Physics-
General
Easy
Question
A composite metal bar of uniform section is made up of length
of copper,
of nickel and
of aluminium. Each part being in perfect thermal contact with the adjoining part. The copper end of the composite rod is maintained at
and the aluminium end at
. The whole rod is covered with belt so that no heat loss occurs at the sides. If
and
, then what will be the temperatures of
and
junctions respectively
![](data:image/png;base64,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)
and
and
and
and
The correct answer is:
and ![20 ℃](data:image/png;base64,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)
If suppose
and ![K subscript C u end subscript equals 6 K](data:image/png;base64,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)
Since all metal bars are connected in series
So ![open parentheses fraction numerator Q over denominator t end fraction close parentheses subscript C o m b i n a t i o n end subscript equals open parentheses fraction numerator Q over denominator t end fraction close parentheses subscript C u end subscript equals open parentheses fraction numerator Q over denominator t end fraction close parentheses subscript A l end subscript equals open parentheses fraction numerator Q over denominator t end fraction close parentheses subscript N i end subscript](data:image/png;base64,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)
![a n d blank fraction numerator 3 over denominator K subscript e q end subscript end fraction equals fraction numerator 1 over denominator K subscript C u end subscript end fraction plus fraction numerator 1 over denominator K subscript A l end subscript end fraction plus fraction numerator 1 over denominator K subscript N i end subscript end fraction equals fraction numerator 1 over denominator 6 K end fraction plus fraction numerator 1 over denominator 3 K end fraction plus fraction numerator 1 over denominator K end fraction equals fraction numerator 9 over denominator 6 K end fraction](data:image/png;base64,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)
![rightwards double arrow K subscript e q end subscript equals 2 K](data:image/png;base64,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)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/902031/1/935637/Picture658.png)
Hence, it ![open parentheses fraction numerator Q over denominator t end fraction close parentheses subscript C o m b i n a t i o n end subscript equals open parentheses fraction numerator Q over denominator t end fraction close parentheses subscript C u end subscript](data:image/png;base64,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)
