Turito Academy

Test Prep

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Diethyl sulphate in the presence of NaOH acts as alkylating agent, it causes alkylation of phenol to give ethyl phenyl ether which is also called phenetole.<img 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class="Wirisformula" alt="C subscript 6 H subscript 5 O H plus N a O H rightwards arrow C subscript 6 H subscript 5 O to the power of minus N a to the power of plus plus H subscript 2 O" width="298" height="19" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»C«/mi»«mn»6«/mn»«/msub»«msub»«mi»H«/mi»«mn»5«/mn»«/msub»«mi»O«/mi»«mi»H«/mi»«mo»+«/mo»«mi»N«/mi»«mi»a«/mi»«mi»O«/mi»«mi»H«/mi»«mo»§#8594;«/mo»«msub»«mi»C«/mi»«mn»6«/mn»«/msub»«msub»«mi»H«/mi»«mn»5«/mn»«/msub»«msup»«mi»O«/mi»«mo»-«/mo»«/msup»«mi»N«/mi»«msup»«mi»a«/mi»«mo»+«/mo»«/msup»«mo»+«/mo»«msub»«mi»H«/mi»«mn»2«/mn»«/msub»«mi»O«/mi»«/math»'/> <img 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" alt="" />

Phenol on treatment with diethyl sulphate in presence of <img src="data:image/png;base64,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" class="Wirisformula" alt="N a O H space" width="50" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»N«/mi»«mi»a«/mi»«mi»O«/mi»«mi»H«/mi»«mo»§#160;«/mo»«/math»'/>gives

Solution for the question - phenol on treatment with diethyl sulphate in presence of naoh gives diethyl etherdiphenyl etheranisolephenetole

Phenol on treatment with diethyl sulphate in presence of naoh-Turito

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General formula for alcohols is <img src="data:image/png;base64,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" class="Wirisformula" alt="C subscript n H subscript left parenthesis 2 n plus 1 right parenthesis O H" width="115" height="20" style="vertical-align:-6px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»C«/mi»«mi»n«/mi»«/msub»«msub»«mi»H«/mi»«mo»(«/mo»«/msub»«mn»2«/mn»«mi»n«/mi»«mo»+«/mo»«mn»1«/mn»«mo»)«/mo»«mi»O«/mi»«mi»H«/mi»«/math»'/> Primary alcohols have <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFoAAAARCAYAAABdN7utAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAqFJREFUeNrtl09EZVEcx6/neUbyyKyeZEiSMUYko0UypEWSJ1rMKokWo0USGWNkpM0YLTKGJEnGkDFa5G2SZLQbGUlGtEiSDE+eZ2RE8z184zjdc849991bXfryWbz3+91zfuff7/yO50WnevAB/AJ/wRGYAjWKn7ClNG2YbDY9BwvgDJTAEngaop9KYohd42ANtEtB1oFRsCj5NYBdTRsmm03vwCpoZf+CPBf7hUM/lcQQuybAfEBfMfivIWwmvQVzGttLnrC4Y4hdjeAQpAP6T3JhXG2m/n9bjnpJSV+uMVQxJf4BF+Ab+KT4TXLB34NT+m2CXFQT/ZHpIahWuGtcbab+Ryw+60xpYWIQG2iLk5omY+BS8VvhhpvgooqFn4nydOwzrwXVAbgyUOvY/x54YvE5BtmQMYjcP60ZR075rV68WZ6mG7oKgKwUj0hQCf+yxpbmbe85tmf7RrR7XkEMIg08toxDF8cj3US7KuPYkLj9NzS2Nua0qPvvB8shY2gBPzTj2DT8ltvbiCp1lHlZBNErpdSz2a5P0T+w7ZOiUrSZLsJtpbxziaFPWSSdn67NMaaeSLTAGjqIZsGQwTZsSBGvwY6PTdTug5rv3viUfS4x9Gous2WljVmfGDKsxyOrOsRFVOSgaqTc1MNF6JR8v4NuTTurBtu1LjQPDFHeDUglZjMnw6+2dokhy1dms9SuKO1OQIfS5oE01lr+Nxh1Ld3A526JR/2cAakDKnIR/GSyeRzYlsZWx0Utstb9wvzo2o+frZevS5GifoIu9pFSvstzsi/5QMp7CVSOubb+HsTyTEknGU504tXIPJy7g76bwGep71YueJPk0800kWiJARaUx8ZtqpoXXZl1coE7WtYAfRKtgrJ7HhSTbC/TROk/4ES/EisBElEAAACcdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPi08L21vPjxtaT5DPC9taT48bXN1Yj48bWk+SDwvbWk+PG1uPjI8L21uPjwvbXN1Yj48bWk+TzwvbWk+PG1pPkg8L21pPjxtaT5nPC9taT48bWk+cDwvbWk+PC9tYXRoPt33ObwAAAAASUVORK5CYII=" class="Wirisformula" alt="negative C H subscript 2 O H g p" width="90" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»-«/mo»«mi»C«/mi»«msub»«mi»H«/mi»«mn»2«/mn»«/msub»«mi»O«/mi»«mi»H«/mi»«mi»g«/mi»«mi»p«/mi»«/math»'/> .Secondary

