MCQ
Consider a compound slab consisting of two different materials having equal thickness and thermal conductivities $  K$ and $2K$ respectively. The equivalent thermal conductivity of the slab is
  • A
    $\sqrt {2K} $
  • B
    $3K$
  • $\frac{4}{3}K$
  • D
    $\frac{2}{3}K$

Answer

Correct option: C.
$\frac{4}{3}K$
c
(c) $K = \frac{{2{K_1}{K_2}}}{{{K_1} + {K_2}}} = \frac{{2.K.2K}}{{K + 2K}} = \frac{4}{3}K$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A boat is moving with velocity of $3\hat i + 4\hat j$ in river and water is moving with a velocity of $ - 3\hat i - 4\hat j$ with respect to ground. Relative velocity of boat with respect to water is :
The position of a projectile launched from the origin at $t=0$ is given by $\vec{r}=(40 \hat{i}+50 \hat{j}) m$ at $t=$ $2 s$. If the projectile was launched at an angle $\theta$ from the horizontal, then $\theta$ is (take $g =10\,ms ^{-2}$ )
When a ceiling fan is switched on, it makes $10$ rotations in first $3\,seconds,$ How many rotations will it make in the next $3\,seconds.$ (Assume uniform angular acceleration)
If $L$ and $R$ are respectively the inductance and resistance, then the dimensions of $\frac{R}{L}$ will be
A ball projected from ground vertically upward is at same height at time $t_1$ and $t_2$. The speed of projection of ball is [Neglect the effect of air resistance]
The quantities which have the same dimensions as those of solid angle are:
The velocity of train increases uniformly from $20\; km / h$ to $60\; km / h$ in $4\; hours$. The distance travelled by the train during this period is
A particle moves in a plane with constant acceleration in a direction different from the initial velocity. The path of the particle will be
A small block is shot into each of the four tracks as shown below. Each of the tracks rises to the same height. The speed with which the block enters the track is the same in all cases. At the highest point of the track, the normal reaction is maximum in
The value of root mean square velocity at normal temperature and pressure will be maximum for which of following gases?