Physics-
General
Easy
Question
Two identical discs of same radius
are rotating about their axes in opposite directions with the same constant angular speed
. The discs are in the same horizontal plane. At time
, the points
and
are facing each other as shown in figure. The relative speed between the two points
and
is
as function of times best represented by
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/905667/1/912010/Picture480.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/905667/1/3528498/Picture479.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/905667/1/3528499/Picture478.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/905667/1/3528500/Picture477.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/905667/1/3528501/Picture476.png)
The correct answer is: ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/905667/1/3528498/Picture479.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/905667/1/912010/Picture545.png)
So, ![V subscript r end subscript equals 2 omega R sin invisible function application left parenthesis omega t right parenthesis](data:image/png;base64,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)
At ![t equals T divided by 2 comma blank V subscript r end subscript equals 0](data:image/png;base64,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)
So two half cycles will take place
Related Questions to study
Physics-
A small body of mass
slides down from the top of a hemisphere of radius
. The surface of block and hemisphere are frictionless. The height at which the body lose contact with the surface of the sphere is
![](data:image/png;base64,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)
A small body of mass
slides down from the top of a hemisphere of radius
. The surface of block and hemisphere are frictionless. The height at which the body lose contact with the surface of the sphere is
![](data:image/png;base64,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)
Physics-General
Physics-
The trajectory of a particle moving in vast maidan is as shown in the figure. The coordinates of a position
are
The coordinates of another point at which the instantaneous velocity is same as the average velocity between the points are
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/905502/1/912003/Picture473.png)
The trajectory of a particle moving in vast maidan is as shown in the figure. The coordinates of a position
are
The coordinates of another point at which the instantaneous velocity is same as the average velocity between the points are
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/905502/1/912003/Picture473.png)
Physics-General
physics-
A point mass
is suspended from a light thread of length
fixed at
, is whirled in a horizontal circle at constant speed as shown. From your point of view, stationary with respect to the mass, the forces on the mass are![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486050/1/911820/Picture463.png)
A point mass
is suspended from a light thread of length
fixed at
, is whirled in a horizontal circle at constant speed as shown. From your point of view, stationary with respect to the mass, the forces on the mass are![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486050/1/911820/Picture463.png)
physics-General
physics-
A particle is projected from a point
with velocity
at an angle of
with horizontal as shown in figure. It strikes the plane
at right angles. The velocity of the particle at the time of collision is
![](data:image/png;base64,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)
A particle is projected from a point
with velocity
at an angle of
with horizontal as shown in figure. It strikes the plane
at right angles. The velocity of the particle at the time of collision is
![](data:image/png;base64,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)
physics-General
chemistry-
Assertion: At constant pressure for the change H2O(s)→H2O(g) work done is negative.
Reason: During phase transition work done is always negative.
Assertion: At constant pressure for the change H2O(s)→H2O(g) work done is negative.
Reason: During phase transition work done is always negative.
chemistry-General
chemistry-
In view of the signs of DG° or the following reactions:
PbO2 +Pb→2PbO,DrG°<0
SnO2 +Sn→2SnO,DrG°>0, which oxidation states are more characteristic for lead and tin?
In view of the signs of DG° or the following reactions:
PbO2 +Pb→2PbO,DrG°<0
SnO2 +Sn→2SnO,DrG°>0, which oxidation states are more characteristic for lead and tin?
chemistry-General
chemistry-
Considerthereaction:4NO2(g) O2(g) →2N2O5(g) ,DH=–111kJ IfN2O5(s)isformedinsteadofN2O5(g)intheabove reaction,theDHvaluewillbe:(given,DHofsublimationfor N2O5is54kJmol )</span
Considerthereaction:4NO2(g) O2(g) →2N2O5(g) ,DH=–111kJ IfN2O5(s)isformedinsteadofN2O5(g)intheabove reaction,theDHvaluewillbe:(given,DHofsublimationfor N2O5is54kJmol )</span
chemistry-General
chemistry-
Thevalueofenthalpychange(DH)forthe reactionC2H5OH(l)+3O2(g)→2CO2(g)+3H2O(l) at 27°Cis–1366.5kJmol–1.The valueofinter- nalenergychangefortheabovereactionat this temperaturewillbe-
Thevalueofenthalpychange(DH)forthe reactionC2H5OH(l)+3O2(g)→2CO2(g)+3H2O(l) at 27°Cis–1366.5kJmol–1.The valueofinter- nalenergychangefortheabovereactionat this temperaturewillbe-
chemistry-General
chemistry-
Fromthethermochemicalreactions,C(graphite)+½O2 →CO;DH=–110.5KJ CO+1/2O2 →CO2;DH=–83.2KJ Theheatofreactionof C(graphite)+O2 →CO2is-
Fromthethermochemicalreactions,C(graphite)+½O2 →CO;DH=–110.5KJ CO+1/2O2 →CO2;DH=–83.2KJ Theheatofreactionof C(graphite)+O2 →CO2is-
chemistry-General
chemistry-
TheDH° for CO2(g) ,CO(g) and H2O(g) are –393.5,–110.5and–241.8Kjmol–1respectively the standard enthalpychange (in KJ) for the reactionCO2(g)+H2(g)→CO(g)+H2O(g)is-
TheDH° for CO2(g) ,CO(g) and H2O(g) are –393.5,–110.5and–241.8Kjmol–1respectively the standard enthalpychange (in KJ) for the reactionCO2(g)+H2(g)→CO(g)+H2O(g)is-
chemistry-General
chemistry-
Which of the followingequationsrespresents standardheatofformationofCH4 ?
Which of the followingequationsrespresents standardheatofformationofCH4 ?
chemistry-General
chemistry-
2molesof COaremixedwith 1moleofO2ina containerof1l.Theycompletelytoform2moles ofCO2.Ifthe pressurein the vesselchanges from70atmto40atm,whatwill bethevalue of DU in kJat500K(The gasesdeviateappreciably from idealbehaviour.) 2CO+O2→2CO2;DH=-560kJ/mol, 1Latm=0.1kJ For theprocessH2O(l)(1 bar,373K)→H2O(g) (1bar,373K),thecorrect setofthermodynamic parametersis-
2molesof COaremixedwith 1moleofO2ina containerof1l.Theycompletelytoform2moles ofCO2.Ifthe pressurein the vesselchanges from70atmto40atm,whatwill bethevalue of DU in kJat500K(The gasesdeviateappreciably from idealbehaviour.) 2CO+O2→2CO2;DH=-560kJ/mol, 1Latm=0.1kJ For theprocessH2O(l)(1 bar,373K)→H2O(g) (1bar,373K),thecorrect setofthermodynamic parametersis-
chemistry-General
chemistry-
The conversion A to B is carried out by the following path:
Given: DS(A→C) =50e.u.,DS(C→D) =30 e.u., DS(B→D) =20e.u. Where e.u.is entropy unit then DS(A→B) is
The conversion A to B is carried out by the following path:
Given: DS(A→C) =50e.u.,DS(C→D) =30 e.u., DS(B→D) =20e.u. Where e.u.is entropy unit then DS(A→B) is
chemistry-General
physics-
Three balls are dropped from the top of a building with equal speed at different angles. When the balls strike ground their velocities are
and
respectively, then
![](data:image/png;base64,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)
Three balls are dropped from the top of a building with equal speed at different angles. When the balls strike ground their velocities are
and
respectively, then
![](data:image/png;base64,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)
physics-General
Maths-
When does the current flow through the following circuit ?
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/429924/1/911658/Picture7.png)
When does the current flow through the following circuit ?
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/429924/1/911658/Picture7.png)
Maths-General