The characteristic group of secondary alcohol is:

Solution for the question - the characteristic group of secondary alcohol is:

The characteristic group of secondary alcohol is:-Turito

Primary amine on treatment with <img src="data:image/png;base64,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" class="Wirisformula" alt="N a N O subscript 2" width="54" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»N«/mi»«mi»a«/mi»«mi»N«/mi»«msub»«mi»O«/mi»«mn»2«/mn»«/msub»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="a n d space H C l space" width="67" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mi»n«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mi»H«/mi»«mi»C«/mi»«mi»l«/mi»«mo»§#160;«/mo»«/math»'/> yields:

Solution for the question - primary amine on treatment with nano_(2) and hcl yields: primary alcoholsecondary alcoholammonianitro compound

Primary amine on treatment with nano_(2) and hcl yields: -Turito

Solution for the question - alcoholic beverages contain methyl alcoholethyl alcohol_n_-propyl alcoholisopropyl alcohol

Alcoholic beverages contain-Turito

<img src="data:image/png;base64,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" alt="" />Product is

Product is-Turito

Ethyl iodide on treatment with dry  <img src="data:image/png;base64,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" class="Wirisformula" alt="A g subscript 2 O" width="43" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»A«/mi»«msub»«mi»g«/mi»«mn»2«/mn»«/msub»«mi»O«/mi»«/math»'/> will yield:

Solution for the question - ethyl iodide on treatment with dry ag_(2)o will yield: ethyleneethyl methyl etherdiethyl etherethyl alcohol

Ethyl iodide on treatment with dry ag_(2)o will yield: -Turito

By fundamental property, <img src="data:image/png;base64,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" class="Wirisformula" alt="a d j left parenthesis lambda X right parenthesis equals lambda to the power of n minus 1 end exponent left parenthesis a d j X right parenthesis" width="156" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»a«/mi»«mi»d«/mi»«mi»j«/mi»«mo»(«/mo»«mi»λ«/mi»«mi»X«/mi»«mo»)«/mo»«mo»=«/mo»«msup»«mrow»«mi»λ«/mi»«/mrow»«mrow»«mi»n«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«mo»(«/mo»«mi»a«/mi»«mi»d«/mi»«mi»j«/mi»«mi»X«/mi»«mo»)«/mo»«/math»'/>. Here <img src="data:image/png;base64,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" class="Wirisformula" alt="n equals 3" width="38" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»n«/mi»«mo»=«/mo»«mn»3«/mn»«/math»'/> \<img src="data:image/png;base64,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" class="Wirisformula" alt="a d j left parenthesis lambda X right parenthesis equals lambda to the power of 3 minus 1 end exponent left parenthesis a d j X right parenthesis" width="156" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»a«/mi»«mi»d«/mi»«mi»j«/mi»«mo»(«/mo»«mi»λ«/mi»«mi»X«/mi»«mo»)«/mo»«mo»=«/mo»«msup»«mrow»«mi»λ«/mi»«/mrow»«mrow»«mn»3«/mn»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«mo»(«/mo»«mi»a«/mi»«mi»d«/mi»«mi»j«/mi»«mi»X«/mi»«mo»)«/mo»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="a d j left parenthesis lambda X right parenthesis equals lambda to the power of 2 end exponent left parenthesis a d j X right parenthesis" width="135" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»a«/mi»«mi»d«/mi»«mi»j«/mi»«mo»(«/mo»«mi»λ«/mi»«mi»X«/mi»«mo»)«/mo»«mo»=«/mo»«msup»«mrow»«mi»λ«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«mo»(«/mo»«mi»a«/mi»«mi»d«/mi»«mi»j«/mi»«mi»X«/mi»«mo»)«/mo»«/math»'/>.

