Maths-
General
Easy
Question
If
, then
_______________
![square root of 3 divided by 2](data:image/png;base64,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)
- 1
Hint:
Find the value of x and substitute in sin3x to obtain the value.
The correct answer is: ![square root of 3 divided by 2](data:image/png;base64,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)
Related Questions to study
physics-
Which one of the following is
graph for perfectly black body?
is the frequency of radiation with maximum intensity,
is the absolute temperature.
![](data:image/png;base64,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)
Which one of the following is
graph for perfectly black body?
is the frequency of radiation with maximum intensity,
is the absolute temperature.
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)
physics-General
physics-
Three rods made of same material and having same cross-section are joined as shown in the figure. Each rod is of same length. The temperature at the junction of the three rods is
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)
Three rods made of same material and having same cross-section are joined as shown in the figure. Each rod is of same length. The temperature at the junction of the three rods is
![](data:image/png;base64,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)
physics-General
physics-
The figure shows a glass tube (linear co-efficient of expansion is
) completely filled with a liquid of volume expansion co-efficient
On heating length of the liquid column does not change. Choose the correct relation between
and ![alpha](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAKCAYAAACALL/6AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAJVJREFUeNpjYEAFwkC8EIh/QGkeJDkQPxRZMRsQHwViLyh7PxBPgcrJA/E5NMMZaoG4EolvAMR3oeylQGyLruExmhNA4CAQuwHxNHTFxkB8mAETJAPxcSwGgT2zHIuGhVB/YYAgIF6HJjYbiBOhNquga+AD4vtArAbEgkA8H4hnQuW2QQMEA8hDg/IcWnjHA/ElBnIBAHRLGk6b6b/RAAAAT3RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT4mI3gzQjE7PC9taT48L21hdGg+O57raQAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
The figure shows a glass tube (linear co-efficient of expansion is
) completely filled with a liquid of volume expansion co-efficient
On heating length of the liquid column does not change. Choose the correct relation between
and ![alpha](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAKCAYAAACALL/6AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAJVJREFUeNpjYEAFwkC8EIh/QGkeJDkQPxRZMRsQHwViLyh7PxBPgcrJA/E5NMMZaoG4EolvAMR3oeylQGyLruExmhNA4CAQuwHxNHTFxkB8mAETJAPxcSwGgT2zHIuGhVB/YYAgIF6HJjYbiBOhNquga+AD4vtArAbEgkA8H4hnQuW2QQMEA8hDg/IcWnjHA/ElBnIBAHRLGk6b6b/RAAAAT3RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT4mI3gzQjE7PC9taT48L21hdGg+O57raQAAAABJRU5ErkJggg==)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJoAAACXCAYAAADtYULJAAAOc0lEQVR4nO3dfUwb9R8H8HfLtYAy2m4ansqDtBCh6gY6NNuo/hbDJGbIX5hsxtiYmMx/NkjEqON5iQOX2OkSH6IbxjkQyWKYUdk/My2bE7KHPygEC6U8uQ4nPRg4xtP9/th60m30uVcKn1dy6V13d/20e+fuvt/vtYg4juNASJCJQ10AWR8oaEQQFDQiCAoaEQQFjQiCgkYEQUEjgqCgEUFQ0IggKGhEEBQ0IggKGlmRxWKBSCTCSy+95Pe+RDSoTlbiCFh7ezv8jQkTiILI2tPc3Iz29nYMDAxApVLBYrEgPT3d5/3RqTPAWlpaIBKJVv1UXV3t8n0cPHgQ9fX1fLj++usv/z4YjgRUZmYm99NPP4W6DL/U19dzKpWKX1apVFx9fb1f+6QjWgBVVVUhLy8PL7/8cqhL8cu7776LQ4cO8csFBQWwWq38slqt5o+MFovFs536m35yR09PD8cwDDc4OBjqUvyyb98+DsB9065duziO47impib+6NbU1MTt27fPo/3SES1AKioqUFdXh7S0tFCX4rOOjg589tlnMBqN4DiOn5qamtDe3g4AMBgM2LZtGwAgLy/P4yMatToDoLW1Ff39/WhtbQ11KX45dOgQdu3ahR07djg9r1QqAcDz0+QDUNACoKKiAg0NDaEuwy/LuzPulZiYCOBOyzMtLQ0XLlzAjh070NnZiZ07d3q0f+qw9VNNTQ3MZjNOnjwZ6lIEIxKJ+HlP40NB80NfXx80Gg3+/PNPvzoz1wMKmh9KSkqQk5OD9957L9SlrHp0jeaj06dPo6+vDy0tLaEuJSzQEc1HGo0GH374IYqKikJdSligfjQf1NbWYvPmzRQyL4T1EW1sbAyjo6MYGxsDy7JgWRZ2u52fXz7Nz887TXNzc07LACCRSPhJKpU6LUskEsjlckgkEpw7dw6vv/46UlNTIZfL+SkpKQlKpRJJSUkh/mRWn1UdNLvdjp6eHphMJpjNZoyMjGB0dBSjo6NgWRZZWVl4/PHH8cgjjyAuLg7R0dFQKBR46KGHEBUVBYlEAoZhEBERAbFYDI7jsLS0BMC5ie6YX/5RcBwHsVjM/zvHcVhcXERVVRVSUlKwe/duzMzMYHp6GpOTk7DZbBgeHkZ3dzesViuUSiU/JScnIyMjAxqNBhqNBnK5XMBPcXVYNUEbHh6G0WjElStXYDKZYLVaIZVK8cwzzyArKwvJyclQKBSIjIyEWCzmAyMko9GIEydO4Pjx427XZRgGi4uLmJmZwcTEBIaGhtDd3Y0zZ85g48aNyM7OhkajwZYtW6DVapGSkiLAOwidkAVtaGgIBoMBBoMBly5dgkwmQ2FhIbKyshATEwOGYUISJld0Oh3efPPN+4ZovMUwDGZnZ2Gz2dDV1YWmpiYoFArk5+dDq9VCq9UiNTU1QFWvDoIH7dSpU2htbcX4+DiKi4vx5JNPIjo62u9bhYPt22+/xeDgICorK4Oyf4ZhYLPZ0NHRgRMnTmD79u3Yu3cv9uzZE5TXE5ogQbPb7airq0NXVxeKi4uRm5vLX/+Ei8bGRrz44ov8AHOwTU9P4+TJk/j111+h0+lQUVEBhUIhyGsHQ9CD9v333+Pw4cMoLy/nB2eJ56Kjo3H69Gl8/vnn+OKLL/Dqq6+GuiSfBDVoLS0tOHbsGOrq6oL1EuvG0tISdDodGhoaUFJSEupyvOby/FVdXb3ilxt0Op3bndfW1qK2tjZgxa5nUqkUX331Fd55551Ql+ITj49oLMvif//7H65cueLxziUSCX777TcsLCz4XCC5g2EYpKWlQalUrvqG04N4fEWu1+tx9epVt1/TWm5hYQFnzpzxqTDyH4ZhkJiYiLKyslCX4jOPgsayLL755hsAwNGjR716gd7eXnz99deIiIjwvjqCmJgYTE1NQafTYXp6OtTl+MyjoOn1ev7rVizLenVU+/LLL/HYY4/hlVdeQUtLC27fvu1bpesIwzB4+OGHYbVa8cEHH+C1117D888/j08//TTUpfnM7TUay7LIyclBcXEx9Ho9qqqqcPToUdjtdvc7F4lgs9kwMzOD2dlZtLW1oa2tDf39/SgrK8Ozzz4LqVRK13D4L1yjo6P4+eef8cMPPyAjIwNFRUUoKipCVFQUAEClUoXlNZrboFVXV2NychIff/wxP7jsOKK5O7ItD9pyAwMDaGtrw8WLF3H58mW88MIL2L17N5566inIZLKwPkV4gmEYfphteHgYnZ2d+OWXX9DZ2Ymnn34azz33HIqKiqBSqe7bdk0GjWVZNDY24sCBA3dWvhs04M7p1PH8ijtfIWjLzc7OorOzE11dXejq6oLJZMKmTZuwefNm5OfnIz09HYmJiYiMjATDMGBZ1pf3KTiGYRAVFYWoqCiIxWKwLAuLxYKenh50dXWht7cX//zzD5544gls3boVW7duRV5eHn/kWsmaDdryW1qWBw0ArFaryy/MehK0BxkaGoLZbEZ/fz/MZjPMZjMsFgukUikSExORkpKCrKwspKenIy4uDps2bUJ0dDSioqL4W4IcA/Kzs7MAwJ+ePT1NMwzjNO9YdsyLxWIsLi5ifn4es7Oz+PfffzE+Pg6bzYaBgQH09/djZGQEY2NjmJubQ3p6OtRqNTIyMvjJl4HzNRm0+1a+J2ierO9L0FbCsiyuXbsGm83m9Dg+Po6bN29icnISU1NTmJycRHR0NORyOWQyGX/DolQq5W9ovPcRgNMNkctvjJybm8Pc3BwmJyf5Gylv3boFmUzGTxs2bEB8fDzi4uIQFxeHhIQExMfHIyEhIaD3n4Vr0MLqyymOO1mzsrLcrjs9PY2pqSlMTU3h5s2bmJ+fx8LCgtPj4uIiPw+Av1Fy+Q2Ty5/bsGEDYmNjERsbi5iYmGC/3TVFkKB98sknbvvfCgsLcezYsYBsB9zpf4qJiRF8ID/Y7zVchdWpk4TvqTO8bgojYYuCRgQR0saAJ9clAHD58mXIZDK/twvVtp5u197eDrVa7Xa9cETXaGGGrtEIcYGCRgRBQSPC8Ognle/ycnUOAGez2bj9+/c/8Jeel0+FhYXcwMCA0+Trdv5u78/rBvs1vf0/WC2oMRBmqDFAiAsUNCIIChoRBI0MCLAtjQzQyEDYocYAIS5Q0IggKGhEGN707nq5Oo0M0MgAjxoDYWZdNAbC8Q2S1YGu0YggKGhEEDQyIMC2NDLgZmSgubkZBw8eRH9/v287p8ZAwK3JxoDBYEBBQYFQtZA1zGXQzp496/LXggjxlMugDQwMYNu2bULVQtaylXpyjUYjB4AbGBjwuTcYNDJAIwN3rdgY8LchAFBjIBjWXGPAYDA4NbXVajX/V1MsFosgxZG1Y8WgWSwW7Ny5E8Cdo9tbb70FjuPQ1NSEI0eOCFYgWRtWDFp7ezvfEDAYDPx8Xl4eHdGI1x44MtDR0QEAQf+1RBoZcLbuRgbubQg0NDQAAMrLy9Hc3Izh4WGUl5e73zk1BgIuXBsDHt+PJhKJ+HlP3ygFLfDCNWgeD6qH45sjqwfdJkSEEczeYNDIAI0M3BXUv6lO12iBF67XaHTqJIKgoBFBeHUrt7dft3OHOmydrbsO2xVXpu91hhxdoxHiAgWNCIKCRgRBQSPC8KZ318vVaWSARgZ41OoMM9TqJMQFChoRBP3IiwDb0sgAjQyEHbpGI8QFChoRBAWNCIKCRoThTe+ul6vTyACNDPCo1RlmqNVJiAsUNCIIGhkQYFsaGaCRgbBD12iEuEBBI4KgoBFheNPp5uXq1GFLHbY8agyEGWoMEOICBY0IgoJGBEEjAwJsSyMDNDIQdqgxQIgLFDQiCAoaEYar3ly73e607Gb1+4BGBmhk4C6XjQGWZfHjjz/ijTfeAODcGGhsbERxcTHkcvmKIabGQOCtycaAI0TV1dVOz+v1elitVpchI2Q5t/1oxcXFyMnJ4Zf1ej1qamowODgY1MLI2uI2aHK5HFVVVdDpdACA0tJSVFVVBeRoRh22ztZ9hy3LssjJyeFPl4ODgx4Fja7RAm9NXqM5OI5qALB//366NiNe87gfrbi4GFu2bMGBAwc83rlGo4HRaPSpMHK/8+fPQ6PRhLoMn3gcNLlcjnPnznl1NKusrERZWRkuXrzoU3HkP7///jvef/99VFZWhroUn7gMWnV1NUQiET8pFAp+3tE4cKWkpAQfffQR3n77bRw5cgR2uz1gha8HYrEYf//9Nw4fPsx/hiUlJaEuyzdC9ApPTExwpaWlnFwu59Rq9QN7vWtqamhk4J71VCoVJ5fLudLSUm5iYkKI/6qgCeofhn2QU6dO4bvvvsP58+dRUFCA/Px85ObmQq1W49atW1haWhKynJCLjIwEwzCwWCz4448/cOHCBZw9exbbt2/H3r17sWfPnlCXGBCCB81haGgIBoMBBoMBRqMRdrsdWq0Wubm5UKlUUKvViIuLw+3bt0NRXlCIxWJERkbi2rVrsFqt6Ovrw6VLl2A0GqFQKJCfnw+tVgutVovU1NRQlxtQIQvavYaHh2EwGHD16lWYTCb09PRgYmICGo0GmZmZyMzMRFxcHB599FEoFAokJCSAYUJ6g/CKlpaWcOPGDVy/fh3Xr1/HjRs3YDab0dvbC5PJhI0bNyI7OxsajQY5OTnIz89HSkpKqMsOqlUTtAdhWRYmkwkmkwlmsxkjIyMYHR1Fd3c3Jicn3W6v1+sRHx+P2NhYSCQSMAwDiUTiNO94BID5+XksLCxgfn7ead7xePz4cbS2trp93YiICCiVSn5KTk5GRkYGNBoNsrOzoVAo/P5sws2qDpo7Y2NjGB0dxdjYGFiWdZrsdjvsdju/PDc35xQax7JjAsCH0DFJpVKneZlMBoVCAblczk/Ll5OSkqBUKpGUlBTiT2b1CeugkfBBd9gSQVDQiCAoaEQQFDQiCAoaEQQFjQiCgkYEQUEjgqCgEUH8HyLmLhF/kbCBAAAAAElFTkSuQmCC)
physics-General
physics-
The spectrum of a black body at two temperatures
and
is shown in the figure. Let
and
be the areas under the two curves respectively. The value of
is
![](data:image/png;base64,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)
The spectrum of a black body at two temperatures
and
is shown in the figure. Let
and
be the areas under the two curves respectively. The value of
is
![](data:image/png;base64,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)
physics-General
physics-
In a vertical U-tube containing a liquid, the two arms are maintained at different temperatures
and
The liquid columns in the two arms have heights
and
respectively. The coefficient of volume expansion of the liquid is equal to
![](data:image/png;base64,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)
In a vertical U-tube containing a liquid, the two arms are maintained at different temperatures
and
The liquid columns in the two arms have heights
and
respectively. The coefficient of volume expansion of the liquid is equal to
![](data:image/png;base64,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)
physics-General
physics-
A bimetallic strip consists of metals
and
. It is mounted rigidly at the base as shown. The metal
