Chemistry-
General
Easy
Question
Soda ash is chemically:
The correct answer is: ![N a subscript 2 C O subscript 3 space left parenthesis a n h y d r o u s right parenthesis](data:image/png;base64,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)
Related Questions to study
chemistry-
V versus T curves at constant pressure
and
for an ideal gas are show in fig. which is correct
![](data:image/png;base64,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)
V versus T curves at constant pressure
and
for an ideal gas are show in fig. which is correct
![](data:image/png;base64,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)
chemistry-General
chemistry-
Phenol on treatment with diethyl sulphate in presence of
gives
Phenol on treatment with diethyl sulphate in presence of
gives
chemistry-General
chemistry-
The characteristic group of secondary alcohol is:
The characteristic group of secondary alcohol is:
chemistry-General
chemistry-
Primary amine on treatment with
yields:
Primary amine on treatment with
yields:
chemistry-General
chemistry-
Alcoholic beverages contain
Alcoholic beverages contain
chemistry-General
chemistry-
Product is
Product is
chemistry-General
chemistry-
Ethyl iodide on treatment with dry
will yield:
Ethyl iodide on treatment with dry
will yield:
chemistry-General
maths-
If X is a square matrix of order 3 × 3 and
is a scalar, then adj (
is equal to
If X is a square matrix of order 3 × 3 and
is a scalar, then adj (
is equal to
maths-General
chemistry-
Phenol
forms a tribromo derivative “X ” is
Phenol
forms a tribromo derivative “X ” is
chemistry-General
physics-
The effective focal length of the lens combination shown in figure is - 60 cm The radii of curvature of the curved surfaces of the plano-convex lenses are 12 cm each and refractive index of the material of the lens is 1.5 The refractive index of the liquid is