If X is a square matrix of order 3 × 3 and <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAANCAYAAACQN/8FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAHZJREFUeNpjYEAAJiC+BcS2DEQAFiBeCsTCxCj2AOJaYhSCnHCOgUhwlBi3ZgBxCRDPxadIBYg3QNkHgZgHl9t2A7E4lF8NxGnYFDYDcSQS3xiID6MrsgTiNVg030cOU5A7TuII5C5k6xcCcRAOz+kB8XEGUgAA3BsQpUbmebIAAABPdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPiYjeDNCQjs8L21pPjwvbWF0aD6tkH33AAAAAElFTkSuQmCC" class="Wirisformula" alt="lambda" width="10" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»λ«/mi»«/math»'/> is a scalar, then adj (<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABkAAAAQCAYAAADj5tSrAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAS1JREFUeNpjYKA+6ADiLAY6gKNArIdNggmIbwGxLQHNKnjkQXLbgNgOiA/jUsQCxEuBWBiHvAYQr8MhJwnEu5H0giwxxmWRBxDX4nEtSM4NTUwUiHcAsTiSWB40fhhwBds5PJaA5FdBaRDgA+JNQCyNps4SiPcSijh8cQOK1CIg5gDiNTjiiQ2IP+EyIAOIS4B4LoEUVAnEC4FYB4+aX7hSxwYo+yAQ8+DQDHLlYiC+ghRsRFnCBE0dsMirBuI0HBbAfLAQGmwMxAZXMxBHIvGNsaR1NmgSh2U0YWjeEsdiCUbEW0IjEB3cR0r3sDxkiqYmFEf85QBxF4wDCveTODJgFzTIWKDJ1hxH0GzCYjlKZgSFaxCepHoC6kt8SRqU2/cTCGr6FZDUAl3oqRIAZr80GkJaN+4AAABjdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPiYjeDNCQjs8L21pPjxtaT5YPC9taT48bW8+KTwvbW8+PC9tYXRoPpVroKMAAAAASUVORK5CYII=" class="Wirisformula" alt="lambda X right parenthesis" width="25" height="16" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»λ«/mi»«mi»X«/mi»«mo»)«/mo»«/math»'/> is equal to

Solution for the question - if _x_ is a square matrix of order 3  3 and lambda is a scalar, then_adj_ ( is equal to lambda^(4)adjx   lambda^(2)adjx

If _x_ is a square matrix of order 3  3 and lambda is a scala-Turito

Phenol <img src="data:image/png;base64,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" class="Wirisformula" alt="not stretchy rightwards arrow with X on top" width="20" height="21" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mover accent=¨true¨»«mo stretchy=¨false¨»§#8594;«/mo»«mi»X«/mi»«/mover»«/math»'/> forms a tribromo derivative “X ” is

Solution for the question - phenol r^(x) forms a tribromo derivative _x_  is bromine in carbon tetrachloride at ^(0)^(c) .potassium bromide solutionbromine in water

Phenol r^(x) forms a tribromo derivative _x_  is -Turito

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 <img 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" alt="" width="195" height="235" />

Solution for the question - the effective focal length of the lens combination shown in figure is - 60cm the radii of curvature of the curved surfaces of the pl

The effective focal length of the lens combination shown in fig-Turito

A ray of ligth enters into a glass slab from air as shown .If refractive of glass slab is given by <img src="data:image/png;base64,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" class="Wirisformula" alt="mu equals A minus B t" width="73" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»μ«/mi»«mo»=«/mo»«mi»A«/mi»«mo»-«/mo»«mi»B«/mi»«mi»t«/mi»«/math»'/> 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 <img src="data:image/png;base64,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" alt="" />

Solution for the question - a ray of ligth enters into a glass slab from air as shown .if refractive ofglass slab is given by mu=a-bt where a and b are constant

