Physics-
General
Easy
Question
The adjoining diagram shows the spectral energy density distribution
of a black body at two different temperatures. If the areas under the curves are in the ratio 16 : 1, the value of temperature
is
![](data:image/png;base64,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)
The correct answer is: ![4000 blank K](data:image/png;base64,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)
[Given]
Area under
curve represents the emissive power of body and emissive power ![proportional to T to the power of 4 end exponent](data:image/png;base64,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)
![rightwards double arrow fraction numerator A subscript T end subscript over denominator A subscript 2000 end subscript end fraction equals open parentheses fraction numerator T over denominator 2000 end fraction close parentheses to the power of 4 end exponent rightwards double arrow fraction numerator 16 over denominator 1 end fraction equals open parentheses fraction numerator T over denominator 2000 end fraction close parentheses to the power of 4 end exponent rightwards double arrow T equals 4000 K](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYoAAAAsCAYAAAB7TP9XAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAbSkFbcgAAB61JREFUeNrtnW+EVWkcx3/GlWQsyUiSSEYy0pu1kowlScbKsjKSZBgZa/UislaSRC8zMowkWYmsrGTfZGWMsZaM0YuMyNoXvRiRJCtX3H2+zu/qzOmcc8/tnvP8Oef74cedc56cnnO/9/nz+z3P7xEJi3NCQuaksQ5fA6E2SFWcMNY21uKrCJIxY0tsDAi1Qapis7Fnxh4bO87XEeT395ex7WwMCLVBqmLe2KSx08Zu1KROMzWpy6zWJY/fjB3Qz2wMqA1qg5QORPRIP2819rIGdTpkbEWqcaMNSeSi6+RYW8uVQUtne+MZ9y8YOxX721VjMGrsor73PL42dt/YO2MfjD3MqRu1UQ9tkMCB0J4a2xG7tmxsT8B12mTsH2P7LTaQKxU/Y0zrNJxyL6tBss2vxqZ7PHtaO4ZR/fsriYKsi9RGrbVBAueSsfOJa1cLTGd95oqxOYvP+97YXUtuhisFyrluCLKev1cHJdRGc7VBAmSPzh6SjOuoL0RGjL2VKHBni8spnW0VbJPIXTMSaEfRjYNRG83VBgmQRcn3o7YSM4+sshc8qtMv6gKxCYKF31l61i2J4gAhdhSr2qBRG83VBgkM+Iqv59y/Z+xYxj0EIn1dQvtcomClTV5abAAPaoPrM1mNEQLX8Nk/MPafDkbgijpJbTRGGyQgIFyslBjOKTOV05FAjDs8rBcaodeWn4lZ13vLz1wTvxcbdHKuL+sABO9tSBu3F1J9TIzaIKRPMCOY6FFmu/6AkwzpaNBHzoidwGEcLC1+YvmZd7WuoXUU7yQ9PoAVSK+ojUZogzSEbxyIvyh3jJ21/EwEZ29bfuaU1jW0juIPyd4/0KY2GqEN0hBciL8o2DR4zPIzZ/XHaZOj2uiG1lHAvXQi5TpcJX9TG43QBmkIEP+0p/83+KBHLD/zgYMGaFjs+9vL6Cg2GFvQxrMVm6EiXnaY2miENkhDcCH+oiB2MmT5mW+MbbT8TF/jREV2AKOxvilRkPejdhyHqI3aaMN2CpMkEzkDFWQBmNPZK2xer1VdLk+DSGdzR/IXFgWJC/EPOpKtI20h1Ib/2rCRwiQ+m3qe813/Kev3tEzotarLgd06c46DAdJV/jTZGLCufF9Nr6utFCaiI/qpjPr/IJHbPAm2AExWWK7L8cR7QKcykAv/fI/pC2FjUFVd66w9asONNmylMDkYG82n1R875I+kXP9W71VVrgsyW1yIdRJHB60w0gz8qxVvcoPfy9gYlE8I2qM2wtJG0RQmX/q9AiySgFtnZ07932i5tH+7VmG5Lt1sFrB9ZYodBv/VkBCOGsura1O1R2240YaNFCbXjP3Yo/4fc/59u8JyXbB5eTZjFjIQt7TCd0v4Yn012z+QOr2fKhs+H7RHbYSrjS42UphgdL5UoP55DfuHCsuJfFqJhtWiODdkc9k997WGzijoXnA/avRVe9RGONroJ4XJl36vWJa6u0D91zJcRRsTrqKyywHsFVrQz4jXPHLpCyRsDKg9asMnbdjI4lC0c0GsJC2AfEQ+D1KXWa77HuJpVfD50qAVR48zLISNgf261ll71IZ9bbhIYZJVfyzTvZly/basX85adrnue4jnGYNLblFKWPlE2BiwrnxfodfVVRaHrPrDDXZOG+oNOktasFAu7T0gQwE2Iu7gT5ONAevK99XkurrK4pBVfwSREYxHsBnB5fmMWVLZ5bLew5h2LF5kujjXoB/Ixz7KwtcKXyLOSGhr75510prrHDFphJLCAykcLoq9NA7UBtO7kD45IZ+ffV1n+kn8hp58MjYC2CvRMru07fcuc8Sk0RJ/D49KgjOqpz0Y5VIbhGRMi7Bb8bH4e7512bySPtYop7BTPk/c5TpHTBpbJLxU0h1qg9og/jGv4jpt7EZD6oz1yYOuJEhulnGdIyYNBMZCO5ymQ21QG8QvDsinTR1bJdpG3wSwNO3MgO8tucvTdY6YNKbF31MGfe0oqA1CYsBH+VTWL7talui4ybpzSiKf+JeAlQcIHiY3FLnOEZPGvQEbvSZ2FNQGITGw4y+Z1hdJvGYaUPfRPkZeceC7/j1j2u8yR0wWrwPs+DvUBrVB/GCPzh6SjBt72JB38EzdBEXZpQ3B7oz7LnPEpAF/9WqA30uH2qA2iB8sSv45ta3ED7d7fSnjxzChwlvVz2XfrwLMpm710bFiG/6mnDIuc8SkAffJz+woqI0aaYNYBEGs6zn34btM206PteUzKTMRjLywnnyL2pPEaGzQ+1WBZ701tr1HOQT570vvPSYuc8QkQdzpvdaRHQW1URdtEEts02l1XtKuqR4dSdIHiin3eOxvHAT+sMT7VYI4Ta8lwY+kuC/XVY6YJGhELgeqUV/SSlAbpLHcL+DawSjqRca98RQxvpP1O1mH9FpZ96sE7gIsCd7Xo+EqmvfeVY6YOPslOvQktOyuNg4lojbC1AYJbDaCGMWuAiPAdon3qwZLGVekHulLumcCH6JcqQ1qg9hmVKfZaWfaJmcErR4zhn7v2wBxm7kafE9wlZylXKkNaoO4mElgq39WZspkjGFc1h/hN+h9QgghnoNOIi9g1z3vFj5THLKBGMaxEu8TQgjxnCKBOgTIEQBHDpqfKrhPCCHE8D++nTHSiNM4agAAAed0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+JiN4MjFEMjs8L21vPjxtZnJhYz48bXN1Yj48bWk+QTwvbWk+PG1pPlQ8L21pPjwvbXN1Yj48bXN1Yj48bWk+QTwvbWk+PG1uPjIwMDA8L21uPjwvbXN1Yj48L21mcmFjPjxtbz49PC9tbz48bXN1cD48bWZlbmNlZCBzZXBhcmF0b3JzPSJ8Ij48bWZyYWM+PG1pPlQ8L21pPjxtbj4yMDAwPC9tbj48L21mcmFjPjwvbWZlbmNlZD48bW4+NDwvbW4+PC9tc3VwPjxtbz4mI3gyMUQyOzwvbW8+PG1mcmFjPjxtbj4xNjwvbW4+PG1uPjE8L21uPjwvbWZyYWM+PG1vPj08L21vPjxtc3VwPjxtZmVuY2VkIHNlcGFyYXRvcnM9InwiPjxtZnJhYz48bWk+VDwvbWk+PG1uPjIwMDA8L21uPjwvbWZyYWM+PC9tZmVuY2VkPjxtbj40PC9tbj48L21zdXA+PG1vPiYjeDIxRDI7PC9tbz48bWk+VDwvbWk+PG1vPj08L21vPjxtbj40MDAwPC9tbj48bWk+SzwvbWk+PC9tYXRoPm0OSA8AAAAASUVORK5CYII=)
Related Questions to study
physics-
Five identical rods are joined as shown in figure. Point
and
are maintained at temperature
and
respectively. The temperature of junction
will be
![](data:image/png;base64,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)
Five identical rods are joined as shown in figure. Point
and
are maintained at temperature
and
respectively. The temperature of junction
will be
![](data:image/png;base64,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)
physics-General
Maths-
If
, then
_______________
If
, then
_______________
Maths-General
physics-
