Physics-
General
Easy
Question
The coefficient of thermal conductivity of copper is 9 times that of steel. In the composite cylindrical bar shown in the figure, what will be the temperature at the junction of copper and steel?
![](data:image/png;base64,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)
- 75
- 67
- 25
- 33
The correct answer is: 75![℃](data:image/png;base64,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)
Temperature of interface
![theta equals fraction numerator K subscript 1 end subscript theta subscript 1 end subscript l subscript 2 end subscript plus K subscript 2 end subscript theta subscript 2 end subscript l subscript 1 end subscript over denominator K subscript 1 end subscript l subscript 2 end subscript plus K subscript 2 end subscript l subscript 1 end subscript end fraction](data:image/png;base64,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)
It is given that
So, if
, then
![K subscript C u end subscript equals K subscript 2 end subscript equals 9 K](data:image/png;base64,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)
![rightwards double arrow theta equals fraction numerator 9 K cross times 100 cross times 6 plus K cross times 0 cross times 18 over denominator 9 K cross times 6 plus K cross times 18 end fraction](data:image/png;base64,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)
![equals fraction numerator 5400 K over denominator 72 K end fraction equals 75 ℃](data:image/png;base64,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)
Related Questions to study
physics-
A student takes
wax (specific heat
) and heats it till it boils. The graph between temperature and time is as follows. Heat supplied to the wax per minute and boiling point are respectively
![](data:image/png;base64,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)
A student takes
wax (specific heat
) and heats it till it boils. The graph between temperature and time is as follows. Heat supplied to the wax per minute and boiling point are respectively
![](data:image/png;base64,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)
physics-General
physics-
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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)
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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)
physics-General
physics-
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==)
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