A ray of ligth enters into a glass slab from air as shown .if r-Turito

The refraction index of an anisotropic medium varies as <img src="data:image/png;base64,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" class="Wirisformula" alt="mu equals mu subscript 0 end subscript square root of left parenthesis x plus left parenthesis A right parenthesis end root comma text  where  end text 0 less or equal than x less or equal than a" width="241" height="21" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»μ«/mi»«mo»=«/mo»«msub»«mrow»«mi»μ«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«msqrt»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»(«/mo»«mi»A«/mi»«mo»)«/mo»«/msqrt»«mo»,«/mo»«mtext» where «/mtext»«mn»0«/mn»«mo»≤«/mo»«mi»x«/mi»«mo»≤«/mo»«mi»a«/mi»«/math»'/>A ray of light is incident at the origin just along y-axis (shown in figure) Find the equation of ray in the medium <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALwAAACUCAYAAAAptkPwAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABipSURBVHhe7Z0JnBTFvcd/cx87szt7sCzLsYAIQjQYj6jRGI1iiILH06jJMyYaMcZEE0BjNPoMavTJi5qgCRqe0SiJRkwARcELJYCgKIIISOSUc9l77nve/98HOxyyM77p3iX8v5/PTFdXVVdfv6quqv53lSUWi+UgCIcJVm0pCIcFInjhsEKqNAegra0Nq9asx5BBfeFwOJBKpVBfX6+FCocyUsLvw8LFy3DJJeOw8sM1uO+hJ3DZZVdh1kvztVDhUEcEn8fadRswccINOGf0mRh77lk4evgQLFmyAAP69dViCIc6IngNqtrhJ7/8Lb50/FdwzQ++g4EN/eBy8OWpwbAjG9RIwiGPKYIPh8OY8Y+XtLWeybvvfYil8+fhumu/j+qqSmSzWUz/+2s44dSvoH8/qb//u2CK4JPJJJ6ZMVdb65k8N/tV+MqrMGL4MGV98dLleH/xUpwz6hS43W7Fr6exdt1GzJn7hrYmFIIpgrdarUikM9paz2Ttx+thsbuUXpn3P1iFmyY8gHg4gz69a9Dc3KzF6lls2LQFS979QFsTCsEUwXP9OFtg52eaMgaXri/NM7dn5JQTRyLSsh0XX3w9Xnl9AY45djD5BvH8nH8q1RsziMfjdP5pba1rEokENn3aqK0JhWCK4JmOUExzHRi+2ctXrMLE2+6n0vVXKPd5tBBzuPaqS3H3pFvwtTNPwgVjzsHNE67Gffffjht/+G0EAgEtlrFEIhE6/8lKZueMXwh+n0tzCYVgyounzZs347QLb8S2FS9oPirt7e1YQ/XQZe+vxpuvLkJLaxPWfbIJp331BPz58Qfh9/u1mObQ3t6hLAOBCqVUDwZD8PnKYLfbFX+j4RL71//zKF6e/Vd84YSzccHor+KUL49Enz59tBh78/fZ8/DqGwvx2JRfaz5CV5gi+F27duHLo8dh0Qt/QCyRxuq167BoyUp88tFGtLR9isbdITS3BylmBslQFFeO+w4m3HCNuvFBKPe5EQzHFbfHZVfSZj8mleqsGjgcdpSVlSklKNfRWcAsZq+38yni8ahurn5xiW6xWJSnjs1mQyaTUZbceOWMwG0SnX3X9bifl02bt+LkMy5APJTB4IZeqOvdB+eePwrHH3cMRh49VDkPnaefmYl331uBhx+YpPkIXWGK4Hfs2IHjRv0AU+66Hmv+tQWzn3+d/FYg2M67tsFJ1RcbCZHJpFKorapHwwDu+04ofoBXW4a0JT/uE3A6KpFMcalsh91mQTqTIj8frUfz6t0OEmQGTqcTyWQ7uX30s5C7I6/k9lJGKKdljDIKSNgV5HaTeCMkfAdyuTgt3aisr0IwlISzTM1UXocF7cEoystcCJT7KA0b1m/ZjZrqcgQo47W0h1Ed8KFdy5TsF6goRyyexIC+NWhqCe7l9nldcLmcuOPXVDB0tNEWfA5Wuh4VqO1VTb9+GPbFwTjp+KMpI9RiweJ3qOG6DdMevkdJX+gaUwS/detWnDr2R1gwayraOoLYtqURodBOfLRmCxa8vRIfLl9NsZL045Ixg7Hnj8G3vzVWcavowiQ1KmRJ0CkSLgtP345LW/ZzUdUgrKzbbLydhX45peSNxYJUN7YopbnNllVKcCYW43SdJFh+MmRo6aHM4CL/MLmdFJZBa3sUFZVl1Pi20t5ztK8Mmppa4fOXI5WMUabIoYyeALuaOygsjfraarQFw0jQPiqrKpX9RMJhRdBtrUGqrnkQjSXR1NyChv598MnGrZRpvEo17vGnZiIVjyjbMLE2Ph9+YnlQMbAfzjvrJHzpmGH4+F8byC+HR6SELxhTBL9x40acc+l4rH9vtuaj9s03tbRh6/ZGrHhvJea9/hbV57di6/qPMPrCizDzmd9rMQ8MC4yrHfnofnpPx75VD/bnJVdr8uPlx9erKPxjfz2NeCKlPEX0OLyvcDQOD4mcjcvSlKHsVJXhZZrWufrD7kQ8QdUQ9QmlZ7BEUs+4qh/HDYcjlMlsStrfuPBaRFpaKZTjpfGFY0Zi0MABOOO0E1Hbtz/q+1SjKuDHa/MXY/36jXho8n8paQldY4rg1679GKeOuR6tGw7c1chvYjdu2opmKvlmzZqNGTOWYubMB3HyicdqMQ4fFi15D+eeOxYpez3GXXEuhg8diJHHHUulfwUG9K+jdkcZZTo1o8+ZO1/pwr1v0k3KutA1pgh+9eo1+O6P7sLyfz6r+Xw2m7dsw7J318Djs2PMN7+u+R4ecOP+pjsfhi3dhjHnX4gTjx1B7YEAfD5ul+zPMzNewCvzl+DJqfdpPkJXmNIPz70k1VXcKOwaNtq6+OKzccJxx2g+hw/czrjysrG49ZaJuHjs2cq1+CyxM1wtcyoGbkKhmHK1XC4XPNRYKxSuJ9f17qWtHT5UV1dj1Jkn4aihR+xpOxwMbouI3IvDlOvVq1cv/Hz81dqa8Flw43XfhvjBqKwMYNdufn8hFIopdXjBGFpa2/HByo9x9pknaz5CV4jgD3Gy2dyeXhuha6QKeIgjYi8O00r4xkbVjNXrVV/CRKNRZclWgfzCRYfD+UUON8jybVL0Fz78oobtSdgsgOu7+fYuqvlAUnFzGpwWx+FwvRGY/+JIf+GkNP4KaCQKhz6mCL61tRXXXXcLuZKKKGm3JEzVTiabjZLYOBOo5sMcrhtgsd2LalaQVoSby2VJyEG4XLUUxg08G62Hye2idEK0jY+2DSuCzrBdjdOvbMf2MFYr79empZOjX4bi8R5pXxU+xb/G74TT7VW6+pKpLHY0tWPooHq46ZjilJGqApR+ik0Z6Ggpo1ltmk2N10kZOIlgKAinS/Xjbaqr/BQvAY/bBbuFMljOgrreNdjV2Kws43E1LSZB6Vco9jiqTZGO16Omx+gZWr2GKmyWUFHBtj9CIZgi+E2bNuHy707EVVecp4iZBc82IEwmw6/b+SZ3vm7XS162b0mnOV6+bXgSsYQqXv7IOsHWXootTYJEx9t1