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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)
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,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)
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,iVBORw0KGgoAAAANSUhEUgAAAQYAAAB1CAYAAACs9E/nAAAYwklEQVR4nO3de3QU5fkH8O/M3pNsLhtyIYFQcgGjhmsVPFAsijVHiIAo2sZKWypptaVHCIqt2B60CQJ6WrTnRBSPYo8QcwpIqUTggPRQtdyCCCcmISFccpFsdjfZzd5md97fH/xmmrC5LBpmNuH5/LmZ2X03s/vd952Z93k5xhgDIYR0w6vdAEJI5KFgIISEoGAghISgYCCEhKBgIISEoGAghISgYCCEhKBgIISEoGAghISgYCCEhKBgIISEoGAghISgYCCEhKBgIISEoGAghITQqvniJ0+ehNPpxKxZs8BxnPz4mTNncOrUKej1euTn5yM2Nlb+26FDh9DU1ISEhAQ88MAD4DgOwWAQhw8fhtVqxezZs5GUlCRvX11djVOnTkEURaSlpWH27NmKvkdChiJVegyBQAB/+ctfMHfuXBQXF0MQBPlv//73v7Fq1SrYbDbs2rULRUVF8Pl8AIC33noLf/3rX+HxeLB+/XqUlJQAACorK/H+++/jyJEjeO211+Tn2rFjB371q1/h8uXL6OjowObNm1FdXa3smx3C3G43HA4HnE4nRFFUuzlESUwFp0+fZr/97W/ZunXr2OzZs5nP52OMMRYIBNjcuXPZBx98wBhjrLOzk02cOJF99NFHrLm5mU2bNo2dPXuWMcZYVVUVy8rKYpcuXWK7d+9my5YtY2vXrmWrVq1ijDG2f/9+lpOTw7744gv5dT0eD/N4PAq/26FHEAS2fft2ds8997AlS5awu+++m23btk3tZhEFqTKUyMvLw6ZNm7Bjxw7s3btXfvzSpUtobW3FhAkTAABmsxmjR4/G2bNnYTabYTQaMWrUKADA2LFjodFoUFNTg4KCAvj9fthsNjz11FMIBAJ49dVXUVBQgGnTpsnPbzQalX2jQ9TGjRuxd+9evP3228jJyUFraysaGhrAGOsx5CPDl6rnGBhjYN1KTgqCAI7joNX+r1lpaWlwOp0QBAFarRY8f3X0YzAYkJCQgK6uLgDAokWL5H1Onz6NM2fO9BhWkPCcPHkSGzZswIEDB5CTkwMASE1NRWpqqsotI0qKyKsS3X+VdDodoqKi5F8r6W+MMZhMJuj1+pD929ra4Ha7kZycrFibh4tt27Zhzpw5mDhxotpNISqKqGAYMWIEAoEArly5Ij9WV1eHsWPHIjk5Ge3t7XC5XAAAp9MJm83W6y+ZXq9HVFRUj5OaJDz/+c9/kJ2dLffMyM1JlaMviiKCwSA8Hg+CwSDcbjeCwSASEhJw1113oby8HKIo4pNPPkFrayvy8/ORk5OD+Ph47NmzBwCwZcsWZGRkIC8vL+T5J0yYgIyMDLz66qsAAJvNhjfffBPt7e2Kvs+hKi4uTu0mEJVxjCm/rkR1dTVKS0vR0dEBt9uN+Ph4/PjHP8ZDDz0Eh8OBl19+GefPnwcAvPjii3K3tq6uDi+99BLcbjdiY2OxceNGWCyWXl/DarVi6dKlMJlMCAaDePjhh/Hoo48q9h6HqmeffRZffvkldu7ciaioKFitVthsNowbN07tphEFqRIMJHLZ7XYUFhbKV4A6OjqwbNkyzJgxQ+2mEQVRMJAQnZ2daG5uhiiKiImJQUZGhtpNIgqjYCCEhKBTz4SQEKre4ERIpGGMIRgM9nis+w133bfRaDQ97rkRRRGMMWg0mpDnDQQCvT5XpBoarSREIV1dXVixYgXsdjt4ngdjDDU1Nfjzn/+MefPm4dy5c3juuecAXL3ytWnTJkycOBG1tbVYu3YtWltbsXz5cjz44IMAAIfDgbVr16K+vh4ajQZGoxFvvfUWoqOj1XybA4qYcwwXL15EY2Mj3G632k25aTHGkJSUhLi4OASDQcTGxiIlJaXXX8CbRVVVFYqKirB7926YzWY8/PDD+OlPf4qf/OQnKCsrw9atW/Hpp5/ivffeg91ux/jx41FRUYG///3vsFqteOyxxzB16lSUlpaC53kcOHAAY8eORVZWltpvrV+qB4Pf78ehQ4dw8uRJdHV1hXTjiDJ4nkdiYiKio6PBcRz0ej3i4+ORkpKC22+/HWazWe0mquJ3v/sdfD4fysrKcPDgQbzwwgvYs2cPLBYLvvnmG8ycORMVFRVISUnBH/7wBzgcDqxcuRIzZszAb37zG5w7dw6VlZVqv43rpvpQ4tChQzh27Bh4npc/lERZHMchKioKOp1OHicHAgEIgoBgMAjGGKZMmXLTzU5tbGzEwYMHsWXLFgBX5+BIs3wBIDo6GkajES0tLZg0aRLeeeedHvsePnx4yE7kUzUYampqUF1dTYGgMp1OB41GI890lY6FIAiw2+0wGo1oaGjArbfeqmYzFffhhx8iOzsbkydPBoCQzyjP84iNje31s9vQ0IDLly9jypQpirR1sKkWDE6nE1VVVfKHkqhDCoPeRpQcx8Hn88HhcKCtrQ1tbW09yuYNZ06nExUVFVi+fDl0Oh0AwGQywefzycNdr9eLQCCA+Pj4kP39fj/MZrO871CjWjCcPXsWLpcLUVFRajWBAPD5fL2GgoTneXR2dsLpdKKlpQVxcXG9TnUfbv75z38iGAxi4cKF8mO33XYbrFYrGhsbkZeXh6qqKgBAZmZmyP5jxoyBTqfD559/jvvvvx/A1eHFyJEjYTAYlHkT34EqweB2u9HU1ISoqCgaQqiE4zh4vd5+Q0HCGEN7eztGjBiBzs5OjBgxQoEWqicQCODDDz/EggULEBMTIz+emZmJp556CqtXr8aUKVNw5MgRPP/8873W/cjNzcULL7yAZ555BosXL0ZnZyd0Oh1efPHFIREMqlyVqKurw+nTpykUVCSKIhwOB/x+f1jHgeM4jBs3DhkZGcjOzlagheoRBAENDQ0YPXp0SI9WFEWcPXsWdrsdSUlJyM3N7fN5GGP48ssv4XK5wPM8xo8fj8TExBvd/EGheDAIgoCjR4/CZrNRMRCVcBwHt9uNtra2sPcRRREpKSm45ZZbkJmZSUPAYU7xoYTL5YLX64XBYKAeg0o4joPVar2u4q4cx6GjowMej4fODd0EFA8Gp9MJjuOGxDhruAoGg/B6vde1D8dx8Hg8cLvdEAQBoihSj28YUzQYGGNwuVwwmUzUW1AJx3FwOBwQRfG6jwHHcbDb7fLNTxTuw5eiwSAIAnw+301xuStS8Twv33p+vb/4UjAIgkDBMMwpGgxutxsajYZuaFIJx3EIBALweDzf+jl8Ph9cLpc8jZgMT4oGg9/vh06no2GESnieh9/vh9fr/VbHgOM4iKKIjo4OebEgOpbDk6LBEAwGKRhUxPM8gsEgfD5f2PcuXEsURXi9XjqOw5xiwSDdX67VaukDpRKe5+H1eiGK4oDDOVEU4ff75dmV3R9vbGyEVquFyWSiKxMK02g00Ov10Ov1MBqNiImJgcViGfThuWLBIJ0FH6qTSoYDjuPgcrkGDGbGGHw+X5/zKNra2tDa2ipvS5QhVYDS6/XgeR5GoxGpqakYM2YMxo8fP6gngxULBmk8OlRq3g1HjDE4nc4Bt9NqtYiOjo748mM3G+nHVQpjv9+PK1euQK/XQ6vV4pZbbhm0HpyiwXBt8UyiLFEU4Xa7+z0GJpMJJpNJwVaRgXAch66urpBJb9LQ0OVyoaurC1arddAWclb055uCQT3Sh6uv0nmMMej1eowYMQI6nY6GCBGC4zj4/X75StC13x/p3pL09HQ4nU5YLJZB6ZUrGgw0jFAPz/MQBKHPLzxjDHFxcbBYLBQKEUSa1yIIQq8/qlIxHZfLheTkZHg8nkGpz6l4j4GoQ7qHQRTFkL8xxqDT6ZCcnAyz2dzrNkQdjLGwKqe3t7cjOztbDv/v2jNXLBg4jqNgUJFGo5EvVV77oWGMwWAwIDk5GXq9nnoMEUIaRnR1dfW7Hc/z6OjoAIB+bzwTRRF2ux1xcXED9t4HDIajR4/i6NGj0Gg0+MEPfoDbb789ZBubzYadO3diwYIFfRaioHML6uJ5Xr782NuxiImJQUJCAvUWIog0ozWcYjrSre4Wi6XPma/bt29HYWEhKisr5XJzfek3GFpaWrBr1y7k5ubiwoUL+OUvf4nNmzdjwoQJPbYrLS3Fxo0bYbFYetTI605a1YeoQ/r/9xUMiYmJMBqNFAwRpPt5oXDuPXG73X2eOLZarXj33Xcxffp0VFVVfbdgSE5Oxtq1a+Vux6FDh1BZWdkjGD777DOcOnUKS5YswVdffdVnMHAcR70GlfUXzPHx8TAYDBQMEUSj0VzXAkzSXKTebNy4ERMnTkRGRgaOHz8+4HP1GwzXnhMwGAw9imN6vV6UlpZiyZIlsNvtOHLkSJ/PRaGgvv6uSiQkJECr1VIwRBCNRgO/3x/2yUSfzweNRhNyDGtqarB7927s27cPx44dQ3l5+YDPGfbJx8rKSrS2tmLu3LnyY//617/gcDiwePFi7Nu3D+Xl5eE+HVFBf196g8Egr0RFIoN0JSncSt4ej6fXnvlLL72EwsJCjBo1Ch0dHRAEAR0dHb2uhyEJKxguXLiA1atXo7i4GGPGjAFwtXbjunXr8LOf/QyCIMBsNsPr9aK1tRWpqakhz0E9BvVJlyt7uzok3WdPk6Iii9vtDvvcnN/vB9DzGO7fvx/79u1DZ2cnli5dCrvdjubmZpw/f15eYas3AwZDW1sbnnzySRQWFuLxxx+XHy8rK4Pf78eJEydw7NgxeDweWK1WXLx4sddgIJGNgnv4cblcKC0tRUlJCRYvXiyvorVgwQJ8/fXX3z4YOjs7UVRUhLS0NPz85z9He3s7jEYjLl26hLKyMmzbtg133HGHvP2dd96Jqqoq3HnnnSHPRVck1CWtYN1Xj0AqDktDicjB8/