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X9wDlmCN68wLH84FZV1Ca8UB2rTcYo8qZzCdhktwNeQhUU2Aou2QMtjHyE2/0K0laOn5/FszhuzzFp0lLE4lQIm2SX8NupOIaPnBfYpFAoQV/F7+SP86AtkJvs+3tdwkGnWKYpyDNVALW5IQkJRrJgebuRejhZ6BwZmaQ0/tLFN1lTlKIdyOnCL+B5sQVthIk0PamLsQOcwQ6lZzeVMVs0SNbig2/Yx9TSTeqjoJmWoj6hnTo0D+pMFRFKdakCi4/fSH6dZqpQlSvt6PnysAVmrUBMs2+qBCHZKw/oIAMKL67rAokXpyQgf49lYZ6Hu4R+8vZfdgkVJLTBnir2EizP/4Ez/4FvZFmewCeU2+6UyWl+uuo/8Ke9tHe6G55NpR7cBk7Li/ROKwAYOsv3aEAy8eLl7v7nI5BsFiy9Z18MHUe4CuCDLLyqg0fFgcYN7w5QmI0papAA7AORfY0gymkG8jRI7r0P/YZw1y5QwJxyXyKQFHN+teOGt2AkCy73F5xhjhNOP78t8BBehVbaRjNP8Y5sJXg03XacgZEbaDA3h1bCQrd2gUSIsXmf3RYKkIR6cWH6doGmRkDM0Rb85LYA1dWceU2ywEF/QR9kD39mW8BBE5kl9D70ZYEJCZ4SzKSjddmHgBepjCPSgaFdoE0DzJWkxVwPQSkYZf/UgpGnqGUXKIQbkToKxDEFX4OVTsnftGBmF6hdLWBCttte6oOQF2+MpfopicxkgckTJW4GWMyxxp4bg1GIR9gFEhwHi9NPyEIAUqheGyhkfbvg1jjCZRTAYec5BB+OQx6xbvbz+zCSBYYkoFx8YxuJ4TbuhxLdhVF/gYlGQBzKjAXj0qCBZnC3k6QPI7tAy1Ps4oB0O/adjQCK6N6aZXsyawjG8r3Cbpsx+QBIEBkmQXikLAA0GRjKd3pwHYKv6jfjdFfO+w778LD7brzEiauUfZuaVvJxdoHCdMmy9TjSwMOBGfNYZiO7wFQjEDA3QzFtup+mkTI77xZiMY408rDplOFHnXxWTKXerlOEAT+xeXA8yQLd/gIjH6HFDxzUO4NMXMO/q8MjsMnwn+rgCClLKspveoQaYyom6hhK4FH2A6xR932H50jQUO5DyOS63v+o4xbUyUIRKz1InU2xWB3ISoOE6qAeMmnM+TjCRxww2ItNjq9r0oa+eWdcsFUdXU2mCgiTWGkU7qsSAubDBRTqMMV7sGhIX52+Uvw+lARgKMc4C+SE9lUl6ljh2M0TqgKJo5rPVQFBrfLC1eEUI77UyLQh9Elg7iYdEQoWtzH7Z+/p6hXhPLn1caUYaIHaoLrwxV0YyYJBGgEQgoG0HyRL9dHUixRTH5vDyC4w9hEUOM6JeywJVvV+6MiF2TjCEI1AABbKME31gzDHUBOtp7iAB/sILcp9N8O5c0wni+ETe8z6DgeTIMQY4MeRAOXt4ET+I9gFhHyCE7kGypI78JIZGOHmZqGCfkMY0GvUQZ6x/aNW5wPbay9XThkEI1lgIdT5CiMv1IFrgL7ZrgaT10wW2LzFarJ4TFJLCqaw6JN4eH/BEbypH6MU4Lq95SJN8chxhHPAy3pEH1rFWGzTT02ywHl8wUW8LgVbczsqfoQ3BzltlfzAqO/QQiMADuFs4WRmaw+4yqBcPHIoHjuOcAZgWavKXgIGZ9drKxIYiUPL+sPN6pDzeefTXrFf2nLb5dInr1OIidTtxvDNSGDZkPMqE+9RD+2oa6GOJdqhgFIdE04RdFNVgsjA8j5b7sQQRrLAlgQ08N2HbIO5jOI/IqOB0QSHpjtQw0TkendgO1w1nl1A6FceIN27Bj29DuSME4rs70DIBbJzSjl4gmbWzqt4/DhCF7Reabwp1mu1qfUgwnVZtEVyw/cdzvqlpWzzvIJiWVKslmAbY6EFxvIRJGQOBYd6MfdZajvj36jv0N7TyyvBJu5IwDepKGidcQuM1V/QYro4LRlrj3ziYGqzfkMYPo7QRZiJu5OFtMEbUCTWnpc+CezdJAQPo7tTxrRR1PsPy+Kaw0gWWGsEBFzHVX86tM3Ufu3PUcYRetigWHVBSyme7Ks00jhCB2AgxlqzRe4Dq6R2LUCyYJz+AoWqFgOXwjwDb94XmQOxYtZ36IIEmH/ZXoYBwnqRfsxSZI6x7QJAnrpZEqRxZGXpK0XrXqMWGKWvfAMrwHVSa7sIMK6PQAgnbO8ifW7jiARmssCJWbfDYWCZacEGL0vhRqaM3F+A8LBN3ckGcR8YbRw7WQB1zHGEIwoHYgXXA186mQppJAtckcCFSYPp6d1E9hr1HbrRCHSpbd5DIkUDV4ctklcs55iPogvqPwND2w0JRh1HaAGXElm2bTeAGmysOqX0xQaJXtaw1y2nYQPgAq1XdxdmDcGJRoCbRkj4LrIf9AXco4eYZjp+CEfNvKc5DtZ/BgkcNYQDrRy4EIt2i+byymWnDDbVuQIm9b77hQCuRe41m4V1FUaywBUJng4ZW/zEtFUKoQrBzNVxi5brpitVIAEGUcWOyxHb4hPsAkCe2Vo1L8LZAjPjjiO0QBLYTWAEH8lVZzzJgofOR7gEJIGdeV8BFzgigVHfoSuNQMsEzRIbngJxODzGrI9P6C8AJKDRUiuC/gAucEUCbVngZhxBgldbq4E1bxUsWDo6CRy6SQDwlLbDuWAOFBT6eSpuw0gWONMIIM4WNuIM19jxXWXMGX8cQQL9ZTsusFOqHYw/jiBhp9Swv8RZCOOn+AgASy5wSQJ9LnBLArDxLblAP+SWPI8PNwvJ3Vi97CiD8+h2gbVGMOCCAy+FAKdTHR5R/ospdkXaTJEEurLg62gEAy7IMRX0BYrBKyWs9JeURI2gdu8iwSnY5y8Z52Mj6AuUBbJ4CFAj6HKBDFA798r4NNrXmGk3SsyWlNRkXb5J0/SD/cqD9Bk/9AXIgu04XHDI/cVHElC0Sz6Hj+dmfYQ+Glro4cO4If8GpQBK4QxckG58/5f/08fNP9IrgQNZhltb8fBU9uun32DHob5GSKApLM5IMAVnG18oWDqVkaeoSQLq65uckQCnZKS4zLkMq+yHT7JA9iFzSpl5Qk2SnJ/NWn/H8SjJBVz1PeehnMTcXxxfcS0ak/0g3XwtWFolRHiyC7TauD4X7IgG9RkJVqnI5FL3aGPi4i1dCLnC5Ssu5NwFpSlIMJ1qFykQUHJBoaJvy3qCNOE+LSbf/lKvnp/30FC2fJZO5MKiJtahtkaooM7nDQFYv6N8gQviwD9+fi1lVjy+Djql/iag6Sa7WbcQiiN4AiQBr76x7Q/8T2ATuHro74lELVT/ap6xRb/drJYbinpewuWNrEPyEeZSinm5SvYtRzcU5or1mrczLuA5/P82OQbfo10gL9THeUZFOt87m+B+aDUC9URTZDKQAHi5SuNnkYr4LabfrTHwsZ8OblO+oQx4zw0NZKxQuaHBHD7LtviG8s02O30CJdbC+EwWzHFha1Fn7aA6aASbwWWlEXLk5wzrA7X7Ce2oQq2LWVHkb7Xg5Ry44EPA/muDmbAW21DfNEISwE2LWMZH0FQIeN19QbVQPYIvIHB7JABKUYN+VuupWFqHigsS5AJqnht6iiueLDaEPhdINFglM+sQSIBKdA9NzNvB3eGyZSz+XbB2kOP43HDamUbgHGwUaKlqbSF7H+FEAsUFUDuP41L0x18AOv0iFyDyaC8qsg47Yuo65E3g7clJBEBZJEFTSG+DPlX1ot4s9nH3SQCYViuQQXKGFlzHoiH0SQBccABmhBfZvONA5PHX+zc5Gyz/xsTlmSthlFamDYFW20JBC5S9MSEGg2A+kACAWUnpCzee4j9EAiQl1A7EYXNcbEJB2rPQbi5zAdRjUhj5CEACMmmQBB+lLEFJ9B/xBS4AcPh/aiF2XNDKAhKHdB0pCz4MzsuWgHW9QoIyXelzAVqHQILWmlTtq1KzpI7AmsHrePtgHUp4VU0xUm48RWyNRy643py9a1zgFfViNUULYRAXfCMpW4IV1oO0W0HXXuQCQDBBEthpBP4uuYDsgiWYDThjqwQTRX59BlzSqY135eEUzeZ8SosL8ZplU31PUWqECtdiRXGo2tduOg3/9/QzlanHcITmWnjlMsXauNEIqJnZ1qOUOWyWBJddWVrkTnHBPErrF2BpmTYsn0ym0lPU9hE6XIB295X2BZhe44K8TGN3soC44DkIfgXAzPX24lxYWkcQvpVzu0KoP/wnNKAaze8NKjV8JIOG0GoE8PtQHB5Xs+mDr0AWqJeMIoqD157Q8TQWlOPNjSxA4wTcz3STU