ikj1t5CY2J/d+aW4apgVi0ZACSk+PrddMWKzUWmfodzANvy11WwLn6OMlUGZ17XnycRPEIvVoQjV5bDTcaSVTJBNq+fBhmQUgeKlyW2HlQSfYlH7/ZRuCE6PXznPTIq2ybDZQwYejxMJ/dQ1OAOkNNt4TpvdDu2J2LyjA4OGN2DK/bfu9TQUPhtTBL/iw48wecqf8adH7lZK13y4NN4XNVOocKNsX1JpdRu+7/nfSXDpdyA6M9D+JJUMc3Dyjyff7JjJD2PYjkaHM0E+2fx0NGcum6Jf5zVIaueWTyajFQ7pvc9v9uw3EIxFMOPpKfQEkypZIZgi+JUk+Iem/hVPTr1X8xFKwR/++DQ+Wb9JjMeKwJRiIU2PbMEYdje3aC6hEEwRvMu5d0NMKA3cNshRQ1goHFME79YahUJpicUS2LFzt7YmFII5VZqDNBqFzw+/v9iyvYkatVJlLBRTBL99p9QzjSCTzqBvfR0sUqspGFMEz/3R3A8tlJZYIoHycr90SRaBKVeKv+m0aC+ahNKy73sB4eBI0XAIw+YLQnGYIvhYLAZ3EV88CYXBVZr2Vh7dQCgUUwQfCoXhdJgzXN3hBNvflJk8BuehjimCZ0tEofTwi6eAv3PoPaFrTBE83xjBGLLZAxvMCQfGFMHrA5UKpaeszNwRlg91TBH8gUyAhRJhladnMZjWaBVKDxvlxSKdg64KXWOO4MNyU4yAv6VJpw4+s4qwN6YInq0lXe7ObzOF0hCORFHmkzp8MZhWh3c6ZS6ikmOxIBYX04JiMEXwHo8+g4dQSvhlXkubOi+VUBimCN4hNh+GkEym4HXLxzXFYIrgecIDwQCoSlNdZc6Umv8umCJ4HvRTKD2qfZKYXReDKYJPJni0LHlBUmq4StMshUlRmCL4KnrsirVk6UmmMvB5P3uGEGF/TBE8T9UoGIPbLQVJMZgi+ARVaQShJ2CK4FulnmkITodNGZlYKBxTBO+UKo0xWCwIB2WOp2IwRfA+bSZqobQklWHAhWIwRfD6lOtC6SnzFzb/raBiiuCjMRG8ESQSCXQE1QkahMIwR/DRGDWwxOaj9OQQCoc0t1AI5jRaSexOGTK75LhcblRVyKgFxWCK4GX0YGPgieES+tw5QkGYIvhgWD5DM4JEPA6HQ/rhi8EUwQvGUeaVdxzFYIrgeQrH/MmHhdLR3NSkuYRCMEXwVotFmTlbKD2BQKXmEgrBFMFn95mbVSgd5eXSS1MMppXwQumx0mWNROTFUzGYInh16neh1KTSKbg9Mt5PMZgieCmFjCGVziEclW8NisEUwbd3yNgpRmC1WREMyTCGxWCK4OV7VmOIx5MYNmSgtiYUgimC9/vlQ2OjCEfkLXYxmCL4jJh7GMZ2mXq+KEwRfCKVglOG2zOE3jXyAUgxmCL43jWVsNnEtMAIdu8W04JiMEXwUWpcZaReU3KydE0rK8W0oBhMEfyWbTvhkRckJSeTTqK2tlZbEwrBFMHHY/JyxAisNjtaWmQm7mIwRfAyT6sxWCxWlPtlStBiMEXwFeUyLo0RcJWmsqpaWxMKwRTB53IyT6tRyLidxWGK4DtCMi6NUVQGpB++GEwRvNcjHxobRXOLjC1ZDKYIPpUSe3ij4C5foXBMEXwoJPbwRlFZLr00xWCK4GPUsLKLaYEhyPjwxWGK4PmmyLQ3xlBRIY3WYjBF8P3qe2kuodR4Zez9ojBF8DVVFZpLKDXbtos9fDGUTPA5GXvGdLj3q662SlsTCuH/JfgdO3dj+crVWLx0BWa/tADvvPchggeYcyidTmkuoZREYjHEE3Jti+FzCT6bzWHV6nV4ZNrf8MLLb+LFeW/hT9NfxP0PPY7p0/+BGN2IfGJR6ZY0Cq9XemmKoWjBp1IpLHz7PUy6fypWr92Mb19yHm6bcDWeevQOHD1iCCZOvAfvf7BKiy0YTd8+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" alt="" />