x1LcoklUyULlfu3bsXgiBg0aJFiI2NlbfLzs5GbW1tv8/VbzA0NTVBFEUIgoDi4mL4/X7k5eXhe9/7HpYsWRKSOI8++miPBnRHwaAujuP6HSb4fD65+jOJDFLthXCL6phMJvmSNADMmzcPBQUFIauUb9myZcDvY7/BkJubi127dg3YKMnKlSv7/BsFg/r6m8TmcDiQnJxMwRBBpIlt4fYYDAZDj8ubfc2SDadug6LTrikc1MPzfL/BYLfb4fP5KBgiiHTMwqXX6yEIwtCaXSmKIgWDigb6wttsNnkuBYkMPM+HXVtTGkoIgjAoVdIUnV1JHzr1BIPBfpcFdDqdsNvtNIkqgkgTD/V6/YAFfLVaLaKioiAIwqBcclZ0KHE9t3eSwcUYg9FolCtFd/+QSXP629raaCJVhGGMITo6Gj6fr89tRFGExWIBMHhTDxQNhkAgQNfLVSLVXJCCoTuO4yAIAq5cuQKtVks9hgjCcRyioqJgs9n63S4xMRGiKA5aFXZF6zFc+0tFlCOKYr/jVWlNS6PRSKXdIojUA9DpdL1WcZJqacTExEAUxUGr16n4gjNEPVqtts/xp1QUxGq1UjHYCCNVV+9tWUDGGBISEqDRaBATEzNoyzMo2mMQRZHGrypijMFkMsl3OV6L4zh4vd6wJ+4Q5XUvHy+KIoxGI8xmM0wmE5KSkgbtdRQLBo1GA8ZYn0UtyY3HcRzMZjNsNlufx4AxBr/fD5/P12dASOeLKDyUde2CM3q9HomJiUhKSkJWVtaglk5UNBgA0AlIFfE8H9YiMhqNBiaTST4v1J0oioiPj0dmZiZiYmLoWCpMo9HAYDBAq9VCr9cjJiYGSUlJQ3eJOuB/parow6QOnuflL/xApLPh1woGg8jIyMD06dMHpUw5iUyKryvR2wkUogye5+VZluEUGO1tqCDdYUfnioY3RYNBumWTqEOaYWk0Gge8k6430jKDZrOZCroMc4oGg9FohEajGXD9RHLjSMEgrUNwvXQ6XVjrEpChTfFzDNHR0bDb7fSLoxKO4+SAvt6rCowxxMfHQ6/XD9r1chKZFI99s9lMJyBV1tet0QORbqaRll0nw5fiR1e6O8vlclGvQUV6vf66hnTSJKzo6Gi6M/ImoHgwREVFIT4+Hu3t7RQMKpGGEx6PJ+x9GGOIjY1FdHR0j7VFyPCkSn9w1KhRqKurC+uSGbkxpCsM4Q4nNBoN4uLi5PvyyfCmSjBYLBbExsbi8uXL9CFTUbjnGaRhRHx8POLi4hRoGVGbKsHAcRxuu+02NDU1favr6WRwhHtVguM4WCwWpKSkhHVLNRn6VDu1nJ6ejuzsbBw/frzfIqXkxpLKh/WFMQaz2YzU1FSkp6cr2DKiJlWvOX3/+99HfX09mpub6fKXSjiOg8Fg6LXWo3QewmKxICsri+5duIlwTOW5s1euXMGOHTvQ1NREVylUwvM8YmJiQhYm4XkeqampuOOOOzBq1CiVWkfUoHowAFeXwvviiy9QW1vbb9FLcuNoNBpERUXJU6n1ej3S09Mxbtw4udAouXlERDAQQiIL9d0JISEoGAghISgYCCEhKBgIISEoGL6lpqYmdHZ2qt2MQUXnoSOTGscl4oOhtrYWdrtd7WbIHA4HNm/ejFGjRmHTpk1qN2dQNTQ0oKGhIextr1y5coNbRICrP0Jff/21oq8ZscFw7tw5rFixAv/9738japrv9u3bcfjwYfzoRz8KmYDkdrvh8XjQ3t6OmpoaOJ1OiKKI+vp6XLx4UaUWhy8hIQHvvvsu/vSnP6G1tbXXbVpaWrBmzRrs2bMnIudNBAIBvPbaa8jPz4fT6VS7OYMiISEBH3/8MYqLi1FfX6/Mi7IIc/r0aVZcXMzS09PZ+vXrWTAYVLtJPQQCAcYYY8uWLWNr1qzp8bfXX3+d5efns1WrVrH58+ezgoIC9sYbb7Bly5ax6dOns/fff1+NJl8Xl8vFCgsL2ZgxY1hJSQlraGhgjDFWX1/P1q5dyzIyMtjKlSuZ2+1WuaWhHA4HW7RoEZsyZQrLzMxkbW1tajdp0IiiyFasWMFGjhzJnnvuOXbmzJkb+noRNUGhvLwcq1evRmNjI8xmM06ePIknnnhC8VLlXq8X+fn5WLZsWcjfui+cc62vvvoK33zzDbZu3Qqn04nc3FxMmTIFb775JtatW4d9+/bh8ccf77GPx+PBr3/964iZZarT6WC329Hc3Izf//73qKiowIMPPog9e/bgxIkT0Gq1OH/+PIqKilRbCoAxhjfeeAOJiYk9Hud5Hs8//zx8Ph+WL1/e43Pjcrmwfv165ObmorKyEg6HAxs2bMD+/fuxd+9ezJw5E6tWrQqZUFZeXo7y8vKQ28WVJhVR7ujowCuvvIJt27ahpKQEhYWFN+T1IioY5s+fD8YY3n77bRw7dgz33HMPnnjiCQSDQUVPwLD/XzL+ejidTtTW1mLNmjVISkpCTU0NMjMzUVRUBAC4ePEiMjMzQ/YzGo3429/+Nijt/q54ngdjDCUlJfj0009x33334cknn8T999+P6dOno6ysDAcOHMDkyZPxzDPPgOd51daX6G0