Q. Two substances $A$ and $B$ of equal mass $m$ are heated at uniform rate of $6\ cal\ s^{- 1}$ under similar conditions. A graph between temperature and time is shown in figure. Ratio of heat absorbed $H_{A}/H_{B}$ by them for complete fusion is

A) $9/4$
B) $4/9$
C) $8/5$
D) $5/8$
Explanation

(c) From given curve,
Melting point for $A = 60℃$
And melting point for $B = 20℃$
Time taken by $A$ for fusion $= (6 - 2) = 4$ minute
Time taken by $B$ for fusion $= (6.5 - 4) = 2.5$ minute
Then $\frac{H_{A}}{H_{B}} = \frac{6 \times 4 \times 60}{6 \times 2.5 \times 60} = \frac{8}{5}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.