Solution for the question - the refraction index of an anisotropic medium varies asmu=mu_(0)sqrt((x+(a)), where 0 y=3sqrtx   y=x   y=4sqrtx   y=2sqrtx

The refraction index of an anisotropic medium varies as mu=mu_(-Turito

Due to a vertical temperature gradient in the atmosphere, the index of refraction varies Suppose index of refraction varies as <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALsAAAAVCAYAAAAehp/0AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAA/BJREFUeNrtWkFoE0EUXUKQUnow1OChlooU8dCDoKUGld5EREIOBS1SpChFRKRID4IWlSKKhyr1JCpBpBaK1iJSTyKhiCCiIiKlUjwUKSUQIZQqoRr/wIsM42R3ZpJNs8k8eCT7dyc/8+fNnz+TOE59oImYrxFaWLjiKPGVDYNFPeAF8aQNg0WtYxPxB14tLGoap4hPXe5vJw4TP9Z5nOx+oAbAavUel/sPiQN2sK3Yg46txDSxwafBzluxBxOXiEPEzcQkcZWYIZ4NsL/zxLs+DrZOmxDxCnGZmEPZ1Mbdv088Imk3SLyq4ecdcYdga0Rsw4K9izgt9OUQ8Q3xFzFFbJX46CUu4pmkJJnk0Y7dyxLXNNv7rpdJNGQf1I3BacEXanQZbNNzYRN/uvhAPFglYn9OHCNG0FfW/wR3/zjxhkSk88RmDT/nMKl4nCAuEI8J9lvEPq4v7LkZbrL0Q/DiBJmDmEMoAUclcfmCz9tg0N53vczDsYiMZrDXw1+TxNZBXJJks/UQey8Gi8cDZFGHy6iTkmw2rPmdmAC+CbZZTPqXgn2Rix3ry7hkNcoJtin0h8eSJC67inw/lfa+6oV1akViD2O5KDfK5a8dM50Fd59w7xrxZpmFa7qSsU1yTLClhDKGDdhn7jqKbNxgEF/eXzvKEob3nM9urDZ83xoU4rKCUoJHViOWKu191WeXI/+FMea4//JoOvim/kRchNjZOfpb4R7Lbrt93qCptlnFgHkNHj9wo6jXTTCAkolhhKtrh7iV4g5KJ6++5BXHXDUuJn+DKJde/i2zSQ17qdD1dxh13hzeizhN/MNljD3ErxoljN9iTwvXe5FlHUm5sQ1cECaIDiIoDUKY9FHYW3EdwkY5YiD2jEKN7BYXlfa+6mUMmwlVe6nQ8RfDkt8MykqCQlZ8hPe3iZcrcPSm2ua7UCKw7PpY8hyr4+OonftKjDE7ZbmODSeP10XsqmJPKmjCLS5JA02VVS9TwmbJy14qdPxNo74sYD/xmaTtPeJPZPO05PhtPcU+grIhhJp5XCK2wjEjO4L85PF5E/Cd8MiGOcmkOQN7v6HY27HqHMB1GyapalxU2vuql0yRzUnGcIPkBR1/WUm9K9vQbCT+Jj7hNmSqgq3E32gv4LRlGH1clog1Af/xMog9jDiJ8YxC7BFDsTN0YoVYw6Y6rpkEvNpXQi9VCVngckWencXzgwHoV1Rii2tM1AmfVt2gQ0cvVQdxpoZdZmonOrsloAM1U2Q/ImInMmLYarskvVQdxBpMPB8W0RPQQerw6BePFuf/s2oLM71UFQpnqREs/Sm7fFvUsl7YWem84+8f0yxqB1K9/AV0kojjWRtT9AAAAPZ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+bjwvbWk+PG1vPj08L21vPjxtc3ViPjxtaT5uPC9taT48bW4+MDwvbW4+PC9tc3ViPjxtc3FydD48bW4+MTwvbW4+PG1vPis8L21vPjxtaT5hPC9taT48bWk+eTwvbWk+PC9tc3FydD48bW8+LDwvbW8+PG10ZXh0PiYjeEEwO3doZXJlJiN4QTA7PC9tdGV4dD48bXN1Yj48bWk+bjwvbWk+PG1uPjA8L21uPjwvbXN1Yj48L21hdGg+K13HiQAAAABJRU5ErkJggg==" class="Wirisformula" alt="n equals n subscript 0 end subscript square root of 1 plus a y end root comma text  where  end text n subscript 0 end subscript" width="187" height="21" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»n«/mi»«mo»=«/mo»«msub»«mrow»«mi»n«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«msqrt»«mn»1«/mn»«mo»+«/mo»«mi»a«/mi»«mi»y«/mi»«/msqrt»«mo»,«/mo»«mtext» where «/mtext»«msub»«mrow»«mi»n«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/math»'/> is the index of refraction at the surface and a <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIMAAAARCAYAAAD+Mx8uAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAlBJREFUeNrtWM9HBGEYHllrrRV7WntIJEnSNVkduiRJh0iypy6duyVJ/0GyEklWumWlQ7cke+gQK+m4JB2SFXvokLGW7X15ljFmZ775vvlVOw8PM+83P17f98z7Pt9oWoygME2sEnViBwwLY8Q94nO8LMFjgvhEnIxIPhfEzZAF2bc4J85GMK9YDCHgi1gkvhPrxNX/LoYCsUL8JrbQj4oC9w0Sj4mP4AliYfZL0Zw6NjSiTTzFM5I43vBhYUVyCUQMbI7WiRlDn3xAzA53xGXD+RJiYfZLr3PiajBgOM+gSvRVmxgmvtiMc7ksWcQPBUTk10T4kRNXgqzhnKtDrR89g24zxm1l3iI+hzEr7IJux0QnQiYnJ0zBRHKbSBCPiAuma/aJ28QcxNggfhIXMc5iOiA20Yp3ghBDR4CimEGr6IUmvhIzkpgMzcWiuxGC3UTI5uQE9k+veIaVgbyEIGqoQAlU1jdiHm14DfEhfGQ5D/2Fr0jBfBVsrmnbjLUcnm9cfLdCsBODSk4qqMOXZE3xD4s2043n/8JWihO/7lFuRSdeF3gPC+BWQgiyYtB9mi82lz/EtMt4IKZCpU2MQAijAu9q9CjJKcGS7IcYVHOSAf+qvvcgHimMo6SlBa+vWBgpDRWlIiAEP9qESk6yYI9Q9iAeGeRgghIu7lmBeMwoO2zj/DSQsjmpoIR/H6rxyOAGlUG0DXXB5W4LIkpiQasuheDl1lImJ1VcGbaQKvHIQNRjmGNsNs9gztgU8a/fTMB5WhngIHNqwpOoxmPE8Aa/BoLRe16ff60AAADVdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjxtbj4yLjA8L21uPjxtbz4mI3hENzs8L21vPjxtc3VwPjxtbj4xMDwvbW4+PG1yb3c+PG1vPi08L21vPjxtbj42PC9tbj48L21yb3c+PC9tc3VwPjxtc3VwPjxtaT5tPC9taT48bXJvdz48bW8+LTwvbW8+PG1uPjE8L21uPjwvbXJvdz48L21zdXA+PC9tYXRoPvF8Eo8AAAAASUVORK5CYII=" class="Wirisformula" alt="equals 2.0 cross times 10 to the power of negative 6 end exponent m to the power of negative 1 end exponent" width="131" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«mn»2.0«/mn»«mo»×«/mo»«msup»«mrow»«mn»10«/mn»«/mrow»«mrow»«mo»-«/mo»«mn»6«/mn»«/mrow»«/msup»«msup»«mrow»«mi»m«/mi»«/mrow»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«/math»'/> A person of height h = 2.0 m stands on a level surface Beyond what distance will he not see the runway? <img src="data:image/png;base64,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" alt="" width="197" height="191" />