xHLPZjKlTp+Lo0aMhw7zOzk68/vrrWLRoEd577z0sXrwY+fn5eOWVV7BhwwYsXLgQDz30EMaNG9djv4ULF2Lu3Lmqhra02nVZWRn279+PWbNm4Re/+AUWLlx4w14zooLBaDTisccew7x58/DJJ59g69atSEpKwoIFC9Ru2oCsViva29uRl5cHADh58iSmTZuGkSNHAgDq6upw7733huzHcVzEjNVFUURZWRlqa2uxc+dOzJw5U/4C5ufn44c//CGOHDmCsrIyfPDBB1i6dOmQmfhWVVWFjIwM/PGPfwRwNfznzJmDRx55BHV1dYiLi4Nerw/ZT6/X9/q40ioqKnDo0CG88847uO+++254wZyICgZJTEwMFi1ahAceeACfffYZWlpa5C9YpOB5vsdU8QsXLiApKQkpKSkAgFOnTsk9hIaGBrhcLkyePFmVtoarvr4eEyZMQFFRUa81GoxGI+bMmYO7774bn3/+ORobG3vtBUWiU6dOYerUqRg9ejQ6OjrQ1taGp59+GgBw/vx5aLXaQV0tejBdvnwZiYmJ2LZtGwwGgyKvGZHBIDGZTLj33nsj6vp6RUUF/vGPf6C6uhpVVVVoaWnBs88+i3PnzmH8+PHyeo42mw3z588HADQ3NyMxMTGipy4zxpCVlYWcnJwBt9XpdJg1a1ZEHZfuNBqNvOirpLa2FpMmTQJw9XjY7XbceuutAIDq6mrk5eVFTM/tWmlpaYp/dmh25XXyer3wer1yYZNgMCh3t7tXQ/L7/dDpdOA4DqIoQhRFKkZzgzkcDnz88cc4ceIEysvL8fTTT2PGjBmYOHEiCgoKUFJSgpkzZ+Kjjz7C+vXrcfDgQRgMBjzyyCOYNm0aiouL1X4LEYOCgQwbTqcTBw8ehNfrhclkQldXF7KyspCXl4fjx49j0qRJMJvNuHTpEi5fvoy77roLAHDixAmMHDkSaWlpKr+DyEHBQAgJMTROKRNCFEXBQAgJQcFACAlBwUAICUHBQAgJQcFACAlBwUAICUHBQAgJQcFACAlBwUAICfF/8Wt7i0JTF0MAAAAASUVORK5CYII=)
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,iVBORw0KGgoAAAANSUhEUgAAAPEAAACoCAYAAAAxSgg2AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABLxSURBVHhe7Z17bBXXncd/9vUDgw0YP8AGzMNAEwwGQojKEoXEDSE8d7dJFjVtoxapu9msGjVBWnX/yCZZoUhpmkotShVV0SpLSNVEsFEeZEkkwIAUEhBxbAzGGJv4BbHx+4HfZuf781ywMYQ7vr6eOb7fjzTy9dy55/7mnPM9vzNzz+83EdcshBhLf1+f9Pb2ikREii8qSnyREfY7t6a/t1sifFESYR1PxgcUMSGGM0TEGNE7Ozulv7/f3kMI8RrR0dESFxdn/3eTiNva2iTKmpJhI4R4j56eHt0mT55s77lJxC0tLTJhwgSJiYmx9xBCvER3d7fOlgeLmHc3CDEcipgQw6GICTEcipgQw6GICTEcipgQw6GIw4SampqB5Zlk3EERewiIrL6+XiorK+09IuXl5boIZ/AqOhxTW1urvxf6aW5ulqqqKvu/4Xz88cdaDhl/UMQeoqurS7755hvZs2ePihaifuutt6SiokL6+vrso0SKi4vlwIED10WL9TqnT5+Wffv26etbcerUqSGiJ+MHithDTJo0SbKystRjwtPCC0PI6enpul7Wz4oVK6Sjo0O+/fZbFS1et7e3y7Rp03QgqKurU2+N7WZwXGtr6/WpNV5jHwaNq1ev6mexNTU16fsYPPxlYeO6eu/he8nCfq0dAOumfT6fvYeMNZGRkVr/n3zyiZw4cUK2bdsms2bNUvFAUBAtlsWeO3dOX2dmZsrFixeltLRUVq5cKdXV1fL+++9LXl6efPHFF3L//fdrmfv375cHH3xQvvzyS/XK06dPl/j4eHnvvfekoaFBkpOTJTc3V78X71+4cEGWLl2qA8rrr7+u3/f111/LsmXLJDY21raWjDXoAxiAB7cBPbHHmDhxoooRwoSHXLRokQ6sEBWmzIWFhbrGHfvxt6ysTIULjzp//nxZsGCB7NixQ7Zv367ra0tKSoZMsf2DgR/8j/cLCgr02C1btsjGjRt1VgBRY2DHMc8++6w8//zzkpCQYH+SeAWK2IMgCGXNmjXy6KOPXp9GX7p0SafP2DDtXb58ue4vKipSUSYlJen/8Mg7d+6Ul19+WV83NjYOEfGtwPsYMHDtffjwYTly5Ih+BwYUDATZ2dnywgsvyN69e3XqTrwFRexRIGQIOCJiIFPHAw88IFu3bpXNmzfLjBkzdEoNb5mfn6/CguhxowtT6E2bNsmLL74od999t352MFOmTFHvinA2eHBMpQHKgyd/8skn5ZlnnpGnnnpKxQshP/HEE1re0aNHVdzEW1DEhuCP88bmF/bChQv1L35eSk1NVW88e/Zs+fDDD2X37t3qoQcfD+677z4V8DvvvCMfffSRihjXzPDsM2fOlDfffFN27dql18q49rpy5Yq8+uqr8sYbb0hGRgbDVD0I44k9CK5BMb3FDS5kcBgswsHAo+LGEzw2pr34nP9ONT6LDe2JDYs9IHKIGneeIVC8D6HjfXhceFl8Ht+H43D9i+6BKTn24Xh4coieuMOt4okpYkIMgkkBCBmHUMSEGA5FTIjhUMSEGA5FTIjhUMSEGA5FTIjhUMSEGA5FTIjhUMSGgiWXWD6Jtc8MSghvKGJDQZjhoUOHNGoJGUBI+BL02mksoL/dAv2xBqcSLrYgCgnpcpAcANFM/ogmLxNO7eME2ILgkkAY9QAIfBTRMTjeCxWCExwcg+smGNwCbZiRgKR4aWlp+hrT6g0bNnimU96OUNdJoKDfIhzTC4E+sAX9FumSAmm/kIgYsawIT/NCB0IIHkLqvGALOsng5HajzbvvvispKSkafohwxMcee8zzIg51nQQK+i3uIyCpgts41RCjmMYRSN2DAReNv379es8LmIQOithQkJ529erVsmrVKs1aScIXithQ4HkxNb05/Q4JPyhiQgyHIibEcChiQgyHIibEcChiQgyHIibEcChiQgyHIibEcChiQgxn3Ii4p7dfunr65Xo0xwjAZzu6+qSvP5hSBmzp7B547u9IwSevdvZJ/21sQbDKd999pw88u11SAHy9lhGEHeBGOfaOEaLlWPUbjD2wAW0UrC3dPdesLbj+4hV8L1nYrzVbBJbxOQkXw2ewEN+tpX/o5I2tPVJ4sUVKqtos26Nkcly0REY6s6en75qUXmqX/NIWaW7rkSnx0RLti7TOyz4gACD++uZuy5ZWLSvKqsf4uCjHtvRatpRUtsk3pc3S1tEriQnR1nlZttjvAzy1Hw8dR0QL1k7fvH662xpIiitbpcA6Hwhw2uQY8Tm0A2g5FW1SUNYsHVY5iQkx1nmNoBxLMEXlLXLm2zYV8tR4Z+VA9xikiypatX47u1FGtGNb0EbVdZ2Sf6FJapt6ZUKMT+JifRLp4tJVJxpCOCcehhcbG2vvGYVQRDwxb3BY1FiDDvrJ8Vr566Eq6wSvycJZ8fLLRzMkYZKzkLeWqz2ya1+ZXG7otBpU5Nc/zpT56ZMcdfwuq2Mdya+T/cdr1NssmTdZfvrwbImfGGUfERjN7T3y+7+VSKM1mODr//0ni2Rm8tBG/vz/PpLJCRPl71b/0JpPRUt/xI1GBXXNXVYZF6Sts1fLePEXd0uSJWSn1Fvl/M4qp90qB4Paf/x0kaQmDv2uO4F+gsHtNeuc2i0Bx8VEyvP/tFDSplnlBCge1OclS3x/2leqg0CCNTju2LZAkqc4swWf3ZtbLSfPNVrfLbLxvunys3UzJcFhG40m0F1iYmJAIg5JPPHly5dd9cT1LT3yh/+tsrzwjSfYo2Fjoix7AjXJqgF4nDqro/mBBx3wovaOAMAgUt/SrZ7UT8rUWImGLQGC1sB0fLAt6GCTJgy1Jbr7O/H1NkhH6xXp9iVLbHKW/c5AGfB8sMXPFGtQmzjBF6hmFJQD79dwczmW54pwUC9ajnV50dA6tBz1gAGWgzIwjW6yBjY/8MQow8k5oW2uNHVpeSB5Soy89PMMSZ3qToIAaAiiRIIH10TsdlIAdIw/7i21RtYmnVpPjPPJq/+c5ciLomEx/f3tm2ekw/KmPmuK9vjadGtzNkJDeP/1P+fkQnWbXrNNskTzh39bKrNTJ6o3DATYct6aBv/2L2dVQNGWLb+wZhYbfjhDy/ODKRgSAhw+fFiTITz++OPX26Cn95peXvznf5+1BqdrWsa//v08ybknRTt9oGAwweXFy28X3SjnH+bLQyuSVciBggHy6/NNsvOdYmsqaJVjDWqwZ+3yZB2cAgHT52MF9drWuPSJjY6Q3zy2QFYvmRbwOaGnX67vkB1/LtTBALW1YHa8vPDUDyTFoUcfLZxq6FYiNv6aODY6UrLmJljXxd2W942UX26cI1nWNDbaeh0ouGaFQOB5G6zr61V3TZVtObPUWzg5rQnWNHH5ginWtVa3VZZP/mXLPJ3eO7lugy2wA4JpbOuVNUuT5McYTKx9gzl48KAmycNDyLOzszW+2A8Gr4HBJ0Jar/aqWP7xgXRHAgYoB/cG0PlbrcuNnBUpsmUNBhNnU0+Ug2vy3t4+azp7TX5kDSYbrUEJ5xkouCeQas1qMAhgoF1vTYPXrZqus4tAQVtOiImSH2TE62XTnBmT5Feb50paUpzWu1u4fk3slfQ8sKW9HSlXRp6eRyvCro1gTgc16k9FM9JybrTKrW0Z1Gy3Pd+BQwaOC6Z97mRLoHR3o04GBpdQ1UsgjEZfGS2camhcp+dBBQTbHvg4ygi6HLuMYMq5UxkD5zuw3Y6Bz3//MYEwUM7AFgwDZQTXTn47gikDDJQRZCEeYdyImJBwhSImxHAoYkIMhyImxHAoYkIMhyImxHAoYkIMhyImxHAoYkIMhyImxHAoYoOpra2V0tJSXXtLwheK2FCwEL64uFiOHTsmlZWV9l4SjoxKZo+EhARPLCZHrimE5nnBllA/ULu8vFw9cGtrq2aFWLx4sf2Od/HSQ8Y7Ojr0gfRuA1v8bRhIvw1JUgAka/NCZQCcYKC2hxrEfTqJy3ZKbm6uDp6ILcUT75csWWK/411CXSdO8FJfgfOZMWOGeyL2SjwxQIYLDCjh4InPnj0rVVVVUl1dLfPmzZO1a9d64ry/Dy95YggHg5/bONUQRTyGjFWHRcpanG9ycrK9x7tQxMMZDRHzxpbhpKSkGCFgEjooYkIMhyImxHAoYkIMhyImxHAoYkIMhyImxHAoYkIMhyImxHAoYkIMhyImxHAoYkNB+BqCHxAKOmj5OwlDKGJDQeBDWVmZFBUVaTgoCV+CjmJqaGjwRFIA2IJAby8kBYAtiPPFs55DZUtFRYXG5yIcEW22atUq+52h+Js3HOokULzWVzCrwvOlA7ElJKGI8AL4jNuVAbwU6B3qAHiEr0HImE6npaXJwoUL7Xe8C5MCDAcagiiZFMAmnOKJ0Vb4jq+++ko93NatW+13vAvjiYfjVEOMJx5H5OXlyYEDB7QTmJCah4QOeuIQ4RWv4yXoiYfjVEP0xISMQyhiQgyHIibEcChiQgyHIibEcChiQgyHIibEcChiQgyHIibEcChiQgyHIibEcChiQ8E6cWT2QDz3oOXvJAyhiA2lrq5O44nPnDkjlZWV9l4SjoxKZo/4+HhPRA75szV4AX8Wi1BRU1Oj7VRYWKjRQTk5OfY73iXUdeIEr/QVaKitrc39zB5eSXPiz9bgBVv8WSxCaQuyepw/f16fT5yZmWnvHYq/ecOlTgLBa30FAwoze9iEUzwxZkBHjx6VxMREuffeez0RG3snGE88HKcaYjzxOOLkyZPqiTEVKy8vt/eScISeOEQws8dw6ImHQ09MCKGICTEdipgQw6GICTEcipgQw6GICTEcipgQw6GICTEcipgQw6GICTEcipgQw6GIDQVRTCdOnNBQRBLeUMSGgoXwp0+flnPnzukiehK+BB3FVF9f76nMHrDfC7aMRRaLzz//XPr7+2X9+vWeOOc74ZXMHui3iATyUmaPpKSkEUcxBS3i2tpaz4T/dXV1eSJbAxiLDnvw4EHNlrFu3TqK2AHotxBDbGysvcc9YAvCIlNTU90TMeOJb02oY2dxrsjsAWE89NBDOhvyOownHo5TDTGeeByB3GYQLhoTr0n4Qk8cIpjZYzj0xMOhJyaEUMSEmA5FTIjhUMSEGA5FTIjhUMSEGA5FTIjhUMSEGA5FTIjhUMSEGA5FbCgIu6ysrNQNr0n4QhEbSlFRkWb1OHv2rL4m4UvQARA1NTWeecA1FobDfi8Q6tjZ/fv369Plcc5I1bN582ZPBH58H16JJwZe6isI3Jk+ffqIAyBGJSmAVzoPAuR9Pp/9n7sg40ZkZOgmOrm5uZKSkqJTaUTB5OTkeF7Eoa4TJ3ipr0BHriUFIO7x6aefanoZhPehCR955BHPi5gED0MRxxHp6ek66ELEc+fOpYDDGHpiQgyCnpiQcQhFTIjhUMSEGM64E/GgS3xCwoKgRIw7o3v27JEPPvhALl68qD/muwXEW15eLs8995xUV1frb5JugN8fy8rKZN++ffLKK6/o7+huDCw4/8uXL8uuXbvktdde0wUFboF+gTpBP0GduGkLQBvl5eXJzp079ekLboE2Qrrht99+W+umsbFxRH1lxCJGwxQWFkpTU5N+Me5qu/kzBxrms88+09Sfbi4owAKCOXPmyKZNm/QHfNxNdEPESMl6/Phx2b59uzz99NNy5MgR3ecGWKWFOsHjZmbOnOlq+6AtUA+nTp3StnKzz6JvnDx5UusHT6PA7/4jscdxbeJRKXiIFzpFRUWFZGdny/Lly1XQuPU9lmC1UkFBgRw6dEjtWbNmjWs/j6FjoEGOHTumIywGNcxUkODdjU6LQa2urk6XxMKG1tZW12YnAHWADjpSbzNaQDhnzpzRp2a4vWILbXTlyhV5+OGH9SejkpIStc8pjnsXkn9nZGTIsmXLJC0tTUWNRvGvHBpLMHplZmbK0qVLtYOWlpbqOuLi4uIRVUYwwJa77rpLBzV01t27d8uGDRtce7wK2mnWrFk6na+qqpLFixe7NsChX2DaikuMbdu26QDnFrAF6yEQOIKHASJ4BH3XDTCwYeYI5xeMA/S9ZGG/VkHCtX/fCIUOig4C14/RA9fCqIyVK1eO+VQWtqBj4qkPycnJOlXDNB8zg7G2Bd8FIaNuUCe4Pkd94ml3I50mBQPacOrUqfoM40uXLsmKFStcsQPA42DWhg2zJ7QXtrFsHz/4TvQVrHhDX7nnnntce2oIbIGG8vPztb2ysrLu2EaoS9g9+GFwQQdAQMAoGBXj9vQEwBOjYtyKlvF7Hdy8wWuIGMJ2o5NgdoIoM4AoGTdEA2AHLjcwpQcYXNy+hwIwtXf7HgoEiSk1RIl6uZMtmGHevGKLyy4JMYhbidi9IYgQMipQxIQYDkVMiOFQxIQYzpAbW7h7iDvMXsmDRAgZCn7TxoY72X6GiBi/4Y31IglCSODg5zo42tv+xEQIMQ9eExNiOBQxIYZDERNiOBQxIYZDERNiOBQxIYZDERNiNCL/D9FDTihbZi+aAAAAAElFTkSuQmCC)
Maths-General