6Kv2D8zrxFJlMaYVUz5YcsYg3pm+BhxWmObNOsvUFwAd6/AWRPTMLrMCLRs2U7aaqCoNvwpDzJyyyoWUUYTO1nQ9h0CF4h1U1XJEwd7uFKtsI8D2MpT+HZK1fFCkgLoLLOyovSQ+lygZAHKjrr87uMiFNH2YhtKZuh4LFSqJWj1InxK4PRgXfq+yjRQ/WvLBaiRk3ov19AyBp8F7eS+IVwg4jQuwiCO4/SiOKjSZwGumkpL/pKKaPeUQ+sFqyhup5bayQK8GhraYB3GStQbw2sdCv3Vto+yYFJURZFjPzwYx5fe5GtVNfAp5Pt5BQYFWTCFF/dWrtoKN3ayAMRZ6u/QOhQyVs0CZvEFxAWG2UVbYk+3ymwCcFxGg5zcYeAlyEGQt0nqYIKLWZSJJMHAtwe+m9qTHds20609qAeQIM/EszUJiAvMZIEFA7dAk2ZjVfdG7KEeHNqidW2M+g6RBMCA5wME5tiBXWX39kAmOYs1Muo4k1wwXJK3AC6wJEFFXOAE+rJAkiBvswhYAQ3czPf9DWw//c2vVrU2YDfA9gt/wxfHdYbRnmgLNzTAglxgXw+CmY9gpguuA/tbuqhVume4Rw8+TcynxU+6iIgbb62aawIj69DZyPI5CZjq7oZ79CA2SBpc/KSHjOq9uLaCuCGMrENXsUYh+hDZ5ucm8AP5W6101RwL4Dfu0ALRVbTplfpArxAzOmnV+y7MZIGj1gcveyHfu6Tp4dBlL1VGv+g3mbKnUrmHc5PckMDMLnDUEMDKyoYl7O0ASDA022kf+kpRf2T5LqSJYQfsNpd+mC2IBFr1ccgFSALbS+EMtUs9JObQlwUu6q1g5ykrgOfpIIUF4BNkAZ8ugQRSqA0HxyUx3tQQphWMZIEbuyDB7l575YIre9tn9AF8QgxyKMDksXZxgZSpm/wFnxCDDD4SDSXYAlNgFw5oQA1h1FwmmL+AhhJsgYZtWtozppl16IIEzQZEgXQJ7JCvwdNY2jPm+HYB6HM5mmIPqJIWA9/G+BphA9f5EJw7DC6sTBMSoEZQu1aA62jdTwNAzWxlLRDNrEMHLw8MW+GKBDgqZq9czMKw7RtCGKXp2lG/JwhEUArWknXsWSmgzJ3YMxJ8whyMI4xLAoo1csUEZGXZ5/UxkgXWGsGrosXeiWEvwZulyGx7tI3GFK19BA89XBnr4Ajod6vdoTCTBbYaAfMgb7gTZ0sBQzUs08mOKguo59iFbXwCkMC240RfFjjoOwRZCBehaRktZKPgjTpUoMA4YJr+HBNVypPO2VArGXMzHKPaBRXWV2Bg7IQ+aa2S4b7UuN/Z5MD766ZfrHKiB3REPzWNM9kxllF/gZ1G4FUgmFjSbJAjlvRVGPRnk8Q0mnjABQI7SNXMlRkO/3SxtRpaI1kwTi4TDBkVm7wQ8dtpUzw8D+JOcTtStovksfyl1tEEvbI6nfqcxtC63ocHrIyqETBAaJNTeJyaNAJoFWQuDxXUfQ6qFM+Fn+Pd5SXUFZrZgtU2JCAuGKW/gJaZdasOJEDCpGsLpTDeOAKqg0vh+9Z4AdFgk+trvHEEIKED5/4CchxRkAHwg6BvGtn1GtGE08ylXdjBumYRBdcPwljjCDmNn1gp1esA/1MMnwSurxHQOhyuEUDFLwIXuasvIhT7eDAJRvIR8iq1zWp2C2EWp4MDEPU1glV2qwKltoshpMs4JAHYjurAFPp2gZWbBCw0UfNUHwMQtpP1sBuMoxHmAYv9B6kDiRK4eWBnspEsGOojhFEcOwjYvAVwPYYKmzHGERp/L7N3PBKHWSZU6J4hRugv8H7CLVwlJ7yOgw9qd8gyUmOMI4Co2j5kbd0+1qf5UEYgWfDQ+AJeZbbL/ekB7jNojsrDe428Jl1cm7vrGLje8oAVp/XtAtQIA1oaunGZ2n8wsJ8tuz6D9hr0NQI2BFMSezvKZ56uqI8Hu3lkJ7Cncn0dIdMXNT/UoYLqXw5f1LGE8gl7/Uxw6SrZ/QIbdGJsKD+4vwDTVoCUitP0mbZUhlzmEc6v7UCmL9qqoxYqX36pDhW+UbPivjok4KXLpxy71D/mtLsDI+vQnATUbd6FTFtLqRe6II3+ip5ED7IbtaFpnifQM3rv6qjFFop3OEXb1Fd4bE50TGbEMM9U2m5yKGC+PBbQtiHeOADT0HH70yoSYppjuQxU8mbdMmAv4n/+SzDT1awfqhH4Bl5K3UxxIEh9VArspD2Wf1SlD54qVZ9jSFLSuUKosprNu5cN2xnbfC1iw3HbR/oIjS9ARD+ix/QGmj1bnPLm6eCRGqHAVjAyBZ6mqII2O4OaGtkFhrIA/qO2nnxiCt6AgSQ2Bnyg3xCMxxGaaPRWQMBkiCaOqZEsMCEBb+p9/DI2DyC8xizOW18WmPUaeT/wXTyuw/QmmshkrUmj/gJ9H4FPvwEFnEYVmQDqmmm75w8aR2gw1etm/tDuwhsAucXSF3VwDyQLnPcXkERyMndqGELMwavrNOpzgf44AumlZ1crOAwCxySbtV5b0LcL9N2kF7ROftpEPdiDvJP6h06FH6ERMJORo5WUhyNB6/ybjl1i1F+g5yO8liyVrt+n4iB9tPsVMbMOdR7M81N2TD/xmeAl8EGbDfoGnPcX5LM3uGC1KhTW8j3wCnZ7m6RS2CtUK8B4TbewKNSCemela5U7qv9FUUj3ICyqn5hyN6vuCSXX4whE+h62lIyYMhN2ocKOQMJ08FOxGcqyDqS5ixO1+1D1xlQGHciYm6Ktx93ua8c+gkw23kNNUdKYZ7APSYJ+7WUgJmVx60I6PWeBmAClyTCarwPZcYbWESG91yiNxhTvaoScml+0jWCDD20zycU+lZw+mI0cUHWKom1r2K86ZfChjCZP3rpTRB/Vzs++kKXNEvejbfp2b9lFfbsANcIdg5eXe+wkwRTMCjv40FeUl/mE3Vxl+8JT1M/8lAGsU0o/ndLTBufLcvgCC1rIi3j4PZwUMNFm9bsCs4bQ3vMiPOq/rU3Hc7B+t+uog6tXAGEjk09fhUNZkJcggSf6Tuo4KHAk42aAi5F1eJsEM7iUWhD2C4Hj7G5xa5V7Z/EFtDZPTXmIvha8AhTGrbbgahyB8qk6SjflGhW0hf11g5Vkgf18BLIHvl4rkOBIg/RqWzCzDq9dhdItq0k2XxErsKquduEY2QXXZAGnjirzkf3xUMErWsh5PR9gZB1eIQG1gsmA+I7xgMm7gQ8uygMH8QXSKraYEDAKUC+Ii/aBvml0rdeIo0X0Vn09bXgGlInskky0no/wSvZAdb7e0dcDrpLA3i60BdtxhK9sD5yjyrbiQoeWpY/AfbEHe+DLswCB57vNBVtZXyNcGEcA3xAamLFv+IlIfCaCTZ9p9e2CD24Sl5Omv7Q98AE0xtIfb7TQCE1dgxz42vbAR8gIsG6/spEs6PkIOG7IAv8L+oa3kdB4Y4cGZtbh6YVjHAMT9rkrPwEejjNN2qXOho8jUGCtaYTfF0GCIuw0xjJwHKF6Z3vRLp74n4Ps3jkueYckMI0vkE7HFxg3HAoalWmj4Qb1Gr2gJPzECAp7SNdOqnPKiW42jiAj+z4tjsgNcorBwBWXcAVQA1kArM9JF7D/cCuQ4DhtTgh4JKPM+MAtuR8AD/z7n24FEmFBXQj+q/6SkqBJftGkh39P6+T+xzEFz3E/K0x6jXxwDFGS5pYptb4KPJRqb8gEeiQAT7EO8PTUL8qZ/ztgJtcZRGjFEKFJ9ftCtyH8xtC1C35f6E30XeNK7u3223ye4xg2zdTUNDWyarffBVXzAz7/fSvHEqcugL/4i7/4i7/4i8t4evp/49dqUVpV/w0AAAAASUVORK5CYII=)
The effective focal length of the lens combination shown in figure is - 60 cm The radii of curvature of the curved surfaces of the plano-convex lenses are 12 cm each and refractive index of the material of the lens is 1.5 The refractive index of the liquid is
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)
