWM/nmm2/47rvvEAQBpVLJ3LlzKS0tFS0eh0gz2b17t+n6GBwcjK+vLyUlJaLFM0S0M9sxOTk5xMXFAVBbW8uWLVvQaDTMnDlTvKAEB91SW1srZGRkCIIgCAqFQgDafMLCwoTTp0+LGqNDZDekpqYKMplMeOGFF8QOpUscvdZOyM/PZ86cOej1egYNGoRGo0Eul4sdVqeY1dkpLS0lOTmZ9PT0dj8zGAxt/rU3dDodzz77rGmURiaTkZqaatMSga6vkQqFosPysLAwARC2b9/epvyrr74SEhMThY8//lhYv369pVoNq3Dz5k3h7bffFoYNG9bm+hcQECDcvHlT7PC6xaxea0FBQYc9NIPBQENDA+7u7n364xKDX3/9laNHj/Lvv/8yZMgQ7ty5g4eHBxkZGchkMrHD6xbHfeT/CQ0N5dSpUzg5OTF06FCGDBlCREQE4eHhYofWI9qJbP1YJjc31/S1qPdIVuDKlSv4+/uzcOFC4uLiGDJkCJ988onYYfWYdk2r0KoTO3PmTA4ePGjVgMTAKDE+Pp7NmzeTn59PVFSU7XdwWjHgR3bulgjYTXPaGrOvkXV1dej1ekvGYnU6kmivdFkjO2tWZ86cSWFhIYWFhbi7u5OQkNAvwfUnUpIIZjat9n7d1Gq1BAYG8uqrr0pCIgzA2w+jxMTERMlIhAEm0igxOTmZdevWiR2ORRkwIltLXLNmjdjhWJwBIVLqEmEAiLQXiWq1mpycHLP3l7RIe5EIEB8fz6hRo8zeX7Ii7Ulieno6/v7+uLm5mX0MSYq0J4mlpaWEhoZy7dq1Ph1HciIrKip49NFH7UJiU1MTJSUlBAcHU1dXR3BwsNnHkpTIiooKnnzySdLS0mxeIsC8efN4/fXXcXJyorCwsE/HkozI1hIXL14sdjjdkpeXx4YNGxBaMhn7fDxJPMayFYkqlQqdTkdJSQm//fYbKpUKmUxGcXFxm+1ycnIYNWoUfn5+QEvGXlhYWN9ObskEoKysLCEuLk5ITU0VUlNTLXnoTikoKBBcXFyE9PR0q5yvNX/88YcQGhoqjBkzRgAENzc3wdXVVQCEQYMGCXK5XCgvL2+zjzHB2ZjYtn37dlOiV2fJbj3BrmtkYWEhkydPFq0myuVy/Pz8OHfuHACNjY0ADB8+nKCgIL777juGDx/eZp+7nxwlJCRY5DGg3V4jjRI/++wz0ZrToqIiKisruXnzpqnsvvvu47XXXuPnn39uJ7E/sUuRrSXOnz/f6uf/6KOP8PDwYOrUqYwZM4a33noLAA8PDw4cOMCGDRusHpPdiRRLok6nIyYmBmdnZ7Zu3cobb7zBzZs3OXDgAHq9ntDQUKqqqkTL97Gra6QYEo8ePcrq1as5d+4cQUFB/PTTT+16mGvXrhU9485uaqS1JaakpODh4cGsWbN45JFHuHr1KmVlZR3eJogtEexEpLUk6nQ6ZsyYgbOzM1lZWaxcuRKDwcDevXut2nExB5sXaQ2JR48eJSgoiAcffJDLly9TVFTEpUuXSExM7Jfz9Qc2fY3sb4kpKSlkZGRw48YNoqOjOXPmjF1M2OkIm62R/SVRq9UydepUnJ2dyc7OZvXq1dy4cYMvvvjCbiWCjYrsD4m5ubk8+uij+Pj4cP36dYqKitBqtXbVfHaFzTWt33//PbNmzSIrK4vZs2f36VgGg4F3332XHTt2YDAYmD9/PmVlZXZd8zrDpkQeOnSImJgYvv32W6ZMmWL2cbRaLQkJCZw4cYJRo0axdetW5s6da8FIbQ+baVq//vprZs+e3SeJubm5BAQEMHbsWK5fv45SqeTChQuSlwg2UiO//vpr4uLiOHnyJM8880yv9jUYDKxatYrMzEz++ecfYmNj+fXXXyXZfHaF6DXSKPHEiRO9klhVVUVUVBRubm7k5eXx6aef0tjYaDdz/i2NqCLNkbhv3z58fX0ZP348AJWVlWg0mgHRfHaFaCJ7I9FgMLBs2TJcXV157bXXeO6552hubuaHH34wpUsMdEQR2VOJFRUVbZrPnJwc9Ho927Zts2K09oHVRfZEYnZ2Nr6+vqblpaurq9FoNMyYMcOaodoVVhXZlUSDwcCSJUtwdXXlzTffbNN8ent7WzNMq5Gent5u+ZvWZb25bFjt9qMziRUVFSxZsoSioiJ8fHzYv39/nwYD7ImEhATTghorV65sU3bhwgV27drV42NZpUZ2JHHnzp14e3szceJERowYQXV1NSqVasBINHLs2DFeeeWVdmXLly/v1XF6XCNra2vJyspCqVQycuRIYmNje5Sf0lpiSEgICxYs4KuvvsLFxYXFixfz3nvv9SpgKWF8R8gDDzzQpuzKlSu97o33qEbm5eUxadIk3N3dWbVqFdOmTSMiIoL8/Pwu9zNKzMjI4J133mHYsGEUFxeTl5dHXV2dpCS+//77xMTEsHv3bnQ6XY/2+fHHHyksLGyzbJyXl5dpme1e0V0Gs1KpFAChqqqqTfkHH3wgxMfHtylrnWn+wgsvCEOHDhU8PT0FZ2dnITo6WtDpdGZnUts65eXlwuDBgwVXV1fBxcVF8Pb2FhYuXCjk5uZ2ukyor6+vUFNT06YsLCys3f91T+i2aY2JiWH79u3tqrq7u3unc/qOHj2KUqlk0KBB3Lp1Cy8vL86ePUtoaGjv/9LsiMGDB9PU1AS0PIHZuXMn+/fvR6/X4+fnR1pamunNBGq1Gk9PT4s0q9DNNTIvLw+NRtPhw93y8nJ8fHw63G/ChAkolUoEQcDNzY3nnntuQIzArFmzhubmZtP3w4YNQ6/XExQUhEKhICgoyPSzjRs3kpyc3Gb/rKws85pV6LppTUpK6nBiSU1NjQC0W1m/ddOamJgouLq6ChMmTBDuueceQS6Xt1txWUps27ZNGDx4sGnV5aSkJOHYsWMdbkurFZqVSqUgCC3N7N1lvaHLGllfX99heUpKCmFhYV32Wt3d3Tl//jyBgYGsWLECmUzGunXrSE5OJiYmhs2bN9t8imFvGD9+PEeOHCEqKqrbbYUO5kOq1eo+nb/LXmt4eDi5ubmmdh8gOTmZzMxMMjMzuz24t7c358+fJy0tDYPBgE6n4/Dhw5SUlODh4UFkZCRVVVV9+gVshfDw8B5J7C+6FBkbG4tCocDNzY2ZM2fi5OREfX09NTU1Pb7mtZa5du1aIiMjTY+eXFxcGD9+PAEBAeTm5lrkFxqodNtrPXjwIGq1msbGRrKzs3F1de31SYwyAwMDgZZOgbe3N4cPHwZg0aJFzJ07F5lMxtKlS0lJSen1OQY6PRoQ8PPzIzg42CyJRlrXzGXLlrX5WUZGBk1NTWzYsIFdu3Yhk8mIjo6moaHB7PMNNKz69MMoMzMzs51MgAULFqDVajl16hRarZb777+f0NBQKioqrBmmXWL155He3t5UVVV1KhMgLCyMM2fOcOnSJR5++GEmTpyIt7c32dnZVo7WfhAlQ8DT07Nbmcbt9u7dS3NzM3PmzGHp0qW4u7t3uc9ARbScnZ7KNLJ+/Xrq6+vZsWMHeXl5DB06FIVCgVartUK0to+oWXS9lQnw0ksvodFoKC0t5erVq/j6+hIUFNTnlaPsHdHzWs2RCRAUFERBQQF//fUXTzzxBJGRkXh5ednV23MsiegiwXyZ0LKmza5du7h16xaJiYls2LABFxcXFi1aZLevPjQHmxAJLTIvXrzIl19+aXZnZvny5aZhwNOnT+Pm5kZERESfxzHtAZsRCS21S6VS9UkmQGRkJCqVisrKSlxdXRk3bhwBAQEcOnTIgtHaFjYlEiwnE1pGpA4fPszt27eJiIggNjaWe++9l9TUVAtFazvYnEiwrEwjxmHAdevWsXv3bpydnZk/f75khgFtUiT0j0