Physics-
General
Easy
Question
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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)
The correct answer is: ![60 ℃](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACUAAAAOCAYAAACo9dX2AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAANvpXuIwAAAZ9JREFUeNrNlUFERFEUhp8xxkiiRZL2Y7RIPGMWSWKMZMwikoy0iBZp0TYt0z4t4klatBsjSdolIy2GJK0SySxazKbFyHieqP/mj+O605yJ6Odb3HPvO+fce869z/P+VpPgDkSgAhK/cZIBZdAEITilY6k+sAdqJKDNVgo8gVGQBNdgWcxnwQGoM5ZJfg3EpJMVJpESwUvgygp2AYpiXKDN1hbYEOOAQU2CR2AHpDlnEvHBNr/70gi4UZzkHNh12E2ABcu2Cc5ZsixPbRicgSVN2QKHU5dMX+Qd9inOSfUyqYgbzjBGWdtLD2BIse61TbMaW0PxfY3JqRSyl45BS+yuZK17/8FH1CFGDy+QWh/gFsyAOBtvHDyCVWVSYYcY0+Ckm6SabEJbY+BFjBttypdUlK/YTT95bMiYoiwV7thW3tHotnxWQy1TonmHPc3m/NYs2HesO1Te3jqfB5VMSap8cePixb0HOWvtJVjnugTfo6oyToFlXhRtMMgL5azWAE/hjQ1tAk04HPfz9xDypgZ8k7TK8Q/QYpxn+vC9/6xPJyBZLuHDswwAAABbdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1uPjYwPC9tbj48bWk+JiN4MjEwMzs8L21pPjwvbWF0aD6MLWHuAAAAAElFTkSuQmCC)
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 equals fraction numerator K cross times 0 cross times 2 plus 3 K cross times 100 cross times 1 over denominator K cross times 2 plus 3 K cross times 1 end fraction](data:image/png;base64,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)
![equals fraction numerator 300 K over denominator 5 K end fraction equals 60 ℃](data:image/png;base64,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)
Related Questions to study
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
Maths-
Maths-General
Maths-
If tan
then the
is
If tan
then the
is
Maths-General
Maths-
Maths-General
Maths-
Maths-General