physics-General
physics-
A ray of ligth enters into a glass slab from air as shown .If refractive of glass slab is given by
where A and B are constants and ‘t’ is the thickness of slab measured from the top surface Find the maximum depth travelled by ray in the slab Assume thickness of slab to be sufficiently large
![](data:image/png;base64,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)
A ray of ligth enters into a glass slab from air as shown .If refractive of glass slab is given by
where A and B are constants and ‘t’ is the thickness of slab measured from the top surface Find the maximum depth travelled by ray in the slab Assume thickness of slab to be sufficiently large
![](data:image/png;base64,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)
physics-General
physics-
The refraction index of an anisotropic medium varies as
A ray of light is incident at the origin just along y-axis (shown in figure) Find the equation of ray in the medium
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)
The refraction index of an anisotropic medium varies as
A ray of light is incident at the origin just along y-axis (shown in figure) Find the equation of ray in the medium
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IpLHz7PUy6fypWr92Mb19yHm6bcDWeevQOHD1iCCZOvAfvf7BKiy0YTd8+vTWXUAhFC/4DqsL8+Kc/R8biwNOP3YlhRw5CeXk5AoEAbrj2crjK3Hj86ZlabMFo5NNJFZ7vqqm5BTt3dX7yyO59q9hFCT4SieC/Jz8IWzaEaQ/cogg9Hx7JNlDfDy/PXag8CXTSmQwcMseTIQSDMscTs3HTFrz+5tv4/dTHSPitWLnqY3I/iYWLl2oxVIoS/MLF72LuizNxA5XwNTU1mm8nsVgUiUgY6UgUyWSn2WoklqSGawahUEj5tXcElR9nIM6Z/ON6P4fxUv/p/pwWT5uT78/rejgvOYPxkn/ZbHZPmO7Paejh+66zO/+X78fb877YzUtez3d/1o+/4eU4/GN3/u9A/tzLxUs+dv7x+sF+OlyY5JMfZgRGp/95aW0P0/XL4YHJU/DHac/iqb/OwppVa7B9V4sWQ8VCoijoDFg8/3HZtXhnyRIsWvgKRhx1hBbSyQcrPsRXThmNE077Kha+9jfNF7hi3C2o8rlxzIj+ynpM61ko9/nh8fCLkxwJIK7M9uf1dtqG2O1uxd/l8sHp9FCGUB9Xdjtv56JjosxF4RyPw5NJLu3s8Pl6IRxuUsK83gD5x+nRb6cL0mmmbLO5aD2hublawF9l8SjHqlhtNv4GN6XEs9kclEaY9uFXwjKZqLK/TIbt/PWRkfky6kZydtqG3yzr3wFw+vpl5v1wYaBvy/48YYR6rnycvG6xZOHweJDaM+Unl00cl7exwea2Y9KkezF48FH47pUXw