Solution for the question - due to a vertical temperature gradient in the atmosphere, the index ofrefraction varies suppose index of refraction varies aspi=pi_(

Due to a vertical temperature gradient in the atmosphere, the i-Turito

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 <img src="data:image/png;base64,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" alt="" />

Solution for the question - find the variation of refractive index assuming it to be a function of ysuch that a ray entering origin at grazing incidence follows

Find the variation of refractive index assuming it to be a func-Turito

Metal oxides which decomposes on heating is

Solution for the question - metal oxides which decomposes on heating is hgo   cuo   al_(2)o_(3)   zno

Metal oxides which decomposes on heating is-Turito

One mole of an organic compound A with the formula <img src="data:image/png;base64,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" class="Wirisformula" alt="C subscript 3 H subscript 8 O" width="54" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»C«/mi»«mn»3«/mn»«/msub»«msub»«mi»H«/mi»«mn»8«/mn»«/msub»«mi»O«/mi»«/math»'/> reacts completely with two moles of HI to form X and Y. When Y is boiled with aqueous alkali it forms Z. Z answers the iodoform test. The compound A is

Solution for the question - one mole of an organic compound _a_ with the formula c_(3)h_(8)o reactscompletely with two moles of hi to form _x_ and _y_. when _y_

One mole of an organic compound _a_ with the formula c_(3)h_(-Turito

A reflecting surface is represented by the equation <img src="data:image/png;base64,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" class="Wirisformula" alt="x to the power of 2 end exponent plus y to the power of 2 end exponent equals a to the power of 2 end exponent" width="88" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msup»«mrow»«mi»x«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«mo»+«/mo»«msup»«mrow»«mi»y«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«mo»=«/mo»«msup»«mrow»«mi»a«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/math»'/> 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 <img src="data:image/png;base64,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" alt="" width="230" height="223" />

Solution for the question - a reflecting surface is represented by the equation x^(2)+y^(2)=a^(2) a raytravelling in negative x-direction is directed towards po