Maths-
General
Easy
Question
find the value of x in given figure.
and ![text PI|Q end text](data:image/png;base64,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)
![](data:image/png;base64,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)
- 45°
- 55°
- 65°
- 75°
The correct answer is: 75°
Related Questions to study
maths-
find the value of x in given figure.![text PIIQ. end text](data:image/png;base64,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)
![](data:image/png;base64,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)
find the value of x in given figure.![text PIIQ. end text](data:image/png;base64,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)
![](data:image/png;base64,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)
maths-General
maths-
if
find the value of x in given figure.
![](data:image/png;base64,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)
if
find the value of x in given figure.
![](data:image/png;base64,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)
maths-General
Maths-
if
find the value of ‘x’ in the given figure.
![](data:image/png;base64,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)
if
find the value of ‘x’ in the given figure.
![](data:image/png;base64,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)
Maths-General
Maths-
In
then find
in the figure.
![](data:image/png;base64,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)
In
then find
in the figure.
![](data:image/png;base64,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)
Maths-General
Maths-
if y=2x,z=3x,r=4x then find y in the given figure.
![](data:image/png;base64,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)
if y=2x,z=3x,r=4x then find y in the given figure.
![](data:image/png;base64,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)
Maths-General
Maths-
In the given figure, if
find x y z
![](data:image/png;base64,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)
In the given figure, if
find x y z
![](data:image/png;base64,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)
Maths-General
Maths-
Find the value of a+b in the given figure
![](data:image/png;base64,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)
Find the value of a+b in the given figure
![](data:image/png;base64,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)
Maths-General
physics-
The figure shows a ray incident at an angle . If the plot drawn shown the variation of
versus
, (r=angle of refraction
The figure shows a ray incident at an angle . If the plot drawn shown the variation of
versus
, (r=angle of refraction
physics-General
physics-
The refracting media are separated by a spherical interface as shown in the figure. PP' is the principal axis,
and
are the refractive indices of medium of incidence and medium of refraction respectively. Then :
![](data:image/png;base64,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)