+WwKyO8hWMJ+DTrVKvVghRlzkzOooS5HFakSBTsl6bd2ylJDivzupXzctgsSKSye+I5aZnJWpQwr9tBGZkyqrad1W6n65+E20XHarUhl80gnsjA53Uq65wRE3Sf+drarDmEoim6327Fjzs9fD4vnQllXvrnJU+YEU8klXQcDqeyPV8Ltve30w55X/o5sUYc5HfU0CPoOunXX6Wu/nQkU3E8++xvcM5Zp2u+nRQs+LVr1+G4407F0SecjiVvzlAOcF8eeXQ6bh4/Dvfc/1tMvPGHmi9w6fcmYOH8tzFogJ0ukAsRErbNZqU0+IWUetOdjgRC4ajiz7CYbDYesSxKbg+5A7TcroXX0rZ2Ekg7XZAOcvvJr4zCWiiOm5a9yX87+SfJXUN+nC4LPkjbZCgDOegCWuH32ygel+YpupBlFN9BYeqTI5120TpniDIKt1A4j4+pPtVcLnZ7lZuRzZLQlDF3+Emg1heTKRafH7G4ep5Oh5fSsiBKhUYmwxkoBrstQ2mqM6Ok01bahtw2Pg66uXG+JnEE6vog1tqq3PxMhjMCHbuTMkbGgYg1iQpLiOLXIEY3v6ayDFUVPmxrDqGukvZHQuP9Z9L0RMpYFRH3rvYjGEmhra0FFgdd0xyda8aCwQ19EaQnbpmbtkmSGD02tAZjqOsVQDhKQqZ0jmioxa7GFkQSObjtlLGtbjS1tqF/fQ3ipEVLLkGlbBRDB/eBzeFGKBJHR1sQdhIvm/t8vHEXRo44Ai3NbWijevUXhh+JNBVEsUQaFeVlSobd3thGmSlD98WPto4oqirLsWNHE3x+L5qaWug6pRGo8KN/v3plqp87b72Rrt/en4+e8c0r0Ni4G2uXv6r57E3Bgp/32gJcdP5oXH7VeDzxh3s130466IKNufgqbN+8Gm++8SoaGgZoIcC4G26nKkwUvxj/fdRUBbCVTsJDJYbX2zkEX4XfjY1bdir+TCye2s+d78fbRqNhNLe0o6xMnRQgP47un+/HS65G1VQHsGNnE4YcMQgtdNPa2tpJtA4lfnVVpeLH8fR09XAd3p7hfXBmqaxU13kbhuvV5eV+NO5uVfbLbk5r585de47F7eankrpP3o630f14O6YywBlZncmct2PYj9e37WjEkMENe+LraeqznrN7/cYt6Fev9uK0tLbTuQWUdKLRCPrW16GtXa3/c5r5bk6D4+fH6V1bpeynhTKgn8TW1hEiMbuU9PlYdCM23kc++vnqx6sfO2/X0U7XntIZSFrRjyv/GNnNx+H1qvdBP279Xoz6+mlKAaHDGrzg8h9i84YNWLnsdeW67/sEKFjwS955H18/4wyM/8Uk3HvnBM1Xhet1U594HhN/9mPccceduO3mH2shKj+Z+Cul++zWm36k+QhC6QiHw0pJ/8zzc5X3QvNmPoEX576CaiqIjv3i8L1E35k9umDEUUPQr/8wLFq0jHJSZ88AN9DeX7Ea9zz0JI4/7TyM+/6lWkgnXO/rq5U0glBKuH3x3HMzMGvWS3hr4VL8/je/gK+iHq/Mm4enn31xv0Z2wYKvqKjA+Jt+ik83bMT0Z2Zjzccb8OHqf2Ee1c0ffOTPuODsL+OPD96OXr32t4ws95VJt6RgCNxj9pe/TMe0aU/hrtuuR319PS669DKsXL4U13zvkr2qPEzBVRqd3/xuGl6Z8yZOOeNkpKjo/uiTbRh3+Tdw/phRWoz9uYbq8CeMHI7rrvlPzUcQSkdbW5uy1Icd5B5FLvl9vv2HaS9a8AzXmZqbW5TGmsvlUhpIB+Pm2+7FcKoSXX3l/tUdQTCTgqs0+XDOGTiwQanmdCV2xmJzKC9TBKG7+VyCL5bdzeojRxC6G1MEb7dZ6akgE+gK3Y8pgnfYLWhvlwGDhO7HFME3NgX3elMpCN2FKYJPJNmmRey2he7HFMEHQ2GZAUToEZgi+CGD+suHCkKPwBTBs71NVCbQFXoA5jRamzsQTagfWwhCd2KK4G1WK4YdOVhbE4TuwxTB8xdGLumWFHoApgieR8eKxaVKI3Q/pgjeQyW8IPQETBF8MCxD7Qk9A8MFz1+a797ViKBMeyP0