Physics-
General
Easy
Question
A copper rod of length L and radius ris suspended from the ceiling by one of its ends. What will be elongation of the rod due to its own weight when
are the density and Young’s modulus of the copper respectively?
The correct answer is: ![fraction numerator rho g L over denominator 2 Y end fraction](data:image/png;base64,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)
The weight of the rod can be assumed to act at its mid-point.
Now, the mass of the rod is
![M equals V rho](data:image/png;base64,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)
⟹ ![M equals A L rho](data:image/png;base64,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)
Here, ![A equals a r e a blank o f blank c r o s s minus s e c t i o n s comma](data:image/png;base64,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)
L= length of the rod.
Now, we know that the Young’s modulus
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/905166/1/886514/Picture2.png)
![Y equals fraction numerator fraction numerator M g L over denominator 2 end fraction over denominator A bullet l blank end fraction blank left parenthesis H e r e comma blank L equals fraction numerator L over denominator 2 end fraction comma l equals e x t e n s i o n right parenthesis](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAR4AAAAxCAYAAAAMRMaBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAliyBG2QAABxVJREFUeNrtnX9kXFkUx6+oiKqwKmqNKlEr8keVVVEV+WdVrYoqVaNqVYi1omKViFj9Y5Wqqor8s9ZaVStU1apRS6yqiFoqalXVkD/2j9o/loiIVRWy95jzdl7u3J9v5s28O/P9cJh579337j3vvvvOPe+ee4WIg5tStpRtfVL+kjIXcI45AQAAnjyS8lHKYGrbN1K2pVwIOMcFqBIA4EtVygMpX6asnYqUDSml1HH9Un6W8q+Uh5zuaOocn0KVAAAfqJHZkXJJyixvm5YyyQ1MmiUp4/z7KykflHMAAIAXY1KeS/mMrRhqRB5LOc3bE45I+TP1P72fzvE7VAkA8KXM3SdinS2Zs8p24rLyv8zdM6E5FgAArCxKmeLfz9nqUbcTN6RcVdJ9nfp9DaoEAPjyRNSdymS1jGu2E1ek3OPf9PVqgy2j5NhzUCUAwJdNKQMe2z8RNR8PNTjkiP5H1PxBybF7ivRDtQCAVpK2fgAAIBdOiNqnc5K/pdyFRQMAAAAAAAAAKnttFgAAAD0OhcL0QQ0AgHZxXOwPfQEAgNyhwZ/LUAMAoJ1gwjYQBYmDmCYKW2NTHcQLJmwDUUHOSJqVcB2qiBqasK0ENYDY+AAVRP3ywIRtIDompLyAGqIlmfQNgGig+ZTJxzMMVUQLJmwDUUHTolZE5yZzJ9/SbdyGpsGEbd3JbX5Gus7SeSb2L33TTigy/iXqVkvAhG3dyxo/Kw38xKauDprnuKiDuqjRGemwQk8a9tmG/hc9LKAT+dNN2NbsxG0IvyiGrj6XsqrbQetPvdVc+BR3Yw4UVFmdDPo8yQ2PDtvQ/6KHBXRL2EIM5ThuqUPdpqtVboAaoFn7plP/h6SsiNq0oqCRO1JmDPtsQ/+LHhbQLWELMZTjopRfeuR5uS4MvlDyl1TZ6iGhUaQYzGXmN1GffF7FNvRft4/WBaP1wmgcEq0JP2FIQytnvOLj5gLSh9AtYQt5lsOl7ynDQ/a9qK+OclOx1LPUiRt8XLKC7iY/4CoLfI5dw7V0uhpiF8wO54GWixpoIg+01p1xfbtbnOiuySxydHN6aa6bbYvvwTb0X903yGbuJP8flfJGk+Y93xd1yIBP+hBCwhaKXAds5Wgm3776XucHMoG+2C155tG3TlznB36CjYUSNxIHlUbnR2H3k6n5SBZPuMbnHWTr8U7GPAi+/rYpA3RBWqEBXxfc7Fr2VR2VuqR02eaV9BWlolTZLDd1+VzpQ+iWsIW8yuGr73OivujAF4a3/TspxzJeo6q4RhLI4jic+r/G1w/RFV3/W+WYYT5OZMhDwkdTBto1bH0vAsna8Nh0eEDsX/Odjt1isza9bVvUHf19onGd+JD0IbQzbCHPGSNtOmuGUH2vsCXwWvMgmvLoWyd2POoXcYmtr0lPXfWx8aF2qwY4XyJDHpwNT8iwdXS19FaFba12dc33MYPe1jzviU/6EELDFopaB1zlyJrvUH3P8sN2wnCuFxmvYSrfacN28t+u8r5DDl2ZPn2PaepuSB6sXS0MW/eH3mZnAnWo7pvkfrIN2/l80ofQLfc/r3KE6JvqxmPubpUNeXyQ8Rqm8tnKPcB+m6sZ6yQ1oreayIPVuayuSQ7sff2ZQB0uKn1iuhl/OK5jO59P+hC6JWxh0eB7aBZffZM/5KmoOVjJwnil6WrdN9SfZuqE6/mlr1RXHGnIN/VM0x2jcX4jTeRhRjQ6p/9HXZMcmDENILTp8FfNvrf8NqGbS859ciqOB9wTV3pimc1119eq2MIWTOXKsx679D3ED266oTkv5aFyniVuCLJcw1Q+W7lP8XkPO9KQj+Y955ko8TELntcybTcOICRMa5UDPS81/XebDnX7hvmm7HLFmAq8J670IQ1PHmELnWh48qzHNn3384NXMuQ13aiP8gOu023WOqFu3+Lz77LfZcSzTo7zdck/9c5gBfvmweY3KiSzOZ+/FbEpMQWJLhfYmk38Idtc2V9rugQxlgvUMAaJFo3LXAHzihFrZWwKjSYu+rQY1C18I4obc0dfd8qi/sVllCtrOfJygZpfZzqGjCajJleE/wja79jE2+TfLnptGRUy/Y9EludjHi+HGMsFCsoP/Kaj6TiWPI5f0PgjFhxpsIxKHGAObdAW6FNihX/Tm2zDI82WpuHZdKTBMipx1IU1qAHkDfXTabzD0dQ2GurtmugrS8ODZVSKDX0VobEsZ6AKkDdJiH0aGinpmq91PrCrlVccD2gN5OOj8U5noQqQNyNCvxgfBdg99Ug/z5bPlmiM6lXBMirFZZgbHawIC9rCqjAPXGv1Z3XEoxX35UPzxhyEKkA7oG/89y37Wz1ALK84HpAd+pDwSGA8DmgTFK5PYzUOWY6ZcjRMoSAerXhURGdXCwE9Br3lzjuOoa9P1RZeE/FoxaNX53TqSf4DYRiQvxepbmcAAAH6dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPlk8L21pPjxtbz49PC9tbz48bWZyYWM+PG1mcmFjPjxtcm93PjxtaT5NPC9taT48bWk+ZzwvbWk+PG1pPkw8L21pPjwvbXJvdz48bW4+MjwvbW4+PC9tZnJhYz48bXJvdz48bWk+QTwvbWk+PG1vPiYjeDIyMTk7PC9tbz48bWk+bDwvbWk+PG1pPiYjeEEwOzwvbWk+PC9tcm93PjwvbWZyYWM+PG1pPiYjeEEwOzwvbWk+PG1vPig8L21vPjxtaT5IPC9taT48bWk+ZTwvbWk+PG1pPnI8L21pPjxtaT5lPC9taT48bW8+LDwvbW8+PG1pPiYjeEEwOzwvbWk+PG1pPkw8L21pPjxtbz49PC9tbz48bWZyYWM+PG1pPkw8L21pPjxtbj4yPC9tbj48L21mcmFjPjxtbz4sPC9tbz48bWk+bDwvbWk+PG1vPj08L21vPjxtaT5lPC9taT48bWk+eDwvbWk+PG1pPnQ8L21pPjxtaT5lPC9taT48bWk+bjwvbWk+PG1pPnM8L21pPjxtaT5pPC9taT48bWk+bzwvbWk+PG1pPm48L21pPjxtbz4pPC9tbz48L21hdGg+SNk5KgAAAABJRU5ErkJggg==)
⟹![l equals fraction numerator fraction numerator M g L over denominator 2 end fraction over denominator A Y end fraction](data:image/png;base64,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)
or ![l equals fraction numerator M g L over denominator 2 A Y end fraction](data:image/png;base64,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)
On putting the value of M from Eq.(i), we get
![l equals fraction numerator A L rho bullet g L over denominator 2 A Y end fraction](data:image/png;base64,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)
or![l equals fraction numerator rho g L to the power of 2 end exponent over denominator 2 Y end fraction](data:image/png;base64,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)
Related Questions to study
physics-
The value of force constant between the applied elastic force
and displacement will be
![](data:image/png;base64,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)
The value of force constant between the applied elastic force
and displacement will be
![](data:image/png;base64,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)
physics-General
physics-
A student plots a graph from his reading on the determination of Young’s modulus of a metal wire but forgets to label. The quantities on
and
axes may be respectively
![](data:image/png;base64,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)
A student plots a graph from his reading on the determination of Young’s modulus of a metal wire but forgets to label. The quantities on
and
axes may be respectively
![](data:image/png;base64,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)
physics-General
physics-
If the ratio of lengths, radii and Young’s modulus of steel and brass wires shown in the figure are
and
, respectively. The ratio between the increase in lengths of brass and steel wires would be
![](data:image/png;base64,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)
If the ratio of lengths, radii and Young’s modulus of steel and brass wires shown in the figure are
and
, respectively. The ratio between the increase in lengths of brass and steel wires would be
![](data:image/png;base64,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)
physics-General
chemistry-
Salicin (structure given below) is a glycoside, found in the bark of willow tree, used in relieving pain. Observe the following reaction of salicin
![](data:image/png;base64,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)
The correct statement (s) is (are) :
Salicin (structure given below) is a glycoside, found in the bark of willow tree, used in relieving pain. Observe the following reaction of salicin
![](data:image/png;base64,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)
The correct statement (s) is (are) :
chemistry-General
physics-
Which one of the following is the Young’s modules (in
for the wire having the stress-strain curve shown in the figure
![](data:image/png;base64,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)
Which one of the following is the Young’s modules (in
for the wire having the stress-strain curve shown in the figure
![](data:image/png;base64,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)
physics-General
physics-