![rightwards double arrow fraction numerator K subscript e q end subscript A left parenthesis 100 minus 0 right parenthesis over denominator l subscript C o m b i n a t i o n end subscript end fraction equals fraction numerator K subscript C u end subscript A left parenthesis 100 minus theta subscript 1 end subscript right parenthesis over denominator l subscript C u end subscript end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARIAAAAvCAYAAAAvpEXkAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAdoyL+RwAAByNJREFUeNrtnX9kHVkUx6+nIipKVMSK6D+r+kdFWBURay0VURVRKmKttUJFxKoVomrtXyXyx6qKEvFEVJSoJ1atUqviWWuJqrUqllq1+kcsUVWxntC9xzuz7tzcO3Nn3p038977fjjyZubOvbkz37k/zrtvjhAgYF7acofUdZnrC6AF6MUjQ9J+7bA6/8L1BtBCS+rlSFpJ23dJ2qa0ngzLvRlzkYYN+89L+07ai4hzz0i7L+03tjXelzadD1zK+kRaFVpoey0EjEmrSHsjbVfaSMLzi6CX//lY2u/avk+l3cm43GlpNWmnDMeGWTwmHki7Ie1DRN4/S5tUtq/yvrTpfOBaVpUFAi20rxYENxoVpdHuk/YqRT556iXElLQt7QLeyLjMXhbsUy5fZ0XaQkweNvFcl3bPsP+utJkU6XyQpKxvcvQFQAvZayGARlED2r4nKaYqeeolxPfSlhThTDShzDW+QV9JWzUcf8I9YRrxPJI2btj/OR9Lms4HScoazbgnhBby1QJxWdqGYf9DaVcS5pWnXkJsc08w1STHDVX8MX/utwzn3knrSimeQ8u5tO8gRTofJCmri+sPLbSnFoh1adcM+yuWBi2KPPUS4k8e1o03oSyaA+9JG1T2PZd2QUt37JCXTTxR59ZSpPNB0rJq0ELbaoF4yf+zyfpT5FfLuxEhR88RD6f+4vlq1kPnRW0fOfLmmySef1Ok08uMs0b+pzyFAS00Rwslywii1MDIIveGhDzHu/x5URlmZsEF7nF0PpP2o8fh7IHl3G5tmOqazgdJysprqAotNEcL/RafxqWU/phCTG3IybWpbG9yT5EF1YiWW//qjzz4YynFQzfD5CQcFycdbC7pfJCkrLycZ0m1cFbU1128U+7jErTg1GBXLCO0rw3749bKFMLZSvPhOW3eWhX+vfX0FeLdiOO6t7qRr/zIibVu2L8hwl/luabzQZKyFrj+RdZCL/tTbgrz2g9owU6PoVHo5RGaaVQUt1YmL72EqIiTXzf1cUUHDemXuQd6Le2idox6o7/5+C0WGuXxkaivE4haFTmriStqEVKceIhnisjp5txWhu1p0vnAtay8Fhgl0cIP/P/b2NfO2YcWQvwh6us/gmkeLf+/mrKOhViQdsjzQJ2LfBG7tR5rlj/TBS8rx24rTrLTPBQLnFTbDhdpgBseFbq4Q45OLlOPWeb/gRyIaxbxuqbzgUtZeS55dtVCidParlPgtDVtQwt1hriBrnHDOulwjqluhVoi7wL1JG8sc8c+w40f5Ra+0YuNH+0Vjzjxjmj3fgRa8MKHFtVLiGlDy7+hHNvU0s8Y9qVhTnTOT8dXRPbL0X0wySMLGzMivGpT34YW/DQkraKXEORNXo24wfp8WXfcgfaBpibPI46vivC3D+VWFHyLjEhaDhqe7kSMVoJpDv3smtYgkNP1Cu59W0I+MHKoL4mTrxsg6Ed/C+xToQVmB9ACGhKVb0V9xWONKxV8VVXioe57Pv6lqDvjTuPety20cIychcfKVDfQAzlLq6wF+s3OW2F24gL3BsRlxWzbUZgfEQEA3FkU2b/JKQkTItoZBwAoIOTopAViY7gUGPZ26jAY+BMMGTm3SrhcAIC0lLkx2fLQIMGKZXl2TrA20otrBssYkWCkiqkNgI8EAJAL9K1NDy4DAAAAAAAAAKTFFN4RAOgROGMK7wgA9AgSQT/IeojLAKBH0AhqeEcAoEeQiiC8IwDQI0gNvad1AJcBQI8gLfqbwgGAHkFifLwZHADoscOJejN4I6EcXYlzrPl2vMGRBz2CDKC3xJveDN5IKMckZO1Yo1Aak7jN0CPIFlN4RyIulGMPP6T0QuCX4mRYxy9EPdQBvWCaIvcFkdv/EeEQBySOaSUt/R3Q8hpUPlMIhT1Oq/ZG56T9xPupx7rGeQc914Ahv7g62MoCxdOjLbQoaBKm8I5xoRyJLe4dgunCfeXcY34AKRYqRQ97