AAwX/Kdbt2HDR6vw4pw3lK9QBKE7MVzwbyxYRv9JzJ09B7saZfB+oXsxVPD8hvXJ6TywKg9UFMdbC1n8gtB9GCr4DRs2YfnixeTiz2YtWLJsRY8dm1A4PDBM8CzsWS/PJxf3v/O4gC48Pv0FhKXHRuhGDBN8MBjGpMn/Sy59ukoq2Tu2U51+7+GLBcFMDBE8j1Aw++U3SOBbaU0fNptLegd+dttkZTBVQegODBE8D0b6y7umoKrKid69eYg9G+r69EH//jUIbV+HGc+/LHV5oVswRPBL312BslwCd949GY9OexgWezWmPvY7vPTSc7joW5fgjtunKkOkCYLZfK6Rx7piy5YtyiBNPO8Tl+RVQ0bhmUfvwOhRX1PCZ8ycg2+cdfp+U+YIgtEYUsI3NDQoYmd4nL9UUwjZvCrMty4aI2IXugXDeml0vF4v6obWISkT6Ao9AMMFz/YzPH1NXV2t5iMI3YfhgucJrBqb2mUwVaFHYLjglVnXfF5EImHNRxC6DxMEb4XXmkPvGnWwekHoTgwXPFtMNm3qwK4mGTJb6H5METwj3ZBCT8BwwQtCT8I0wYvtjNATMFzwitAtbC4sEyII3Y/hglfmZw3w9OtShxe6H8MFr8z935ZCKCTDZQvdj+GC5znwgQz61lWrHoLQjRgueB6ICRYL1eU1D0HoNoD/A6hqt3ueAZHJAAAAAElFTkSuQmCC)
physics-General
physics-
Due to a vertical temperature gradient in the atmosphere, the index of refraction varies Suppose index of refraction varies as
is the index of refraction at the surface and a
A person of height h = 2.0 m stands on a level surface Beyond what distance will he not see the runway?
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Due to a vertical temperature gradient in the atmosphere, the index of refraction varies Suppose index of refraction varies as
is the index of refraction at the surface and a
A person of height h = 2.0 m stands on a level surface Beyond what distance will he not see the runway?
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physics-General
physics-
Find the variation of refractive index assuming it to be a function of y such that a ray entering origin at grazing incidence follows a parabolic path y = x2 as shown in fig
![](data:image/png;base64,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)
Find the variation of refractive index assuming it to be a function of y such that a ray entering origin at grazing incidence follows a parabolic path y = x2 as shown in fig
![](data:image/png;base64,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)
physics-General
chemistry-
Metal oxides which decomposes on heating is
Metal oxides which decomposes on heating is
chemistry-General