has a higher coefficient of expansion compared to that for metal
. when bimetallic strip is placed in a cold bath
![](data:image/png;base64,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)
A bimetallic strip consists of metals
and
. It is mounted rigidly at the base as shown. The metal
has a higher coefficient of expansion compared to that for metal
. when bimetallic strip is placed in a cold bath
![](data:image/png;base64,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)
physics-General
physics-
The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity
and 2
and thickness
and 4
, respectively are
and
. The rate of heat transfer through the slab, in a steady state is
, with
equals to
![](data:image/png;base64,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)
The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity
and 2
and thickness
and 4
, respectively are
and
. The rate of heat transfer through the slab, in a steady state is
, with
equals to
![](data:image/png;base64,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)
physics-General
physics-
A solid material is supplied with heat at constant rate and the temperature of the material changes as shown. From the graph, the false conclusion drawn is
![](data:image/png;base64,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)
A solid material is supplied with heat at constant rate and the temperature of the material changes as shown. From the graph, the false conclusion drawn is
![](data:image/png;base64,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)
physics-General
physics-
The energy distribution
with the wavelength
for the black body radiation at temperature
is shown in the figure. As the temperature is increased the maxima will
![](data:image/png;base64,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)
The energy distribution
with the wavelength
for the black body radiation at temperature
is shown in the figure. As the temperature is increased the maxima will
![](data:image/png;base64,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)
physics-General
physics-
A metal rod of length
has cross sectional areas
and
as shown in figure. The ends are maintained at temperatures
and
. The temperature at middle point
is
![](data:image/png;base64,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)
A metal rod of length
has cross sectional areas
and
as shown in figure. The ends are maintained at temperatures
and
. The temperature at middle point
is
![](data:image/png;base64,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)
physics-General
physics-
The coefficient of thermal conductivity of copper is nine times that of steel. In the composite cylindrical bar show in figure, what will be the temperature at the junction of copper ad steel?
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)
The coefficient of thermal conductivity of copper is nine times that of steel. In the composite cylindrical bar show in figure, what will be the temperature at the junction of copper ad steel?