The refracting media are separated by a spherical interface as shown in the figure. PP' is the principal axis,
and
are the refractive indices of medium of incidence and medium of refraction respectively. Then :
![](data:image/png;base64,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)
physics-General
physics-
In the figure shown a point object 0 is placed in air on the principal axis. The radius of curvature of the spherical surface is 60 cm. If is the final image formed after all the refractions and reflections.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQQAAACvCAMAAAAselChAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///wAAAPf37zo6OlpSUq2trebe3tbW3hkZGSkpKToQWjpaGYxaWqVajEJajHNajBBajDExKaUpWqVaMWtaMWspWqUIWmsIWkKtWkqtnKXvGUKtGUrvnKWlGULvGaUZrUIZraUp3kIp3hBjUnPvWhCtWnPvGRCtGXMZrRAZrXOlWnvvnBDvWnOlGRDvGXMp3hAp3nvv3nuU70rO3kLOWqWEWkrOnKWEGULOGaUI3kII3hDOWnOEGRDOGXMI3hAI3mNraxBCGYScjKVa761aWkJa76VarUJarXNarRBarXNa7xBa7973zs7OzqVazkJaznNazhBazoSEhKWMlK3v3q2U7+8ZEM4ZEAgQCMXFvToQEBAQYxAQOt73a973EObv7xBjGe9aEO/OEO+U5u+UEBmM7xmMrc5aEM7OEM6U5s6UEBmMzhmMjJRaEFpaEKWllDpSQjo6SrW9te8ZMe9rpe8pY+8ppc5rpc4pY84ppc4ZMe9Kpe8IY+8Ipc5Kpc4IY84IpWNjWt73nO/OtXulpd73QqXOa0qM70KMa0qMraXOKUKMKaUpjEIpjBBCY3POaxCMa3POKRCMKXMpjBApjHvOrXvO73ulzu/OlKXOSkqMzkKMSkqMjKXOCEKMCKUIjEIIjBBCQnPOShCMSnPOCBCMCHMIjBAIjHvOjHvOznuEznOEUu/Oc+9r5u9ac+9aMe/OMe8p5qUpKe+15u+UMe+Uc2spKe+ctRmt7xmtrRnv7xnvrc7Oc85r5s5ac84p5qUIKc6Uc2sIKc6ctRnO7xnOrXN7c+/OUu9K5u9aUs5aMc7OMe8I5qUpCM615s6UMe+UUmspCO+clBmtzhmtjBnvzhnvjM7OUs5K5s5aUs4I5qUICM6UUmsICM6clBnOzhnOjM7OnLVaEHtaEK3vra3O762lzq3FlK3vjK3Ozq2EzqXvazpaY0rv70Lva0qt76Wla6XvSkrvzkLvSkqtzqWlSnuEpa2MrTo6EDoQMWNKa+/W9973/wgAEP/v/wAAALRgLUsAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAK80lEQVR4Xu2dzXKjOhOGLYwEWuqOKK+tjbyBlS5BJd2Bb45b+SpVs7ar7BPqkwTYTIITyAg1cw6PHY+YJCYWUr/drR92GxsbGxsbGxsAyO7f/zIpq4vFqU13NrnGKicaRSG150qkOSnenndN4BIJKROZ3O3Xcq+8vB35VQhDVtgQBKKunTbtkb1WoV+7dyZ0fxFmlcZHFkiTrrwspEzbelkdUqMi0p9G6LkrrQxCkeiKi5OVt67UxGl6E+EUnbri8rQtQZI3IdakDrxEh64YAV4WxGAh8KrUwfaFeO3AnY6JE16ZOsS0Bw6S/1qdPjYsZl+wEOo8xlWR/JrXF5JeSGVlS4+jGVib0JWStbSIGtVdaQqNYHnnT1Rix/e0FLM/SNsSEs6V6CMpYISPZqaS4BrfkL+QjbVtOj3pWb/vycqiMeokVPbw0GHhiM25ktIJe5r7Yt1g5Y7QXLF36nC4Zt0RPKQs711xCCEJN8/eTkzlMe0fLnz/qeo2AWPKuW06K9NVqYNGuCsNwaVWGunHX4rrWgj3vLqKIa0V6L09zMaq8SsI7d3mVVCPOwhVzjAXqOoOf0Oq3Aebsg+3it7UT4bnfQC1hsxShXRX+oC2xo6Ujwri6or9wzb8pkoRs5/f2wOLSWcHQcfc29Ksuq5AHSQrX3wAF+GQ8uE+8Ov/sHKPN38oXB8SlTftpJgfCGZ5sasOp0P3drCIl94ycy0hf+U/yFz1huFe/yAOJJQKhdcRQPJXncG2BNvPSXmxJc4/d1vCyA77+kt8GDS3LTh1WImH8JXAu06bOZugTiqtBwIirSaQs60drw2yOFvROJ9mmjeSr0YdzGt3GVNdSUFTUlGyS8uBW8MpK1ylSP+7glpyOrdhZw91uEOrg85f/gVylzQuNEouVNrKGv5ccm9bcvuSPFPTM+jUwSVWgNVBoU7jvsJ5gyIN3X+dOmQHoZziwsJoV/iSusDX4E3Wxg61wCMWNzZq1F/+CE/5AnnArLw94xJAJH0pj0N4SRljoVsteRhGWBSa9MmqCzFGeDMWkOyRWZLz3c2AUDbJ2mnXZ7JXfuVP6XKMEmMFaRonSYOlZmlR1KEvl8ssEVyfsAFtCOx94um5G0DvysFw6lCDj7zgNksIRZb/WoE61NPM4lKQ1mOERVKfKQVjoA5wXYLD9oZeHXbmqkYzeFEQs5PkYbEtQRI3Kg2pDtQGyJAQqkV9hVUHAtwbbEuAH3c4TPSUFmMNo9LpVE9pKZ6j0qEnEU9+O0lZV4KibwlcXUL6K0QUaaGm1QOOOy1lBBc7cGNtY0UCeo6YnqTkmk1q5gLWXbQQuj/UKvCoNG6n28j8OYT6BboMnTOci1WH8OPyrMsbTwqQJZuUU1qSJdQh6+eKkNdDSk/4rNk5i/CMHcKpA0bdgI4s8++tAo86ZXGUPrOUBRyVVr0HeKfl9zWLJ6WZF8X5CdyoWlXHYOaJP7vD/vtKgBcH2xKYEqe3oPZZlt3cKz7FAyhezUmIR5br8Opw6ibWiHJCiJwCh5CWRWIHqZmt2URNGh6emGxfkoE6hETdzsWtntTGSnA34aEOBIugRjohE91w+Q4/BObUgeDrQRigCSsSOqNi8avhFA5eAceCsknBIXhayWLVIWBuLWnsQ1rfs13ZepP26OunrwT3S41bBDr+tTC26+bnYCG0YprtmXZP6hffIrbf2yP3aP9pvzso2G+j3L3ar/3evcT+cufWAYfmr27aFGX2Qcu2EnJ/6P7HPz4W7NP+YGl/vv3FV19LP/adRBKOQ6qDaivhez/hisDzSm7ilo34OFbiwEMaR+n7wwQ/zNYWeCRt1UELccHBR58yzeiUVb7yEXICQso0aHbxyTTNIXj+ap3gQM9ZsjZhBZXwjB1APMYDKidlYxeljyKtOoDkNrAVSvBK8FEkUYfTAWgnCVlMSTosi1UHVQvcrhoBgJ9q4MkJlqzUFYGqAYtCNXyi1TtLgAj0es1PNJ7rHWAwqVkmtzWHXh1kFd5rnEYzbWr3knh1kFioK8xOEhUj6W8rWSCw6oDrGr9Bpb0viBzGV75GJMuZmbu0OCQKcfgRWZLDmiUuGpnvuwMoBrEDDLYfpgh4DOoxAgWkDjjnuxP0FD6nDok0QmAMcjlO6O05qQMKpw5uSitUg/TSQF8vC41Clu8xpDpIF7pBhw/QmSWZ2UYAPdUfOnbwUxkaBus0Pla+cJiFwu1SB+D+4NZKJ8fqIIA8Z+wncjxmOcFwzLW51KeMdLu3RsdXffNyM5UoZJSFntQ7i0z4T29AMyvQO2kcrLNkaUCn+69CHSygUzp7dWiOMOpguuUAE7cOWAanDjvydq0VWF6lBQNGUVYdrkqICmqfoccmYZJRsMx/Rvegm21dHjObKziBICWsYVTPBKMG8xXA02uXxycnJZTb2KuDlDCj0sPtcQuoSf/tqDTHAuj+Bm3s0HIvgSa8u1FpdREYKHKwUeQgtamAku9ZrvFgB9joDAyjRcN0iEXWO8yA/DatmpQgzsJC6x0m49NrTxRIYqFvCQ2phu0yGurDPJVb5L3sPe2otMEHATPu8PQYWxL2Ht8s+HEHcQJLu6vhNpsODqCTnDLDIQcePmHe3SqyqHiPEVAize3TdTeIRvbbfD4BkLEtCNVg1/Yo9LFD4PUOkxndYkmguLvd+JbAVej1DpPJRvcVrOPWglUHUS+w3mEqzfiHrVHMXVN5vufLrHeYxjCKHFLHujmeA/recKIdd/iMQPGUchA7gNiE36PIIQrNvm3JT3msd3iDySyR11tR4/w9Uhbe77hFlDoFXircqL1m+tWHkILttd95tzm+NkgZQ3UUkXCZJacO/3THgeBumXCpXtbrvXBLBq08qvdxw+iROo55POY6vDo0wq2QLYXBBo9jzNn9CK0OX+eShH2X7leWw1wXWIeV+MuMym6t8Djlu3t919+sezHdquulCe8oGebeN0+L2/mWFuMP7auoMN9Nrq/cO3Rvs9g/5/TrS/EzfH+4HbujEfje/gDFu4YDempLw1PbG/xdoUdRue0t57vzBpa4Bmuh4RnnA5/P38muR3LTffPwr66ED2A2boCvUENvEBC6H+/8/n+rq8KH2Ek12yCxsgoZxR9rKdz92z5ztG6z9GZ0/i3d/hyc2xPrSB1SEpKOz0m6IF45QS2dh93YerLXpX1GofVsRYzYEad1Ssc35FNIe68pd7unRIexdveX2bfPmo+7eRNBerQ7YO39Z0S1/n3PG7/5jt+DZ7knsyf1Z2fLz1jyPSH1LUGOZDJ9k6QisTYyke7Fl5zJ7B9LPZ07Y8/9bs+9NNLf4jB1S974/mN7MAXZJd4wFrHswJMEuxNHCVTbjcUKt1eETD/uGNFmljJ1VepP+uXPbk6R2LMq/JPbcc/mTt3GzNqrg/g4hdmqQ1f6A0gdwbL9IQKdrQ7m7pKLjyNs1Q/udvoJCTblazryjGiRavd3ikl3wZsN/hsiEM4T6Xvep5aAA+yoQu7mrwrDPrUE/Me2WdZ1Mf/O6pB8agl/THPWiWR/VSwa3iZgt9rc24QGdDxxOjKloQe/a7dTuqsEUlD0K344Ph9ZBb/TUuqcEFcJB8FtNPZXtIXgeBfBqkPiTOOkLcP/hRjE7km/whbHnu20FmqUn2/doKWA3+UTCK6yY2tuyeepcP85GsB7/K0GA7mibSVwKxPkv6kODxRNU81A92EAJ7kKy8Q7sW1sbGxsbGxsbGxsbGxsgLLb/R8RaDgFIahdUgAAAABJRU5ErkJggg==)
In the figure shown a point object 0 is placed in air on the principal axis. The radius of curvature of the spherical surface is 60 cm. If is the final image formed after all the refractions and reflections.
![](data:image/png;base64,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)
physics-General
physics-
