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Physics-

General

Easy

Question

A ring consisting of two parts ADB and ACB of same conductivity k carries an amount of heat H. The ADB part is now replaced with another metal keeping the temperatures T₁ and T₂ constant. The heat carried increases to 2H. What should be the conductivity of the new ADB part? Given $fraction numerator A C B over denominator A D B end fraction$ = 3:

$\frac{7}{3}$ k
2 k
$\frac{5}{2}$ k
3 k

The correct answer is: $fraction numerator 7 over denominator 3 end fraction$ k

Related Questions to study

Two sheets of thickness d and 2d and same area are touching each other on their face. Temperature T_A , T_B , T_C shown are in geometric progression with common ratio r = 2. Then ratio of thermal conductivity of thinner and thicker sheet are

Two sheets of thickness d and 2d and same area are touching each other on their face. Temperature T_A , T_B , T_C shown are in geometric progression with common ratio r = 2. Then ratio of thermal conductivity of thinner and thicker sheet are

physics-General

Heat is conducted across a composite block of two slabs of thickness d and 2d. Their thermal conductivities are 2k and k respectively. All the heat entering the face AB leaves from the face CD. The temperature in °C of the junction EF of the two slabs is :

Heat is conducted across a composite block of two slabs of thickness d and 2d. Their thermal conductivities are 2k and k respectively. All the heat entering the face AB leaves from the face CD. The temperature in °C of the junction EF of the two slabs is :

physics-General

One end of a 2.35m long and 2.0cm radius aluminium rod $open parentheses K equals 235 W times m to the power of negative 1 end exponent K to the power of negative 1 end exponent close parentheses$ is held at 20⁰C. The other end of the rod is in contact with a block of ice at its melting point. The rate in $k g times s to the power of negative 1 end exponent$ at which ice melts is [Take latent heat of fusion for ice as $open fraction numerator 10 over denominator 3 end fraction cross times 10 to the power of 5 end exponent J times k g to the power of negative 1 end exponent close square brackets$

One end of a 2.35m long and 2.0cm radius aluminium rod $open parentheses K equals 235 W times m to the power of negative 1 end exponent K to the power of negative 1 end exponent close parentheses$ is held at 20⁰C. The other end of the rod is in contact with a block of ice at its melting point. The rate in $k g times s to the power of negative 1 end exponent$ at which ice melts is [Take latent heat of fusion for ice as $open fraction numerator 10 over denominator 3 end fraction cross times 10 to the power of 5 end exponent J times k g to the power of negative 1 end exponent close square brackets$

physics-General

parallel

The graph shown in the figure represent change in the temperature of 5 kg of a substance as it absorbs heat at a constant rate of 42 kJ min^–1 The latent heat of vapourazation of the substance is :

The graph shown in the figure represent change in the temperature of 5 kg of a substance as it absorbs heat at a constant rate of 42 kJ min^–1 The latent heat of vapourazation of the substance is :

physics-General

Consider the circles, $S subscript 1 end subscript colon x to the power of 2 end exponent plus y to the power of 2 end exponent plus 2 x minus 4 equals 0$ and $S subscript 2 end subscript colon x to the power of 2 end exponent plus y to the power of 2 end exponent minus y plus 1 equals 0$
Statement‐I Tangents from the point P(O, 5) on $S subscript 1 end subscript$ and $S subscript 2 end subscript$ are equal
Statement‐II Point P(O, 5) lies on the radical axis of the two circles.

Consider the circles, $S subscript 1 end subscript colon x to the power of 2 end exponent plus y to the power of 2 end exponent plus 2 x minus 4 equals 0$ and $S subscript 2 end subscript colon x to the power of 2 end exponent plus y to the power of 2 end exponent minus y plus 1 equals 0$
Statement‐I Tangents from the point P(O, 5) on $S subscript 1 end subscript$ and $S subscript 2 end subscript$ are equal
Statement‐II Point P(O, 5) lies on the radical axis of the two circles.

Statement‐I Angle between the tangents drawn from the point P(13,6) to the circle $S colon x to the power of 2 end exponent plus y to the power of 2 end exponent minus 6 x plus 8 y minus 75 equals 0$ is 90.
Statement‐II Point $P$ lies on the director circle of S.

