Physics-
General
Easy
Question
A cubic container is filled with a liquid whose refractive index increases linearly from top to bottom. Which of the following represents the path of a ray of light inside the liquid?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/898654/1/3650112/Picture4.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/898654/1/3650113/Picture5.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/898654/1/3650114/Picture6.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/898654/1/3650115/Picture7.png)
The correct answer is: ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/898654/1/3650112/Picture4.png)
Related Questions to study
physics-
A plane mirror is placed at the bottom of a tank containing a liquid of refractive index m . P is a small object at a height h above the mirror. An observer O, vertically above P, outside the liquid, observes P and its image in the mirror. The apparent distance between these two will be
![](data:image/png;base64,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)
A plane mirror is placed at the bottom of a tank containing a liquid of refractive index m . P is a small object at a height h above the mirror. An observer O, vertically above P, outside the liquid, observes P and its image in the mirror. The apparent distance between these two will be
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)
physics-General
physics-
A ray of light travels in the way as shown in the figure. After passing through water, the ray grazes along the water air interface. The value of mg interms of ‘i’ is ![open parentheses mu subscript w end subscript equals 4 divided by 3 close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
A ray of light travels in the way as shown in the figure. After passing through water, the ray grazes along the water air interface. The value of mg interms of ‘i’ is ![open parentheses mu subscript w end subscript equals 4 divided by 3 close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
physics-
A reflecting surface is represented by the equation
. A ray travelling in negative x-direction is directed towards positive y-direction after reflection from the surface at point P. Then co-ordinates of point P are
![](data:image/png;base64,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)
A reflecting surface is represented by the equation
. A ray travelling in negative x-direction is directed towards positive y-direction after reflection from the surface at point P. Then co-ordinates of point P are
![](data:image/png;base64,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)
physics-General
Maths-
If
then principal values of '
' are
If
then principal values of '
' are
Maths-General
Maths-
If
and
is in the first quadrant then
=....
If
and
is in the first quadrant then
=....
Maths-General
Maths-
If
and
lies in
then
=
If
and
lies in
then
=
Maths-General
Maths-
If , then
he principal value of
is
If , then
he principal value of
is
Maths-General
maths-
In a ![straight triangle A B C comma sin to the power of 4 invisible function application A plus sin to the power of 4 invisible function application B plus sin to the power of 4 invisible function application C equals](data:image/png;base64,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)
In a ![straight triangle A B C comma sin to the power of 4 invisible function application A plus sin to the power of 4 invisible function application B plus sin to the power of 4 invisible function application C equals](data:image/png;base64,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)
maths-General
Maths-
If ![4 cos squared space theta equals 3 text then end text theta equals negative midline horizontal ellipsis minus negative](data:image/png;base64,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)