The diagram shows the change
in the length of a thin uniform wire caused by the application of stress
at two different temperatures
and
. The variation shown suggest that
![](data:image/png;base64,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)
The diagram shows the change
in the length of a thin uniform wire caused by the application of stress
at two different temperatures
and
. The variation shown suggest that
![](data:image/png;base64,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)
physics-General
chemistry-
IfΔHf ofICl(g),Cl(g),andI(g)is17.57,121.34and 106.96Jmol–1respectively.Thenbonddissociation energyofIClbondis-
IfΔHf ofICl(g),Cl(g),andI(g)is17.57,121.34and 106.96Jmol–1respectively.Thenbonddissociation energyofIClbondis-
chemistry-General
chemistry-
Calculateenthalpychangeofthefollowingreaction H2C=CH2(g)+H2(g)→H3C–CH3(g) ThebondenergiesofC–H,C–C,C=C,H–Hare414, 347,615and435KJmol–1respectively-
Calculateenthalpychangeofthefollowingreaction H2C=CH2(g)+H2(g)→H3C–CH3(g) ThebondenergiesofC–H,C–C,C=C,H–Hare414, 347,615and435KJmol–1respectively-
chemistry-General
chemistry-
HeatevolvedinthereactionH2+Cl2 →2HClis 182KJ.BondenergiesofH–H and Cl–Clare430 and242KJ/mol respectively.The HCl bond energy is-
HeatevolvedinthereactionH2+Cl2 →2HClis 182KJ.BondenergiesofH–H and Cl–Clare430 and242KJ/mol respectively.The HCl bond energy is-
chemistry-General
chemistry-
Among the following for which reaction heat of reaction represents bond energy of HCl
Among the following for which reaction heat of reaction represents bond energy of HCl
chemistry-General
physics
The range of a galvanometer of resistance G ohm is V wolt. The resistance required to be connected in series with it in order to convert it into voltmeter of range
volt will be........
The range of a galvanometer of resistance G ohm is V wolt. The resistance required to be connected in series with it in order to convert it into voltmeter of range
volt will be........
physicsGeneral
physics
A galvanometer with resistance 100Ω is converted into an ammeter with a resistance of 0.1. The galvanometer shows full scale deflection with current of 100μA. Then what will be the minimum current in the circuit for fall scale deflection of galvanometer?
A galvanometer with resistance 100Ω is converted into an ammeter with a resistance of 0.1. The galvanometer shows full scale deflection with current of 100μA. Then what will be the minimum current in the circuit for fall scale deflection of galvanometer?
physicsGeneral
physics
A galvanometer of resistance 200Ω gives full scale deflection for a current of
A. To convert it into an anmeter capable of measuring upto 1A. What resistance should be connected in parallel with it ?
A galvanometer of resistance 200Ω gives full scale deflection for a current of
A. To convert it into an anmeter capable of measuring upto 1A. What resistance should be connected in parallel with it ?
physicsGeneral
physics
A moving coil galvanometer has 150 equal divisions, Hs current sensitivity is 10 divisions per milliampere and voltage sensitivity is 2 divisions per millivolt. In order that each divisions reads 1 V . What will be the resistance in ohms needed to be connected in series with the coil?
A moving coil galvanometer has 150 equal divisions, Hs current sensitivity is 10 divisions per milliampere and voltage sensitivity is 2 divisions per millivolt. In order that each divisions reads 1 V . What will be the resistance in ohms needed to be connected in series with the coil?
physicsGeneral
physics
A battery of 2 V and internal resistance 1 is used to send a current through a potentiometer wire of length 200 cm and resistance What is the potential gradieut of the wire?
A battery of 2 V and internal resistance 1 is used to send a current through a potentiometer wire of length 200 cm and resistance What is the potential gradieut of the wire?
physicsGeneral