The amount of heat energy Q, used to heat up a substance depends on its mass m, its specific heat capacity (s) and the change

Q: The amount of heat energy $Q$, used to heat up a substance depends on its mass $m$, its specific heat capacity $(s)$ and the change in temperature $\Delta T$ of the substance. Using dimensional method, find the expression for $s$ is (Given that $\left.[s]=\left[ L ^2 T ^{-2} K ^{-1}\right]\right)$ is

b (b) $Q=m^a s^b \theta^c$ $\left[ ML ^2 T ^{-2}\right]=\left[ M ^2\right]\left[ L ^{2 b} T ^{-2 b} K ^{-b}\right]\left[ K ^{ C }\right]$ $\Rightarrow a=1$, $2 b=2 \Rightarrow b=1$ $-b+c=0$ $\Rightarrow b=c \Rightarrow c=1$ $Q=m s \Delta T$ $\Rightarrow s=\frac{Q}{m \Delta T}$

SECTION - A [PHYSICS MCQ]

GSEB - English Medium

The amount of heat energy $Q$, used to heat up a substance depends on its mass $m$, its specific heat capacity $(s)$ and the change in temperature $\Delta T$ of the substance. Using dimensional method, find the expression for $s$ is (Given that $\left.[s]=\left[ L ^2 T ^{-2} K ^{-1}\right]\right)$ is

A$Q m \Delta T$
B$\frac{Q}{m \Delta T}$
C$\frac{Q m}{\Delta T}$
D$\frac{m}{Q \Delta T}$

Medium

STD 11 Science
JEE
STD 11 - 1. units,dimensions and measurement
Physics

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Download App

Download our appand get started for free

Similar Questions

Download our app
and get started for free