If ![4 cos squared space theta equals 3 text then end text theta equals negative midline horizontal ellipsis minus negative](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANgAAAARCAYAAAC/x2KRAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAA15JREFUeNrtWk9kHFEYf1ZVVJSoWquixKqqiFxi1aoK1UPVitLDHqoi9FBVvfbUa/VQvVZV9FC9RPRQ1UutHiJCxYpYEaqiqir0sCrWCtPvk9/KeN7MezPzZna68378xExm3nvzve83359ZIfIJD+wT14hV4eDgYB0l4n3ipjOFg0N66DkTODikg6vEL84MDqOEm6iBho0KarCpCPfUiavEnxBmLYV1zRM/Eg8QXXeJL4hnEtSceUIWNiwsxomdHGz6BeIHiMwUNThGCcdnid9SWFuLeIt40ndulvhJc9+f/0BgWdmwsHhJXBryplcQIU5HvK9NPCedY6efyWjd3ZiRKk8CG7YNRxqcGnzWbHodaQOnRnvEO4r0kiNgH38bijGmEAUOxHFL3g8W18WIa79GXFacf0e8kYHt+Jl2NOLyAp53cMzrXIdt2caTinGaxB+4hp93LGCs24g8YWPlzYYjDU53tojnQwTGadA+cQEpBKdxb6X0gjd1GsfTOL4sjfM1QHhBzmjyhn+FtE0GpzvXI8wTdd4ycRF1mM4JwyLYkvRiWVQ0d2oQ8STsf4/4XDEWi+uZby9VY+XJhoXAU+IDjTOsEB+GjLGCCCZHtPfSOY5cE5bX3wnZ4HIK9pLneJSgmeFJLyoBAfUVjt6Uzv1SjDVvMFYebFgYcH69ZuAMXU1d1JUK/0FklGuTBczXtLT+UkD9UzKoi5JiAs+zIY4+KcQV2JjB9X8Vjt61VOcN04Zxo6D8P92xrcgb+V52jqrBhngxHUj19hxHStJBqpkEZV/t6MccoqpIwciq59mw3OTwDNdrQ2B5sGFcYcYRWKYwNdC+pQjmx2OR/KdQg9ayjCeoP7JCL2WBcZv/lOU58mbDwsALKIJ1NVhDkQ6ualKTfsK1cvRoK1K3TYXg00yzdzXX9MXx96U4olhGMyQNgeXBhoUXGLei99BpYkfh7yWvpXSCu4aXfE7Hx/WQedhhWhbWu+0TP3fi1hUNF1vgjhx36k7ADtxU+E68q7mvHVB3moqiCnsOOnrcJXxjSWBZ29AJLOD8LGqNQziMHLF4Q3bwtt5GBAtKSXkMbk1XLKx3BuvhebdE+GeApLgijn5l0gNbho7IQvydsG6aQ4PoEPZtWBRYljZ0cHBwSIZ/DlhRiOtj3GIAAAEcdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1uPjQ8L21uPjxtc3VwPjxtaT5jb3M8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPiYjeEEwOzwvbW8+PG1pPiYjeDNCODs8L21pPjxtbz49PC9tbz48bW4+MzwvbW4+PG10ZXh0PiYjeEEwO3RoZW4mI3hBMDs8L210ZXh0PjxtaT4mI3gzQjg7PC9taT48bW8+PTwvbW8+PG1vPiYjeDIyMTI7PC9tbz48bW8+JiN4MjJFRjs8L21vPjxtbz4mI3gyMjEyOzwvbW8+PG1vPiYjeDIyMTI7PC9tbz48L21hdGg+4A26vgAAAABJRU5ErkJggg==)
Maths-General
Maths-
The value of is equal to
The value of is equal to
Maths-General
Maths-
If
and
then the value of
is equal to
If
and
then the value of
is equal to
Maths-General
Maths-
If
Then the roots of the equation
are
If
Then the roots of the equation
are
Maths-General
Maths-
If
,then tan ![alpha tan invisible function application 2 alpha plus tan invisible function application 2 alpha tan invisible function application 4 alpha plus tan invisible function application 4 alpha tan invisible function application alpha equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASAAAAANCAYAAAAJxrPcAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAqdJREFUeNrtWkErBVEUniRJUrKwkJQkWUhZSLKwsZAslIUsJFt/wMJCNrKWelnIQkqShewkSXqblyRJycJCNhZWeqlxjo4a4857d2bOPWbuzFdf3oz7Zr5vvvvunHtnHCe5GAYeAN+BZeA1cNbJDmzyPwF0newi6/7Z8SZwjnPgDLCRtnuBl7Qv959s7V6g/rsE/QDT7P/NyfGN/+pMHcCbBPhKs39p7QXggsB53Qz4t76KagHuAD/ob6Pnf7g9TRfBSz8mgUWaNjzQVEJ1EfFYj3QuvNu3a2r8iKGdI+A0+5fWjt8/1bi2tmbH6V9aO0cmoVBHJf44fT4DbnjuvCXNsHdpuoCYB94qLgSKX6fj/rQ719A4RBrjaDd9F026fyntdVStdVQ5r63ZmfAvqT1KJq4GA7EMXPJs99NI+WNuJELYNTQi+0WOarTzo55G+OGY2iXL+CT6l9K+BlzUOK+t2ZnwL6WdK5NQePaVWQ6NjmPAzRhzUVfzu5WO2Qw8Ii1xtXOM2Gn2L6G9T1GpuRnKzpR/qX4XNZPIGABeKPbj4tmVQoxbpZLCOehnQEcI2zE66cfXxaTd9F006f4ltBcVet0MZWfKv4T2OJlEnoLh3HBPsX8nYM0h6EAFOlY900jcA9wCNlQwHVa7yU6cBv8S2nU7oa3ZmfIvoZ0zE21MAQ99+7ZokepCMZqXaf7oxztjKdgK3AfWMmvn6MRp9i+hXbeNrdmZ8i+hnTMTbTQBn4DdtN6wTaMq4oTKOy/wrVzVC3H3VKoh2oCrwBf6HPZCHFMFwK2doxOn2b+Edt02tmZnyr+Eds5MQgEfr+HjtpLz+xn/nPP35TdcTX8NWHwr0UiN8+BB4Aq15Sxj42jnQJr9S2gP08bG7Ez5l9IunUmOHDlyyOML8UJYjunW1hYAAAF2dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPiYjeDNCMTs8L21pPjxtaT50YW48L21pPjxtbz4mI3gyMDYxOzwvbW8+PG1uPjI8L21uPjxtaT4mI3gzQjE7PC9taT48bW8+KzwvbW8+PG1pPnRhbjwvbWk+PG1vPiYjeDIwNjE7PC9tbz48bW4+MjwvbW4+PG1pPiYjeDNCMTs8L21pPjxtaT50YW48L21pPjxtbz4mI3gyMDYxOzwvbW8+PG1uPjQ8L21uPjxtaT4mI3gzQjE7PC9taT48bW8+KzwvbW8+PG1pPnRhbjwvbWk+PG1vPiYjeDIwNjE7PC9tbz48bW4+NDwvbW4+PG1pPiYjeDNCMTs8L21pPjxtaT50YW48L21pPjxtbz4mI3gyMDYxOzwvbW8+PG1pPiYjeDNCMTs8L21pPjxtbz49PC9tbz48L21hdGg+gFvLkQAAAABJRU5ErkJggg==)
If
,then tan ![alpha tan invisible function application 2 alpha plus tan invisible function application 2 alpha tan invisible function application 4 alpha plus tan invisible function application 4 alpha tan invisible function application alpha equals](data:image/png;base64,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)
Maths-General
Maths-
If the mapping
maps [-1,1] onto [0,2] then for all values of
,
is such that
If the mapping
maps [-1,1] onto [0,2] then for all values of
,
is such that
Maths-General
Maths-
If
then
If
then
Maths-General