In the diagram shown, a ray of light is incident on the interface between 1 and 2 at angle slightly greater than critical angle. The light suffers total internal reflection at this interface. After that the light ray falls at the interface of 1 and 3, and again it suffers total internal reflection. Which of the following relations should hold true?
![](data:image/png;base64,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)
In the diagram shown, a ray of light is incident on the interface between 1 and 2 at angle slightly greater than critical angle. The light suffers total internal reflection at this interface. After that the light ray falls at the interface of 1 and 3, and again it suffers total internal reflection. Which of the following relations should hold true?
![](data:image/png;base64,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)
physics-General
physics-
A curved surface of radius
separates two medium of refractive indices
and
as shown in figures A and B
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/556774/1/1047237/Picture105.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/556774/1/1047237/Picture107.png)
Identify the correct statement (s) related to the formation of images of a real object placed at x from the pole of the concave surface, as shown in figure B
A curved surface of radius
separates two medium of refractive indices
and
as shown in figures A and B
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/556774/1/1047237/Picture105.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/556774/1/1047237/Picture107.png)
Identify the correct statement (s) related to the formation of images of a real object placed at x from the pole of the concave surface, as shown in figure B
physics-General
physics-
Three right angled prisms of refractive indices
and
are fixed together using an optical glue as shown in figure. If a ray passes through the prisms without suffering any deviation, then
![](data:image/png;base64,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)
Three right angled prisms of refractive indices
and
are fixed together using an optical glue as shown in figure. If a ray passes through the prisms without suffering any deviation, then
![](data:image/png;base64,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)
physics-General
physics-
In n similar thin prisms of same material and refractive index are arranged in series as shown :
![](data:image/png;base64,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)
In n similar thin prisms of same material and refractive index are arranged in series as shown :
![](data:image/png;base64,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)
physics-General
physics-
Figure shows the graph of angle of deviation
versus angle of incidence i for a light ray striking a prism. The prism angle is :
![](data:image/png;base64,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)
Figure shows the graph of angle of deviation
versus angle of incidence i for a light ray striking a prism. The prism angle is :
![](data:image/png;base64,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)
physics-General