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Physics-

General

Easy

Question

Five rods of same dimensions are arranged as shown in figure. They have thermal conductivities $K subscript 1 end subscript comma blank K subscript 2 end subscript comma blank K subscript 3 end subscript comma blank K subscript 4 end subscript a n d K subscript 5 end subscript.$ When points $A blank a n d blank B$ are maintained at different temperature, no heat would flow through central rod, if

$K_{1} K_{4} = K_{2} K_{3}$
$K_{1} = K_{4} a n d K_{2} = K_{3}$
$\frac{K_{1}}{K_{4}} = \frac{K_{2}}{K_{3}}$
$K_{1} K_{2} = K_{3} K_{4} .$

The correct answer is: $K subscript 1 end subscript K subscript 4 end subscript equals K subscript 2 end subscript K subscript 3 end subscript$

The equivalent electrical circuit, figure in these cases is of Wheatstone bridge. No current would flow through central rod $C D$ when the bridge is balanced. The condition for balanced Wheatstone bridge is $fraction numerator P over denominator Q end fraction equals fraction numerator R over denominator S end fraction$ (in terms of resistances)
$fraction numerator 1 divided by K subscript 1 end subscript over denominator 1. K subscript 2 end subscript end fraction equals fraction numerator 1 divided by K subscript 3 end subscript over denominator 1 divided by K subscript 4 end subscript end fraction$ or $fraction numerator K subscript 2 end subscript over denominator K subscript 1 end subscript end fraction equals fraction numerator K subscript 4 end subscript over denominator K subscript 3 end subscript end fraction$
Or $K subscript 1 end subscript K subscript 4 end subscript equals K subscript 2 end subscript K subscript 3 end subscript$

Related Questions to study

If two metallic plates of equal thicknesses and thermal conductivities $K subscript 1 end subscript$ and $K subscript 2 end subscript$ are put together face to face and a common plate is constructed, then the equivalent thermal conductivity of this plate will be

If two metallic plates of equal thicknesses and thermal conductivities $K subscript 1 end subscript$ and $K subscript 2 end subscript$ are put together face to face and a common plate is constructed, then the equivalent thermal conductivity of this plate will be

physics-General

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physics-General

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parallel

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In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like neither tea nor coffee?

In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like neither tea nor coffee?

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In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like either tea or coffee?

In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like either tea or coffee?

Let $A equals left curly bracket A subscript 1 end subscript comma A subscript 2 end subscript comma A subscript 3 end subscript comma A subscript 4 end subscript comma A subscript 5 end subscript comma A subscript 6 end subscript right curly bracket$ be the set of six unit circles with centres $C subscript 1 end subscript comma C subscript 2 end subscript comma C subscript 3 end subscript horizontal ellipsis C subscript 6 end subscript$ arranged as shown in the diagram. The relation $R$ on A is defined by $left parenthesis A subscript i end subscript comma A subscript j end subscript right parenthesis element of R less than rightwards double arrow C subscript i end subscript C subscript j end subscript less or equal than 2 square root of 2$ then

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In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like only coffee?

parallel

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