![](data:image/png;base64,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)
physics-General
Maths-
Which function is shown in graph?
![](data:image/png;base64,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)
Which function is shown in graph?
![](data:image/png;base64,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)
Maths-General
Maths-
Which function is shown in graph?
![](data:image/png;base64,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)
Which function is shown in graph?
![](data:image/png;base64,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)
Maths-General
Maths-
Which function is shown in graph?
![](data:image/png;base64,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)
Which function is shown in graph?
![](data:image/png;base64,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)
Maths-General
physics-
Five rods of same dimensions are arranged as shown in figure. They have thermal conductivities
When points
are maintained at different temperature, no heat would flow through central rod, if
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIMAAACICAYAAADEWlilAAAO6klEQVR4nO2df2gb9f/Hn7HfPwS7tRZmcZtSGU3VvzpapX/caMsQK5O6ywSdltk0Yx0oqJAVmWjWP25/7A+HkloVbQIpU7Q2piAtyLy2DuzmxfafMRORTsFELditV9b9ldfnj/m+b7Ok+XG5X83dA4LL9Xr3anzk9X7f3fv9eruIiODgAOAeswNwsA6ODA4KjgwOCo4MDgqODA4KjgwOCo4MDgr/Z3YAZrL5FovL5TIxEmtg28yQSqUwNDSEmpoa1NTUYGRkBJIkYXx83OzQTMOWMsRiMezduxdNTU1YW1tDJpNBXV0dnnjiCTz22GNmh2caLrvdjo7H42hvb0csFkNvb2/Wz9xuN5LJpEmRmY/tMoMgCOB5PkcEAOjv7zchIutgq8yQTCbR0tICURTR1dVldjiWw1aZ4cqVKwCA9vZ2kyOxJraS4ebNmwCA2tpakyOxJraS4amnngIASJKU87OpqSmsr68bHZKlsJUMbrcbHo8HTz75JERRBBFBlmWMjIxgz549TsYgmyHLMgmCQC6Xi1wuFx04cIBEUTQ7LEtgq6sJh8LYqplwKIytZXCSYja2lYGIsHfvXvz1119mh2IZbCkDEWFgYAC3bt0Cz/NYXV01OyRLYDsZmAidnZ2or6/HO++8gyNHjjhCwGYybBaBPZR6/PHH8d577zlCwEYy5BOB0dra6ggBm8hQSASGI4QNZChFBIbdhahqGcoRgWGUEESkvAptMxJdZUin05AkCZIkKcPJNm9Lp9O6nVuNCAy9hYjH46ipqcE999yDmpoaZRt7f+LECc3PWRJ6PviIxWLKAyFBEIiIKBKJkMvlIrfbrdsDokwmQ/39/RQKhQru19TURMvLy1v+fHFxkTo6OujWrVtah0iiKFJzczPJskxERJIk0alTpyiRSGh+rlLR/amlIAiKCKlUioLBIEmSpNv5MpkMnTx5kkZHR4vuW0wGIqLp6Wk6fPiw5kIEg0ESBIEymQwJgqDrZ1IqusvAcRwlEgmSJEmRQi8ymQwFAgE6c+ZMSfuXIgORPkKwz8Xv91MqldLsuJWgqwypVIo4jqNIJEKxWEzPU5UtAlHpMhBpK4QsywSA/H6/0kzkI5PJUCaTqfh8paJ7nwEAffPNN1vuI8sySZJEv/zyi+rzqBGBqDwZiLQTIhaLEcdxBID+/PPPvPvIskx+v594nqfvv/++ovOViq4y+Hw+On78OAGgtbW1vPukUinieZ54nld1DrUiEJUvA5E2Qvh8PorFYnTq1CniOC7vZxOJREgURYpEIgTAkKZEVxkAkCzLyh+9VUqUJEmVDJWIQKROBqLKhWCfCxGRx+Mhn8+X0xxs/qx4njekg6nbfQZRFOHz+VBbW4tz584BAIaHhzW7oUJEGB4ehsvlQiAQ0OSYpdLT04PBwUG89NJL2NjYKPn3iAiRSAQ+nw/33XcfACAcDuOzzz7D0NAQUqmUsu/dg3N37NihTfBFAtQcSZKI4zgSBEFJb6z/4PP5SBTFLPPLzQyVZgSG2szAKDdDeDwe5b7L8ePHc7a5XK6cey+s72AEusjg8XiUF/vjNm/zeDxZ+5cjg1YiEFUuA5F+9yEYkUik4BWHllhiqHypMmgpApE2MhARhUIh6u/v1/wy8KeffqK1tTXKZDKG3Jm0xIOqa9euYWVlpeh0eLP6CMXo7+9HZ2cnBgYGNOsTTU1N4eWXX8Yrr7yCzs5OZZ6onliijE80GsUDDzyAiYkJnD59Ou8+4XAYf/zxB8bGxgyOrjTYw7CBgQGMjY1VXBZoz549uHDhgvK+paWlouOVhO65RwNCoRB5vV7Nj6tVM7EZvZoMI7BEM1GIcDiM+fl5y2aEu9GjyTAKS8uw3URgbFchLCvDdhWBsR2FsKQM210ExnYTwnIyVIsIjO0khKVkqDYRGP39/WhqatL02YweWEaGahWBEQgE4HK5LC2EJWSodhEYVhfCdBlmZmbw5ZdfVr0IDCsLYaoMMzMz+OSTTzA5OWlmGIZjVSFMk4GJcOHCBdx7771mhWEaVhTCFBnsLgLDakIYLoMjQjZWEsJQGRwR8rNZCDMxTAZHhMIEAgH8888/+Oijj0yLQZUM5S7QMTMzg48//tgRoQgffvghLl++jHA4bMr5y5YhEomUNQSLZYTPP//cEaEEQqEQ5ufnyxKCNtV1qKTfUdawt2QyiWPHjuWtyp4PlhEcEcpjbGwMXq8XQPHVcaamprLEaWhoQF9fn6rFVcrKDBMTE+B5vqR9l5aWMDw87IigklAohLm5uaIZ4tFHH0VDQwP27duHt99+G/v370d3dzfi8XjZ5yw5M4yPj8Pr9UKSJOzevbvgvktLS3jzzTcxPT29LUWIx+NYWFgAADz00EPo7e3N2tbR0YG2tjbd4wiFQkUzhNvtxv33349Dhw6hra0NbW1teP/997GwsFB+jKUMlJQkSZkMU+xXFhcXqauri1ZXV8sekGk0Ww2IZTPCACilBNiMML/fb3h1lWJVaLBp7iaLU81E3aKZYX19HW+88QZefPFFXL16teC+LCNEo1HU19eXZ6WFaGtrQ0dHBwYHB9Hb24vZ2Vmsra1BlmVTFigplCFYc3Ds2DGsrKygpaUFqVQKDz74YNnnKbrexMjIiPLvmzdvYnp6Gj/88EPOfttRhEceeQSiKKKpqSnnZ263G3Nzc7h48SJ27tyZd+lDo/F6vTkFy86ePQsAePrpp7GwsIDXXnsNiUQCbre7/BMUShuxWCxrKnihaXD79u2j+fn5slOTmWzVTCQSCeJ5ngRBMLXg1t2srq5SY2NjVhPc3Nyc1SRwHEc+n0/V8fNeTaTTaXg8Hvj9fmUqeDwex+joKKLRaFa2YEiShHfffRdLS0vlG2kxrly5gmg0iocffrjgNyydTiMejyMej+u+2NmNGzfA8zxmZmaUzJtOp9HY2KiqSchLPkMkSaJgMEjBYFCxbvO2reozra6uUldXFy0uLqoy02i2ygwcx1EwGCQABTMDK7Oj9ptYKlt9rsFgkCKRiPKeVXlRWz9L8+l120mIfDKw4ltEhXvmqVQq63+EXmz1efI8TwCI4zjieZ6am5sJAAWDQdXn0mWu5XYRIp8MsVgsqziG3+/PW4KIfQtZCT89KPQ5SpKU86q0joNuE29XV1eptbVV84mtWnK3DKxp8Pl8SsdZEAQCQM3NzSQIQl4p1BYnK4QZXyjdHmHX19cjGo3C6/Xi+vXrep1Gc4LBIPbv3690nOvq6hAMBvH666+jrq4u5z5DX1+f5jGwzuL58+fR2tqq+fG3RG/blpeXqaury5IZQqsp+VrWXDKzidV9cEtTU5NyB207ZYhipNNprK+vY3x8PO9NKzWYlhEYRllnxQxRSWYQBIF4ntesDPLGxgZ1dXXRjz/+qMnx1GBo5RarCaFH5RY1bGxs0OHDh2l6etrUOAwv42MlIawgg1VEIDKp9J9VhDBbBiuJQGRiHUgrCGGmDFYTgcjkoqBmC2GWDFYUgcgCFWKXl5eptbXVlJFRZshgVRGILFD6j92H4HkeN27cMDscXbl9+zaOHj2KwcFB9PT0mB1OLmbbyDBj7KSRmcHKGYFhGRmIjBfCSBl6enosLQKRBZqJzbS2tuL8+fNV12R4vV688MIL1mwaNmEpGYDqEyLfIFarYjkZgOoRYjuJABi0xEA6nVbWX9qxYwfcbnfWtt27d+cM6twsxHYafs/YbiIAMOZqgo0lBJC1Jjb+G0FUaE1sPTuVenUgS1mH24oYdjVRyZrYegmhhwzbVQQiA2WodE1stmL9xsaGZjFpLUMhEdjKvux19zYrTNYxRAat1sRmK8VpJYSWMhTLCIlEQhnOznGcso01n5UMcdcKQ/sMWowK0lIIrWQ4efIkjY6OFt1PFEVFBFmWDVkwvhwMkcHn85HP58uaOn43m785hTqURNoJoYUMgUCAAoFASfsKgkCRSIRSqRT5/X7D1qssFUNkYBJsNSGF6E72YG1oKfMQtBCiUhnKEYGIlCsnNX0mI9BdBlEUs+Yichy35dByljpLnbZWqRCVyFCuCKlUSin2YVV0laHcNbHZ/MFyetaVCKFWhnJFILpzX4U1lcUuqVlJAKPR9Xa0IAjYtWsXJElCIpEAcGdtCZ7n8e+//+KDDz7ImqE0OTmJSCSCZ599tuRzsBXrjx49itu3b2v+N9zNmTNnsv5bKpOTk+jr60MsFkN7e3vBWprnzp2rKEbVGK5fCaj5VqjJEOVmBjUZgSh7ZjfRnY5kob6TKIrVlxnUkEwm0dDQUPbv6Z0h1GaEZDKJ4eFh8DyvZIPnn38ely5dwjPPPIOpqSmk02kAd57h7Ny5U5nnaTSWkcHlcsHlcuGtt97C0NCQqmPoJYRaEYA7tTN/++03AMB3332nbON5Hrt27UI4HIYsywCAixcvqirmqRmG5yIDYOtRF6OUZkJt06AG/Hc3kr2Mbioskxm0hK0lycrlqSUcDuP3339XlRHUQP/VfpYkCTzPG75cU1XKAFQuRDgcxtzcHEKhkMaRWRhD85AJFGoytmomSm1mqo2qzQyMcjOELTPCf1S9DEDpQthZBMAmMgDFhbC7CICNZAC2FsIR4Q6GjI62Emy0MhNiYmICV69etb0IgA1lAP5fiC+++AKXL1/GV199ZXJE1qDoEgPVzJEjR/D111+bHYZlsLUMDtnYqgPJOHv2rPJgjL08Hg9mZ2fNDs1UbCnD6dOnwfM8IpEIiAiyLOPgwYPo7u62tRC27EACwMrKCg4ePAgAqK2txauvvorr16/jxIkTZa/oWy3YMjOsr6/j77//zpnse+jQIfz6668mRWU+tpRBkiQ899xzOdvNGmFkFWwpw7fffosDBw7kbL927ZoJ0VgHW15aut1u/PzzzzlrR3g8HjQ0NODTTz81KTJzsV0HMplMorGxMUeE2dlZRKPRkhd9r0Zs10xMTExgcHBQec/WjOju7kYsFjNkjWurYqvM4PF4EI1GwXEcJicnsbKygkuXLoHneUiSZGsRABv1GdbX15VZXZtpaWkxZX1rK2IbGRyKY7s+g8PWODI4KDgyOCg4MjgoODI4KDgyOCg4MjgoODI4KPwP9HXFcN7Rf0wAAAAASUVORK5CYII=)
Five rods of same dimensions are arranged as shown in figure. They have thermal conductivities
When points
are maintained at different temperature, no heat would flow through central rod, if
![](data:image/png;base64,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)
physics-General