Physics-
General
Easy
Question
A frictionless track
ends in a circular loop of radius
figure. A body slides down the track from point
which is at a height
cm. Maximum value of
for the body to successfully complete the loop is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPMAAACkCAMAAAB1o+hCAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAL9UExURf////T09IWFhX9/f5iYmBgYGKmpqc3NzUhISBYWFri4uNjY2JeXlyAgIMjIyPDw8JSUlMvLy6GhoSgoKN/f3/b29oGBgYODg+Li4i0tLenp6SwsLCUlJTg4OL+/v3t7e7y8vMHBwaysrCsrK0FBQdfX14iIiN3d3fPz8zY2Nm5ubvv7+9PT04KCgjQ0NJCQkP7+/ubm5paWlgUFBURERNTU1Pr6+uXl5Tk5Off397CwsGBgYEBAQPHx8e/v79XV1dnZ2dvb29zc3Nra2vn5+aKiovj4+KSkpCkpKfz8/F5eXgcHB5ycnAAAAFZWVv39/R8fHyoqKhQUFBsbG2JiYgICAhAQEDc3NwQEBFdXVzAwMJ2dnSEhIVxcXAEBARISEpWVlTU1NdDQ0BkZGRoaGgwMDDExMVBQUJ6enk1NTcbGxm1tbefn53x8fGdnZyMjI/Ly8sDAwEpKSszMzIaGhsXFxbq6ure3t7W1tbGxsUxMTI6Ojj8/P9HR0VlZWc/Pz+rq6ujo6MPDw4eHh2lpaSIiIs7OzqamplNTU6+vr3p6esrKyo+Pj9bW1k5OTn19fVhYWHFxceDg4HBwcKOjo7a2trOzsxMTE0tLS5GRkW9vb+Pj41RUVC8vL8TExGVlZRwcHOHh4Xl5eYyMjHNzc4mJicfHx7KysrS0tHJycsLCwr6+vuzs7GRkZJOTk5mZmXZ2dmFhYWhoaGNjY11dXcnJyZ+fn3V1dX5+fqCgoKurq6ioqBUVFaqqqnd3d1VVVWtrayQkJO7u7l9fX1paWuTk5ISEhGpqag0NDVFRUYCAgOvr60ZGRq6urk9PT4uLi+3t7WZmZpubmwoKCvX19WxsbD09PSYmJgMDA6enp3h4eLu7u5qamnR0dJKSklJSUtLS0t7e3h4eHklJSUNDQ0VFRa2trT4+PltbW42NjUJCQicnJxcXFzs7O4qKig8PD7m5uTo6OqWlpb29vTMzMy4uLgsLC0dHRzw8PB0dHTIyMggICBEREQkJCQAAAM5zTqYAAAD/dFJOU///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////AGb8ilkAAAAJcEhZcwAAFxEAABcRAcom8z8AAAqvSURBVHhe7V3btbQsDLUaaMA2rIYaqIcKgLXogGfa4NGHP1xmzuigRgX9/uXs74KeM6JxkxBCYLolEJUPngMxynz0GLB+dPnwKaBEjCwfPwSGMMlpPnkIFKHKm3zyDEiuCPf55BlwykHT7vPZI0BJ0GRv09kTwJQnwYgN/WNsGBXegwMmbd+LpxgxQwEgOovFDz/88MMP/wsYkQ8eBMkfNo4E6OF5RPNB56PHgI4Dz4ePgRyH8WmOpx6GxwU9/TAMj4oYgDpzkPlZkaFOjCDzw6KeoM6g0M/qoYM6P0yhGfRU4/gshZaaaC70o6arKO0s74wm+fwhsNx0rH/W3A3w3NH+WeNJOwLH1+cZOOmclDe96sBzJy/vrQQfCSG9v8U1iDxTffUbN5ozQ5kd78hkiTwbcrnlTvOCQfR4eikiz9c3bpYdXjfcQHTkuWNXN26SIxXujtBU4vlyy62zSyDv4xm80PQMF4HybEDsHX5v5pmqS3sNlwNSbLxjTJd57sil+RXB4wXQW8z2i+eO2evubhjvKfTO0t/j9L54Nuo6YyL7UROi+pDNcgdePHfCXmbFWHC2nbwtDPfiuaP2MXHuN89gxS4j+ma8ee7chVbsXvzx3KmnhIj+eO6kvcqqGOipnKPU3KNNHzx39gKiqRRKa2v73lqr4YiIy73PD56bd1dUgpRWKSKlHD1zUEA3rWxvxaWm5JPnTrd0ukHgQCqN9zP8dV/wxwQB6mOG8TX45Lkh0VQBme5PLDJO1oAYJ+EDVzXyCc+dbuOXUKXVh8AAPQwz42GY0PoaqSc8d0Q1INqonrBZvb40M0hB6isUe8qzaUC07FXS4Q+Euf7JjTOo1Kq9Xk95rk80syX3jowgc5FSSvrmfv+U567r66qU08UlAHGuf2HwymwLBfvEjOdO1LyhEQs+fJzrXwoLmdajnTnPNU03PHxZOV1I3SkqdMLSq6qEOc8VvW6qltqMChIPKyFP2bTX+uK5s5WcMbrsvutRca/5StjR2YZLgb547piuQrRbibuAe+1159a0iDYU+pvnOuPorVCT3wpsm3ZCf/Pc0QrL6jbnCPzmxAlr5n8XeK7gmJjN+a9tmdsFqwo8d+ZsqN1s9/Kgz5toNcwr8Qze07mbue3+zmNylZoMeco8nzVjmNlsDM8wImsSxCjyfC7BxGBmB1A8w3O0sGNlnkGV8sF+gMeZj9aAsGEBTebFyzzDzw+3boryaZAyg1dYX+g8E/yFw94Y+BL5aBUcmUdSw1mYQyy976OtG2nzcfoMqDq4TVicSjg6T4kci6LsdsBpZ2EP3KHWje3a0Ty36qTLOJQ/hQ05oHluotGLMAc8E3QqOJ7nrm5i5sZtD4xs0K8Jz3PHqm6HJAlZrU7uVmmPNTgcz7Op6ozJfuPOe+2HRI+E+h01n3AKC9i6Mzj5u4TGx9L2VEtrNm4TUhBX69un0gbdtHcBNWjBwnFmnFp9zl2h30rhwy/UzDpWPRUi7LO0gj0qjfqsec3Y0bDhEapyVzETtleCmn7DQqh12/4JjEPCBLFp7jEkFyiLyS9g9dwSyr3r6NY69x3aBNVtgRLCyBC7CzlwJu2IMMq0XgjUjXBvubmfAdqOYdamufARMsTXGFsYJp15GiNiYQIf3fZmUGEK2G7rCna0gQj9pWdlcaqKBWnpiOiIPkLHBjSDEOGOEt+D/2c8ogdGGm+BzREQ8SXK0THRe4zmyJenynqvGJP90Vz3qMlswBgRXKR5w5N9IzuTlhOQAPWaXF6iLbmPn5cLEa1NsHA/MA+Yy1FjB6yFF/FzhhO6FJmaI8ts/ItfvLc+RQqR4C5GRbmQgyqZenEH1kQOOL3MMqv35kjoruQMqNq+Dc7bZsGAQAsj0D7N5vRkQhqWm/7izZQRQqNSJ5kFoxtad5xyt7iNQpLMdMeguw625xQwMjMft41Q0g7BYjv4H6FdWWZsgHgdiPu9sembYNq2VBE0lFCdUeD+5l+twKW27ZPVhkdJxSGIXXvQbAmNsdugw/FNgwHNH96+JrSOWIghOArGYF7TIpZmbhawMQt+bjZzDa/+mYyeCLI++t2C2rl52DrT7SLRL5lDmr+Y58vuhNrrz6wyLZvlp9aMiO3lOQi9zHS7leNVAyX7/VYQeumaXTP10xz2dVTNN9jPc9DpxR4VETN4g++YTa+abnCA5yD00vBzR36s2eNfVN0c6AjPoaktdMR75or3+JE1Y4DHeF4Wek+sbgfP2xl2e3CM5/AU5cjJjix/bEIJoO6E1UGeAaTYUeMVeo8+V1Xn99YoByBLI4pZtJAygIN/hbvs0Oe6c3THeQ4ddcG9nk5Yud5boogt9GE7eK6cUXJUnyOM+lbqqXEzdiCMUldq8nh9rtu0T/EMIn2vFaHT51NhrGq6wqjArK1MmOBIiscaTvEMkF8MTrU8RNCZKw6R0TzPXuNpnOMZ8LUALEU0MozXTpTnpPH6XLVzBpzlGViYd1qfREuuhX3Fc2bA2u3qOXGneYZnktPQ36fFAXkNXQjkYHmuTXMFngHMTuz337jPBHUOoewSkPpcPyOuAs8AI/THmPrP6X5tgFf62iSkPiOzhPegCs8Apj9M2dttskMw2YYVfXOcPp9dGVJAHZ4BRul3J5yHBExxroQg5UwCHM8t1iac8LfncH8r1FNcjAohZPxbvAdKn+u37Io8A4Dq1/ZYiMQEjB9W2wNLqKXPCUzb3MAROZAIntF5C7tQk+cAkbdW2Y5sIPS50drBujwDYKwVA4TbzXLTbrdZW1WfZwDYsjDuYBtZZZs8b1VwDKB7Ya7/5PTPN0SUeiUMDhInnlfuzFqYbOiotLQjIzXjqAmGaOU6apenZsE/5ZaSZSaLYYYKcOPoR9/ku5xgtKUYGLIla+EHy71e3qtXYFMP98L0YceM+V5HlcCIJkwszRSTeOelxLav8WlFpG9+adOIQGpllVrgK3630FILo6rhXmLxbSOz0o7AEWjBxbktEzeiKVtuUd6upxJY829yYlKPxe8JiE2spFUwGG+kyhnhbbdR5zcoSF3YKSpsLFXI36FKn8qPQcAu7WhVE8Zp3s/fbFDoL62iYXO1fNwMYmypzn9woNczUwwyz9TZ2e/t5BoA3nbl4PESqPDcq4+Fx9DEPlq8oaTXzTe8THf3OVE2J6ilYnJyopiCMsu5BybT7+UYhzdwYqhUvp/tkZiRPjuveF41EozEzDI92KBBkoQMRCMVCRZEQAEVC6LAY6Zw9irgweEyMKtwNckFXM1ULBwUcPWrrlRAJa+64GrLx5H3YftWIsbRWiiU5pwrRl2qyxGV6ooFPNBHlZMHOgB4wCCz4qFueMBQd5AZXOTXc4J48RapgE9AkwDxgszhyd6FCcKmBwy+pkh1QRGfM1UJdcHVoS5CJOm97zVID4UKK49SlamSWMQqc135gWh8339PchwmG43Je5u+xNfZ6qv9/CXmAhBEwq3Dnz8ULwg/XKvphx/+MVAW8i6e1WiJ92C2m4R//lkYPTLD+kd9y2NnQ3ib3fGtRrfBBIaNvXjt0L1wo5LgjjxKn8EBVPxRLHdxwwzWX7l90u1IC6Bl6yDNP4W0ruuWL6O7DTG5xo31Z8v+Wch+8Ep5XnlP938ajggphUAtNv/hhx9+SOi6/wA/wTVzOuB+SgAAAABJRU5ErkJggg==)
- 5 cm
- 15/4 cm
- 10/3 cm
- 2 cm
The correct answer is: 2 cm
For successfully completing the loop,
![h equals fraction numerator 5 over denominator 4 end fraction R rightwards double arrow R equals fraction numerator 2 h over denominator 5 end fraction equals fraction numerator 2 cross times 5 over denominator 5 end fraction equals 2 c m](data:image/png;base64,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)
Related Questions to study
Physics-
The resultant of a system of forces shown in figure is a force of 10 N parallel to given forces through
, where
equals
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/905679/1/912154/Picture483.png)
The resultant of a system of forces shown in figure is a force of 10 N parallel to given forces through
, where
equals
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/905679/1/912154/Picture483.png)
Physics-General
physics-
The time taken by the projectile to reach from
to
is
then the distance
is equal to
![](data:image/png;base64,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)
The time taken by the projectile to reach from
to
is
then the distance
is equal to
![](data:image/png;base64,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)
physics-General
physics-
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/486055/1/912010/Picture480.png)
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/486055/1/912010/Picture480.png)
physics-General
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
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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
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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
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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