zQ/sed4+1NLeUR50enjXlONHWtoHnHZYyYd6K3rT+XVON889G/Vc77V6HSWog6ksUDw9RoUWBTkSF8qRHq5XyjZNHYJ4OCN87GzE9jPl865hCFuxpN1T0o3xCIeg1y+saH4QCqUxqqTR84urg60sUDw9ZhFaFHggaShHemjLlmNR2ybH2pTluB46VD32SBsO0/ZEwrL1OmxG1AEUW4+4XwUhLpTjrAiH/dziaYUQJ51lUdv3lIdXzXvGknZOy2eWP9PvMsaVYS1NZ87ElB1XB1tZoHh6RGjRghIXypGco0+VYf++kk53lkVtV9gXETQCfZxvtyWtms+Osj3F/oxgZPGWP2/ztqnsJHXYEQhVWWQ9IrRogYkK5Ug38zHfXJq7nlPO051lUdsH3Ii84FEE+SGGLGnj8r0s7RY3CuvcI41xui7DOY3UARRLjwgtCjLhlMBaA9BG/AeSFLLZQ6dHYAAAAmV0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+JiN4MjFEMjs8L21vPjxtZnJhYz48bXJvdz48bXN1Yj48bWk+SzwvbWk+PG1yb3c+PG1pPmU8L21pPjxtaT5xPC9taT48L21yb3c+PC9tc3ViPjxtaT5BPC9taT48bW8+KDwvbW8+PG1uPjEwMDwvbW4+PG1vPi08L21vPjxtbj4wPC9tbj48bW8+KTwvbW8+PC9tcm93Pjxtc3ViPjxtaT5sPC9taT48bXJvdz48bWk+QzwvbWk+PG1pPm88L21pPjxtaT5tPC9taT48bWk+YjwvbWk+PG1pPmk8L21pPjxtaT5uPC9taT48bWk+YTwvbWk+PG1pPnQ8L21pPjxtaT5pPC9taT48bWk+bzwvbWk+PG1pPm48L21pPjwvbXJvdz48L21zdWI+PC9tZnJhYz48bW8+PTwvbW8+PG1mcmFjPjxtcm93Pjxtc3ViPjxtaT5LPC9taT48bXJvdz48bWk+QzwvbWk+PG1pPnU8L21pPjwvbXJvdz48L21zdWI+PG1pPkE8L21pPjxtbz4oPC9tbz48bW4+MTAwPC9tbj48bW8+LTwvbW8+PG1zdWI+PG1pPiYjeDNCODs8L21pPjxtbj4xPC9tbj48L21zdWI+PG1vPik8L21vPjwvbXJvdz48bXN1Yj48bWk+bDwvbWk+PG1yb3c+PG1pPkM8L21pPjxtaT51PC9taT48L21yb3c+PC9tc3ViPjwvbWZyYWM+PC9tYXRoPuU+G4EAAAAASUVORK5CYII=)
![rightwards double arrow blank fraction numerator 2 K blank A left parenthesis 100 minus 0 right parenthesis over denominator left parenthesis 25 plus 10 plus 15 right parenthesis end fraction equals fraction numerator 6 K blank A left parenthesis 100 minus theta subscript 1 end subscript right parenthesis over denominator 25 end fraction rightwards double arrow theta subscript 1 end subscript equals 83.33 ℃](data:image/png;base64,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)
Similar if ![open parentheses fraction numerator Q over denominator t end fraction close parentheses subscript C o m b i n a t i o n end subscript equals open parentheses fraction numerator Q over denominator t end fraction close parentheses subscript A l end subscript](data:image/png;base64,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)
![rightwards double arrow fraction numerator 2 K blank A left parenthesis 100 minus 0 right parenthesis over denominator 50 end fraction equals fraction numerator 3 K blank A left parenthesis theta subscript 2 end subscript minus 0 right parenthesis over denominator 15 end fraction rightwards double arrow theta subscript 2 end subscript equals 20 ℃](data:image/png;base64,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)
Related Questions to study