yAxYsXo9VqKSoq4ty5c9x33308+eSTnD171mLnEAObFQltZcbGxlr02CEhIZSVlXH58mXkcjlPP/00Dz/8cK+Sgm0JmxYJ/8k8fvx4v8z98PT0JDc3l+bmZl566SWSk5Nxc3NjyZIlFj9Xf2LzIqFF5p9//olSqezXiTzGYcBdu3Zx5MgRnJ2def755+1iGNAuRALIZDKqq6v7XSa0DANeuHABpVJJfX09Y8eOZcKECTY9DGg3IsG6MgHTGG5dXR3jxo0zDQNu3LixzXZ79uyhpKSk3+PpCrsSCdaXCS1N+969e03DgJs3b+aee+5hwYIFGAwGfv/9dyZNmsT69eutEk9H2J1IEEemkeXLl3PlyhW+/fZbiouLcXNzMy1/tmnTJqKiono8xpufn096erppDk1paanZcdmlSBBXJsCUKVOorKykuLiY+vp6/v77b65du8ZPP/1EUFAQFy9e7HRftVqNn5+fKcnsl19+ITk5mePHj5sdj92KhP9klpeXiyJTp9MRERHB7du3TWW3b99Go9EQEhLCgQMH2u2jVqvx9/dn06ZNFBQUkJCQwMqVKxkxYoQpy9Ac7FoktMjUarVUVlZaXaZcLufkyZOkpKSQlJTEY489xtChQ3F1dcVgMPDiiy+yatWqNvusWLGC+Ph402QeI5MnTyYkJMTsWGxi5StLoNFo8PX1ZcaMGVZ9yhEaGtpulplOp0OlUqFSqWhoaMBgMCCTyVCr1eTm5naYXd+XF5yBhESCeDLvRi6XI5fL282NOXPmDEC/zEyz+6b1bjQajSjNrNhITiTYrszIyEigZd5pa5qamkzrCZiLpJrW1hib2alTp3LkyBGxwwFaFn3Yvn0706dPJykpidGjR6PX66mvr+/zw25J1kgjGo2G6upq0d6O0xEJCQlUVVUxevRoAJ566inS0tL6NK8GJFwjjahUKh5//HHCw8O7XYXEWvj5+Vm8wyPpGmmkvLwcvV5vUzXT0gwIkSB9mQNGJPwnsy8jKLbKgBIJLTLv3LnD448/LnYoFmXAiYQWmYCkZA5IkdAiUyaTSUam2SL7OhJhCxQXF+Pu7i4Jmb0WmZ6ejp+fX7u3d9sr+fn5kpDZa5F6vR6NRtMfsYiGFGT2WuTKlStRKBT9EYuo3C3TYDCwb98+kaPqOQO2s9MRrWVevHiRmJgYu5mKJ/mx1t6Sn59PeHg4Tz31FDKZjPj4eKKiotq9pikvL4/du3ebvh85ciTTpk1rl8JhLTqtkU1NTZSWlpo+A4Xo6GgqKytpbm7GYDDQ3NzM6tWr220XEhJCXV0dPj4+puXBp0+fzocffihC1F2IrKmp4YMPPjB9Bgovv/wyTk5O3Lp1C2j5g96xY0e7dcqNKx8vXLiQ4OBgpk2bhlKpZNWqVaLcmnUq0niLYfwYUavVnD9/nvLyckncS97NjBkzUKvVzJs3D3d3dwAaGxuZM2dOm+06WrbamEBVU1NjvYD/T687O9988w2BgYFcu3bN7ieHdsbw4cPJzMwkPz+fwMBARowYQXFxcZvnmT/++KP5y1b3A73u7BjfGDMQeOyxxzh37hz79u3j1VdfJS4uDpVKhUwm4/PPP2f//v1ttjeuHuLl5WX1WC3aaw0ICMBgMCCXyy15WNGZPXs2UVFRbNq0iYaGBtNS1q3fEAAtyccKhaJduTVwEjpaYNtBl3z44Yc89NBDpunwtbW1pKSkUFVVxbFjx/qcf2MWZi+rP0BRKBQCIISFhQkKhcL0doCkpCShsbFRtLgcNbKXdHRP3dd0f0vgECkRHGOtEsEhUiI4REoEh0iJ4BApERwiJYJDpERwiJQIDpESwSFSIjhESgSHSInwP0LWmqUfcYGKAAAAAElFTkSuQmCC)
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