Statement‐I Angle between the tangents drawn from the point P(13,6) to the circle $S colon x to the power of 2 end exponent plus y to the power of 2 end exponent minus 6 x plus 8 y minus 75 equals 0$ is 90.
Statement‐II Point $P$ lies on the director circle of S.

parallel

The common chord of two intersecting circles $C subscript 1 end subscript$ and $C subscript 2 end subscript$ can be seen from their centres at the angles of 90°& 60° respectively If the distance between their centres is equal to $square root of 3 plus 1$ then the radii of $C subscript 1 end subscript$ and $C subscript 2 end subscript$ are‐

The common chord of two intersecting circles $C subscript 1 end subscript$ and $C subscript 2 end subscript$ can be seen from their centres at the angles of 90°& 60° respectively If the distance between their centres is equal to $square root of 3 plus 1$ then the radii of $C subscript 1 end subscript$ and $C subscript 2 end subscript$ are‐

If the two circles, $x to the power of 2 end exponent plus y to the power of 2 end exponent plus 2 g subscript 1 end subscript x plus 2 f subscript 1 end subscript y equals 0$ and $x to the power of 2 end exponent plus y to the power of 2 end exponent plus 2 g subscript 2 end subscript x plus 2 f subscript 2 end subscript y equals 0$ touches each other, then‐

If the two circles, $x to the power of 2 end exponent plus y to the power of 2 end exponent plus 2 g subscript 1 end subscript x plus 2 f subscript 1 end subscript y equals 0$ and $x to the power of 2 end exponent plus y to the power of 2 end exponent plus 2 g subscript 2 end subscript x plus 2 f subscript 2 end subscript y equals 0$ touches each other, then‐

Pair of tangents are drawn from every point on the line 3x+4y=12 on the circle $x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4$ Their variable chord of contact always passes through a fixed point whose co‐ordinates are ‐

Pair of tangents are drawn from every point on the line 3x+4y=12 on the circle $x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4$ Their variable chord of contact always passes through a fixed point whose co‐ordinates are ‐

parallel

The locus of the centres of the circles which cut the circles $x to the power of 2 end exponent plus y to the power of 2 end exponent plus 4 x minus 6 y plus 9 equals 0$ and $x to the power of 2 end exponent plus y to the power of 2 end exponent minus 5 x plus 4 y minus 2 equals 0$ orthogonally is ‐

The locus of the centres of the circles which cut the circles $x to the power of 2 end exponent plus y to the power of 2 end exponent plus 4 x minus 6 y plus 9 equals 0$ and $x to the power of 2 end exponent plus y to the power of 2 end exponent minus 5 x plus 4 y minus 2 equals 0$ orthogonally is ‐

The centre of the smallest circle touching the circles $x squared plus y squared minus 2 y minus 3 equals 0$ and $x squared plus y squared minus 8 x minus 18 y plus 93 equals 0$ is

The centre of the smallest circle touching the circles $x squared plus y squared minus 2 y minus 3 equals 0$ and $x squared plus y squared minus 8 x minus 18 y plus 93 equals 0$ is

Statement -I : If – 2h = a + b, then one line of the pair of lines $a x to the power of 2 end exponent plus 2 h x y plus b y to the power of 2 end exponent equals 0$ bisects the angle between co-ordinate axes in positive quadrant.
Statement -II : If ax + y(2h + a) = 0 is a factor of $a x to the power of 2 end exponent plus 2 h x y plus b y to the power of 2 end exponent equals 0$ then b + 2h + a = 0.

Statement -I : If – 2h = a + b, then one line of the pair of lines $a x to the power of 2 end exponent plus 2 h x y plus b y to the power of 2 end exponent equals 0$ bisects the angle between co-ordinate axes in positive quadrant.
Statement -II : If ax + y(2h + a) = 0 is a factor of $a x to the power of 2 end exponent plus 2 h x y plus b y to the power of 2 end exponent equals 0$ then b + 2h + a = 0.

parallel

P is point on either of the two lines $y minus square root of 3 vertical line x vertical line equals 2$ at a distance of 5 units from their point of intersection. The co-ordinates of the foot of the perpendicular from P on the bisector of the angle between them are :-

P is point on either of the two lines $y minus square root of 3 vertical line x vertical line equals 2$ at a distance of 5 units from their point of intersection. The co-ordinates of the foot of the perpendicular from P on the bisector of the angle between them are :-

$alpha comma blank beta$ are the roots of the equation $x squared minus 3 x plus A equals 0$ and $gamma comma delta$ are the roots of the equation $x squared minus 12 x plus B equals 0. I f alpha comma beta comma gamma comma delta$ form an increasing GP, then $left parenthesis A comma blank B right parenthesis$ is equal to

$alpha comma blank beta$ are the roots of the equation $x squared minus 3 x plus A equals 0$ and $gamma comma delta$ are the roots of the equation $x squared minus 12 x plus B equals 0. I f alpha comma beta comma gamma comma delta$ form an increasing GP, then $left parenthesis A comma blank B right parenthesis$ is equal to

The sum of the series $1 times n plus 1 plus 2 times open parentheses n minus 1 close parentheses plus 3 times open parentheses n minus 2 close parentheses horizontal ellipsis plus n times 1$ is

The sum of the series $1 times n plus 1 plus 2 times open parentheses n minus 1 close parentheses plus 3 times open parentheses n minus 2 close parentheses horizontal ellipsis plus n times 1$ is

parallel

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