physics-
The plots of intensity of radiation
wavelength of three black bodies at temperatures
are shown. Then,
![](data:image/png;base64,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)
The plots of intensity of radiation
wavelength of three black bodies at temperatures
are shown. Then,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAN8AAAChCAYAAABH0WqdAAAX+ElEQVR4nO3df2gb5/0H8He6NL0tSqJstJW9QW4rcVQ26Jl1TBoZuc5/RGEjlkwgchnEJoNYY5kjlmB7GXNMcW1vhZPBRQ4UlNCAbNbNViBYGaOSoVRqflTyKLNs1lnuRqQuYZZjL1Y6nOf7R5C+iS3bknx3z538vKA0kXR3Hyf56HnueT7Pc9sIIQQMw6juGdoBMMxWxZKPYShhyccwlLDkYxhKttMOgHmsoaFhzdd/+tOfqhwNowbW8mnA7du38dJLL+H8+fMAgLq6Opw/fx51dXXYvXs35egYpWxjUw30pVIp7Nq1CwaDAdu2bcPCwgIMBgMWFxcBAAaDgXKEjBLKavnS6TTeeustuWPZsqqqqmAwGBAOh3Hy5Ml8shkMBpZ4Faxg8l29ehUNDQ1oaGjAm2++uer9YDCIX//618hms4oHuJVcu3YNR48epR0Go5KCyfe9730PX/3qV3H37l0cO3Zs1fvXrl3D8vIyotGo4gFuJW+99RZ+9KMf0Q6DUUnB5KuqqsLevXvxxhtvoKamZtX777//PrZt24a//OUvige4VazscuYsLi7i3LlzaGhowPT0NKXoGCWsec8XCAQgiuKq1+PxOJaXl7G8vIxr164pGtxWcuXKlYJdzoWFBTidTjQ1NaG9vZ1CZIxSCs7zhcNh1NfXFzwgHA7n7/USiQSy2Sw4jlMuwgo3PT2NkydP4oMPPsDU1BTMZvNTvY2qqipUVVXhwIEDFKNklFCw5bty5Qp+/OMfFzzg6tWrePjwIYDHo3Hsvm9zqqur4fF4cOvWLXg8HlRXV6/6zNWrV7Fr1y4K0TFKWjXPt7i4iF27dmGt6b+vfOUrWFpaAgBwHIe2tjZcuHBB+Ui3sFQqhZs3b6K+vn7NvxetmZ6exsLCQsH3vvvd76ocjTatSr4rV65gYmICv//971d9OBwOw+FwIJPJ5F8TBAGxWEz5SBk0NDTgT3/6E+0wilJTU4PvfOc7uHv3Lj744AM4HA7cvXsXzz//vG5+BsWRJzgcDgKA7N+/n9y6dYusdP78ebJ9+3YCIP8fx3FkaWlp1WcZeQQCAeJwOMjBgwdJIBCgHU5RFhYWyLvvvksIIaS7uzv/a0KIbn4GNTzV8t2+fTuflAcOHFg17F1bW4tEIoHnnnsOi4uLMBqNuH//Pv785z8XHBllNm9xcRFTU1Oorq5GVVUV7XBKVlNTg/HxcV3GrrSnRjs36ovv2LEDfr8fyWQSXV1d+OSTT3D69Gmk02lFg9xKotFofjTZbDbDZDLp9h5penoaL774Iku8NZS0pOijjz4CAHg8HgCAyWTCH/7wB/mj2kLS6TRGR0dx+fJlRKNRWCyW/NRNIpFAJpOB3W5HfX097Ha7rqZ13nvvPZw6dYp2GJrFlhRRks1m0dvbC6vViomJCUiSBEIIIpEIQqEQQqEQUqkU5ubmUF9fj0AggJdffhlDQ0O0Qy/apUuXUFdXV/C927dvI5VKqRyRtrDkoyAej8NqtWJ+fh6Tk5Pwer2wWCwFP8txHJxOJ/x+PyKRCAKBAKxWK5LJpMpRl2a9Lue5c+fQ3d2N6upqhMNhCtFpRDmjNJIkEaPRKOvIz1bh9/uJxWIhk5OTZZ8jEokQQRBIKBSSMTL53Lp1ixw8eJCcPXuW3Llz56n3FhYWyNTUFCHk8cjnyZMnaYSoCazlU1Fvby8CgQBCoRDMZnPZ57FYLAiFQujq6sKlS5dkjFAe3d3deP755/Hpp5/i5s2bT71nMBjy5XNf//rX8a1vfYtGiJrA9nBRicfjwezsLPx+vyznMxqNCIVCaG5uBgA0NTXJcl45FDuJfv36dfzyl79UOBrtYi2fCoaGhvDRRx/B6/XKfm6v14tAIIBgMCj7uZU0PT2NY8eObemV+iz5FBYOh3H58mX4fD5Fzs9xHPx+P/r6+nRT5D49PY0bN25gYWEBb7/9Nu1wqGHdTgWl02m43W6MjY0pOj/HcRx8Ph8cDgdCoRCMRqNi19qsxcVF/O53v8N//vMfAMCrr75KOSJ6WPIpyOVyobOzEyaTSfFr8TyPzs5ONDc3Y2RkRPHrlctgMOCdd96hHYYmsG6nQgYHB2EymWC321W7pt1uh8lkwuDgoGrXZMrHWj4FpNNp9PX1YXJyUvVr9/T0wGq15hOR0S6WfApwuVyQJIlKHabRaERbWxs6OjoUG+QpRiaTQTweX1XBIopivmB8q2PdTpkFg0Fks1lVu5srNTU1IZlMql66lc1mMTg4CKvVim9+85vo6upa9Zmuri7U1taitrYWvb29W3tFTDllMay8bG2CIJBYLEY7DBKLxYggCKpdT5IkwvM8aWlpIZFIZMPPx2Ix0t7eTnieJ01NTSSVSqkQpbawlk9Go6Oj4HkegiDQDgWCIIDneYyOjip6nUQiAavVitnZWUQikXWLxFfG19PTg8nJSRw6dAivvfba1hsoKidjWctXmFZavRylWz+fz0cEQSiqpdvI3NwcaWlpIaIokrm5ORmi0z7W8slES61ejiAIMJlMipSeeTwejI+PIxKJFNXSbcRoNMLr9aKzsxMOh0PzS6bkwJJPJv39/WhtbaUdxiqnTp3CxYsXZT2n2+3G7OwsfD6f7CO6oihCkiQ0NzdXfAKy5JNBIpFAOp3W5CZSNpsN8XhctlHFCxcuYM+ePZAkSZbzFSIIAnw+X8UnIEs+GVy+fBknTpygHUZBHMfhxIkTsgxmXLp0CbOzs6pskszzPLxeLxobG5/aJ7ailHOjyAZcnmYymTQ9VJ5KpYjJZNrUOUKhELHZbKrv0RoKhYgoiqpeUy2s5dukYDCYH9jQKpPJBLPZXPakezabhcvlgtfrVb1qJ1cRU4nTECz5NknLXc4nHT9+HMPDw2Ud63a70draCp7nZY6qOJIkob+/v+Lu/1jybUI6nUY0GqVaSlYsu92eL30rRTgcRiKRQEtLi0KRbYzjOHi93vyWGZViyxZW50Yo0+k0kslkfq5KEISiF6MODQ3pZiPbJ7ueNputqGMymQzcbrcm1geKoojh4WEMDg5S/SKQ05ZKvng8josXLyIYDILjOJhMJphMJvA8ny8CjsfjMJvNOH78OJxO57r3csPDw4oOucvt8OHDuH79etHJR7u7uZIkSaitrYXNZtNMTJtSziiN3kY7Y7EYsdvtRBAE4vV6yczMzLqfj0Qi5MyZM/lC4UIjmXNzc7r6MyCktHKzsbExYrPZFI6odCMjI8Rut9MOQxYVn3ydnZ1EEAQyMjJS8rFLS0vE6/USs9lMfD7fU+/p9R+B0WgsqnbSZrORsbExFSIqndls3tSmw1pRsQMuyWQSVqsVABCLxcoaFOE4Di0tLYhEIhgfH8eRI0fyE77j4+M4dOiQrDGrQRTFDaccchUxxXZP1aZEyRwV5WSs1lu+mZkZIoqiLNX2TxobGyOCIJDJyUndfvtKkkTOnDmz7mfsdntZPQW1LC0tEZ7nNV3YUIyKS77cfc1G93XlmpmZIbW1taS6ulqR8ytto/u+mZkZwvO8ihGVp5gvEa2rqG5nIpGAy+VCKBRSbDSM53n87Gc/w6NHjxCPxxW5hpIEQUAymVyzXlKrqzNWampqwtDQUMnzllpSMcmXTCbhcrng9/sV3zT25s2b+NWvfgW3263Lqou17vtyD+rUwzya0WiE0+nUddlZRSRfNptFY2MjJElSZf4nHA7j2LFj8Hq9cDgcuvv2PXToEMbHx1e93t/fj1OnTumiaAAAWltb0d/fTzuMslVE8rndbpw4cUKVVeS5lo7n+fxkfKFdurRsrZZvdHRUF6VyOTzPg+M4JBIJ2qGURffJp3btYTgcfmrRbHt7O8LhsG4eUgIAZrN51T/Y3O8389xAGux2u+KbRClF18mXW+qi5uawU1NTOHDgwFOv+Xw+uFwu3XQ/OY6D0Wh8anW73lq9nFzJnB7pOvlcLhfa2tpUrfNLJBKrWgc9dj9Xtn6BQAD19fUUIyqPKIqIx+O6XO2u2+QLBoNIp9OqP5G1UPIB+ut+Ppl8K1d26I1eu566TD4a3c2cZDK5Zkvr9XrhcrlUjqg8+/btw+zsLAD9djlz1hq91TpdJt/g4CCVp/AkEon8CFshau0SLYcnW77h4WEcP36cckTlYy2fivr6+tDW1qb6dddr9XLa2trQ19enUkTl43k+X+mSSCR02+UEHk+4m81m3XT5c3SXfKOjo7BYLFQ2LFrrfu9JFosF2WxW86VnuZYvGo1CEATdTKyvRRAEzf+Zr6S75Ovq6kJnZyeVaxeaZiiks7NT8yOfuemGmzdv6m5ur5ADBw5gamqKdhgl0VXyBYNBmEwmas9DKKblAx7fgySTSc1/E5vNZnz44Yd45ZVXaIeyaYUKB7ROV8l38eJFnDp1itr1i00+QB91h2azGZ988ommHu5SLtbtVFA8HkcymaQ6JJ5Op4u+13Q6nQgGg5qe/P3a176Ge/fuVUS3M/f3oqcn3eom+WgPh2cymZKWKnEcB5vNpukh8Hv37sFoNOp+sCVHb62fbpKP9kRwqckHaL/ucGlpCXv27KEdhmz0dt+ni+TTa8W9zWZDOBzWbMF1Op2uqOTT24inLpKPdqsHFDfBvpLWJ3//9re/4eHDh7TDkA1r+RSg14p7AKivr0cgEKAdRkH/+9//kEqlaIchG6PRqOkBrpU0n3zJZBLpdJp6+VM593yAtusOs9ksCCG0w5DNl7/8ZXz++ee0wyia5pMvGAxqYvPWcpNPy1sdPHr0qKK6nQ8fPmTJJyfaUwxPWl5eLus4m82GYDAoczSbt7CwgC+++IJ2GLJ54YUX8OjRI9phFE3zyReNRql3OYHHLfDk5GRZx2pxFC6bzeK5556rqOTLTbRrdXR5JU0n30br59SUTqexc+fOso61WCyaG/HMVesQQnRVFbKRZ555BtPT07TDKIqmky8ej2um7vD+/ft4+eWXyzpWq0Pg8/Pz2L17t+a+GDZj+/bt+Ne//kU7jKJoOvkmJiY0U3FPCCm7qJvjOPA8r6kE/Pjjj/HgwQOcOXNGVyVZGzEajbr5MtF08mml5ctms0gmk5uqsNFa6/f3v/8dBoMBoijqcv+TtRgMBnz66ae0wygKS74iBINBiKK4qXtPrSXf8vIyjhw5AlEU88+nrwSnT5/GvXv3aIdRFM0mXyaTQTabpbJdxEpyVNi88sormJiYkCmizfvss89w8OBBAI+XPw0NDVGOSB5OpxN//etfaYdRFM0mn1amGIDVW8SXQ2st35PFC8ePH8fw8DDliORhMplgNps3fPquFmg2+UpZNa6kcDgMnuc3vSu2lpIvkUjkB4EA/Wz6VCy9fJloNvk+//xzvPjii7TDkO1hkRzHgeM4TRT+FloloodNn4rldDoxOjqq+cl2zSZfKVs2KBlDNBqVbTmTwWDQRPJdv34dhw8ffuo1vWz6VAyj0QiLxaLJkr4naTb5tEDuzXnT6TT1CeDcQ0UK3cNWUuunh59Fs8lXzuJVOSUSCYTDYVmf+6eF6ov1doCz2WxIp9MV0frpYet+zSYfbW63Gz09PbLWlXIcR3U+LZ1OIxgMrvlkJ47j8g970fr9UjG03vppNvlotnyjo6P53cfktHPnTvzzn/+U9Zyl6OvrQ2tr67pfKIIg4PDhw+jt7VUxMmVovfXTbPI9ePAA9+/fV/26yWQSfX198Hq9sp/bYDBQq76Ix+OIRqNFdaPb29sxPj6umxrJ9UiShI6ODk225JpNvn//+9/YsWOHqtfMZrNobm6GJEmKjLTyPE9tuYvL5YIkSUV1ozmOg9/vh9vtRjKZVCE65fA8j9bWVrjdbtqhrKLJ5Mt9S6k9ye5yuXDixAnFKmtMJhOVez6PxwOLxVLSz2UymeDz+dDY2KiJ6ZHNaGlpyQ+gacl2uU/49ttvF3z929/+dtElWslkEi+88IKcYW3owoUL2Ldvn6KPmT558iT++Mc/Knb+QsLhMK5fv46RkZGSjzWbzejp6UFjYyP8fn9Ze9hohc/nQ3NzsyzVSnKRteWbnp7OF+gODQ0hFosBAGKxWElD7IlEAj/4wQ/kDG1dzc3NAB4noJJ++MMf4hvf+IZqZWbJZBIdHR3w+Xxlj9qKoojW1lY4HA5dr3zgeR6SJKG5uVk7LTkpgyRJxGg0rnp9amqK3LlzhxBCyP79+/O/vnPnTv7XxWhpaSFer7ec0EoyNzdHnE4n8fl8il8rp729nfT09Ch+nbm5OSKKIonFYrKcLxaLEYvFQiYnJ2U5Hy1jY2PEZrPRDoMQQoisyZczNTVFDh48WHZQPM+TmZmZso8vRu4fk9/vV/Q6K0UiEWKxWBS9htyJlzMzM0MsFgsZGxuT9bxq8/l8xG63k6WlJapxKJJ83d3d5N133y0roMnJSWI2m8s6tliSJFH9Flfyy0WpxHvy/DabjTQ1NZG5uTlFrqGGkZERIooi1Z9BkdHOS5cuoa6urqxjlXwuQzAYRG1tLWZnZxEKhagtWVJq8Wo4HIbVaoUkSYrtAGA0GjE2NoZDhw7BarVqbgSxWHa7HT09PThy5Ai9pV7lZOx6Ld96Xc5AIEAGBgbWPbcSrcLMzAyx2WzEZrMp1iKUIpVKEZ7nZe32tLe3E1EUSSqVku2cG0mlUkSSJNWup4TJyUkiCIIq9+Eryd7yvffee2sW7u7evRu/+MUv1jx2dHQ0XxIkp2QyidbWVoyNjWliTxiTyQS73Y7BwcFNnyvXmu/ZswehUEjVZVgmkwlnzpxR7XpKMJvNiEQimJ+fh9VqVbcVLCdjC7V8d+7cId3d3QQAOXv27Jqjm+td0maz6f5mvlibbf1isZimWvNKkBsMU+s+UNaWb8+ePRgYGCir5YpGo8hkMpp4KIoaNtP6JZNJNDc3a6o1rwQWiwWRSES9YoJyMnaj0c71rHVJQRC23Df43NwcMZvNqt6nMdqhidpOj8cDURS33De40WhEZ2enJot+GeWpmnxXr1596v/A4y7UxYsX0dPTo2YomuF0OgGgYvbNZIqness3MDCQ/3VuCc9mag8rgSRJ6O/v1/3yHaY0sq9qWM/Ro0ef+r3SS3j0wmQywe/3w+FwIBQK6Xr1AFM8avd8Ho8HRqNR0SU8esLzPHw+H44cOaLJVdeM/Kgkn8fjwcTEBCRJonF5zRIEAZ2dnXA4HNpZ9sIoRtVuJ/B4zdz8/Dx8Pp/al9YFm80GjuPgcDjg8/k0s/CTkZ9qLV8mk0FjYyMAsBZvA6IoQpIkNDY2VsQemkxhqiRfNBrFa6+9hvr6esVXi1cKQRAwMjICl8tVEdv4MaspmnyZTAYdHR1wu90YGRnJz2kxxTGZTAiFQnSKfhnFKZZ8Ho8nX20fiUTYvUuZOI5DT09PvhtaCXtpMo/JPuCSzWZRW1sLm82GWCzG5qxkkiv6ZSqH7MnHcZy6leFbyFauAqpEinQ7WeIxzMY0saqBYbYilnwMQwlLPoahhCUfw1DCko9hKGHJxzCUsORjGEpY8jEMJSz5GIYSlnwMQwlLPoahhCUfw5QokUjIsscOSz6GKVFHRwf27t2Ll156CadPn0YwGCzrPCz5GKZEXq8Xu3btwj/+8Q8MDAygsbERzz77LL7//e+jt7e36AXPZa3n27FjBx48eABRFMs5nGF075ln/r/dynVBb9y4gY8//hgGgwEPHz6ExWLBb3/72zXzpKzk+/nPf45oNIrPPvusnMMZRve2bdu2+XMQQogMsTDMlpFOp7Fv3z588cUX2LlzJ7Zv347//ve/ePXVV1FfXw9RFIt6BILqm+YyjN45nU586UtfQl1dHX7yk5+U/Xg71vIxTIkymYwsW6Ww5GMYSthUA8NQwpKPYShhyccwlLDkYxhKWPIxzCa88cYbqKmpQU1NTcnHsnk+hinTyMgI9u/fj+npaezdu7fk49lUA8PIYO/evZibmyvpGNbtZJhNev3113H//v2Sj2PJxzBlunfvHs6dO4ezZ89i9+7dJR/Pup0MU6Z33nkHS0tLePbZZzE/P4+2traSjmcDLgxThomJCcTjcbz55ps4evQoRkdHSz4H63YyTIk+/PBDeDweDAwM5Lubt2/fxr59+0o6D0s+hinRjRs34PP58r93uVyIx+P4zW9+U9J52D0fw1DCWj6GoYQlH8NQwpKPYShhyccwlLDkYxhKWPIxDCUs+RiGEpZ8DEPJ/wGxUsZicP8S4gAAAABJRU5ErkJggg==)
physics-General
maths-
Consider the system of linear equations:
,
The system has
Consider the system of linear equations:
,
The system has
maths-General
Maths-
If the system of equations
has no solution, then ![Error converting from MathML to accessible text.](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABsAAAANCAYAAABYWxXTAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIBJREFUeNpjYEAAJiC+BcS2DHQCLEC8FIiF6WWhBxDX0ssyUHCeY6AjOEpE3P0nAhMEGUBcAsRzae0jFSDeAGUfBGIeWsbVbiAWh/KrgTiNVsHYDMSRSHxjID5MC19ZAvEaLOL3qZ3nQPFyEoehXQSCkmSwEIiDcMjpAfFxhqEIAIFPIpNBQAabAAAAWXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT4mI3gzQkI7PC9taT48bW8+PTwvbW8+PC9tYXRoPnDoxj4AAAAASUVORK5CYII=)
If the system of equations
has no solution, then ![Error converting from MathML to accessible text.](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABsAAAANCAYAAABYWxXTAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIBJREFUeNpjYEAAJiC+BcS2DHQCLEC8FIiF6WWhBxDX0ssyUHCeY6AjOEpE3P0nAhMEGUBcAsRzae0jFSDeAGUfBGIeWsbVbiAWh/KrgTiNVsHYDMSRSHxjID5MC19ZAvEaLOL3qZ3nQPFyEoehXQSCkmSwEIiDcMjpAfFxhqEIAIFPIpNBQAabAAAAWXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT4mI3gzQkI7PC9taT48bW8+PTwvbW8+PC9tYXRoPnDoxj4AAAAASUVORK5CYII=)
Maths-General
physics-
Two bars of thermal conductivities
and
and lengths
and
respectively have equal cross-sectional area, they are joined lengths wise as shown in the figure. If the temperature at the ends of this composite bar is
and
respectively (see figure), then the temperature
of the interface is
![](data:image/png;base64,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)
Two bars of thermal conductivities
and
and lengths
and
