Question
Dimensional formula for thermal conductivity is (here $K$ denotes the temperature)

Answer

$\because \frac{ d Q}{ dt }= k A \frac{ d T }{ d x }$

$k =\frac{\left(\frac{ d Q}{ dt }\right)}{ A \left(\frac{ d T }{ d x }\right)}$

$[ k ]=\frac{\left[ ML ^{2} T ^{-3}\right]}{\left[ L ^{2}\right]\left[ KL ^{-1}\right]}=\left[ MLT ^{-3} K ^{-1}\right]$

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

Assertion : A larger dry cell has higher $emf$

Reason : The $emf$ of a dry cell is proportional to its size

Four smooth steel balls of equal mass at rest are free to move along a straight line without friction. The first ball is given a velocity of $0.4 \,m/s$. It collides head on with the second elastically, the second one similarly with the third and so on. The velocity of the last ball is .......... $m/s$
Benzyl alcohol is obtained from benzaldehyde by
The current in the following circuit is ........... $A$
A body is thrown vertically upwards with velocity $u$. The distance travelled by it in the fifth and the sixth seconds are equal. The velocity $u$ is given by.........$m/s$ ($g = 9.8\, m/s^{2}$)
A light balloon filled with helium of density $\rho_{He}$ is tied to a light string of length $L.$ The string is tied to the ground forming an "inverted" simple pendulum (figure). If the balloon is displaced slightly from equilibrium as in figure and released, the period of the motion is. Take the density of air to be $\rho_{air}$. Assume the air applies a buoyant force on the balloon but does not otherwise affect its motion.)
A pipe of length $1.5\ m$ closed at one end is filled with gas and resonates in its fundamental mode with a tuning fork. Another open organ pipe of same dimensions filled with air resonates in its fundamental mode with same tuning fork. If experiment is performed at $30\,^oC$ (speed of sound in air is $360\ m/sec$ at $30\,^oC$), the speed of sound at $0\,^oC$ in gas is ...... $m/sec$ (Neglect end correction)
Interference fringes were produced in Young's double slit experiment using light of wavelength $5000\,\mathop A\limits^o $. When a film of material $2.5\times10^{-3}\, cm$ thick was placed over one of the slits, the fringe pattern shifted by a distance equal to $20$ fringe widths. The refractive index of the material of the film is
A glass concave lens is placed in a liquid in which it behaves like a convergent lens. If the refractive indices of glass and liquid with respect to air are $^a{\mu _g}$ and $^a{\mu _l}$ respectively, then
Two points on a travelling wave having frequency $500\, Hz$ and velocity $300\, m/s$  are $60^o$ out of phase, then the minimum distance between the two points is ..... $m$