respectively have equal cross-sectional area, they are joined lengths wise as shown in the figure. If the temperature at the ends of this composite bar is
and
respectively (see figure), then the temperature
of the interface is
![](data:image/png;base64,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)
physics-General
Maths-
If
then A2 ![equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAJCAYAAADU6McMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAIzv8arAAAABZJREFUeNpjYMAE/4nAQwgMM+8MYQAAvYER7yMcYioAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjwvbWF0aD4wTGvlAAAAAElFTkSuQmCC)
If
then A2 ![equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAJCAYAAADU6McMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAIzv8arAAAABZJREFUeNpjYMAE/4nAQwgMM+8MYQAAvYER7yMcYioAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjwvbWF0aD4wTGvlAAAAAElFTkSuQmCC)
Maths-General
maths-
The perimeter of a
is 6 times the A.M of the sines of its angles if the side
is , then the angle A is
The perimeter of a
is 6 times the A.M of the sines of its angles if the side
is , then the angle A is
maths-General
Maths-
If the angles of triangle are in the ratio 1:1:4 then ratio of the perimeter of triangle to its largest side
If the angles of triangle are in the ratio 1:1:4 then ratio of the perimeter of triangle to its largest side
Maths-General
Maths-
The angles of a triangle are in the ratio 3:5:10.Then ratio of smallest to greatest side is
The angles of a triangle are in the ratio 3:5:10.Then ratio of smallest to greatest side is
Maths-General
Maths-
Maths-General
Maths-
The sides of a triangle are
Then the greatest angle of the triangle is [AIEEE 2014]
The sides of a triangle are
Then the greatest angle of the triangle is [AIEEE 2014]
Maths-General
Maths-
Maths-General
Maths-
If the sides of a triangle are in the ratio
then greatest angle is
If the sides of a triangle are in the ratio
then greatest angle is
Maths-General
Maths-
where are real and non-zero=
where are real and non-zero=
Maths-General
Maths-
Maths-General
Maths-
In ![straight triangle A B C text , if end text c squared equals a squared plus b squared comma 2 s equals a plus b plus c text then end text 4 s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis equals](data:image/png;base64,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)
In ![straight triangle A B C text , if end text c squared equals a squared plus b squared comma 2 s equals a plus b plus c text then end text 4 s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis equals](data:image/png;base64,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)
Maths-General