MCQ
Two different liquids of same mass are kept in two identical vessels, which are placed in a freezer that extracts heat from them at the same rate causing each liquid to transform into a solid. The schematic figure below shows the temperature $T$ versus time $t$ plot for the two materials. We denote the specific heat in the liquid states to be $C_{L 1}$ and $C_{L 2}$ for materials 1 and 2, respectively and latent heats of fusion $U_1$ and $U_2$, respectively. Choose the correct option.
  • A
    $C_{L 1} > C_{L 2}$ and $U_1 < U_2$
  • B
    $C_{L 1} > C_{L 2}$ and $U_1 > U_2$
  • $C_{L 1} < C_{L 2}$ and $U_1 > U_2$
  • D
    $C_{L 1} < C_{L 2}$ and $U_1 < U_2$

Answer

Correct option: C.
$C_{L 1} < C_{L 2}$ and $U_1 > U_2$
c
(c)

Wehave, heat extracted from a liquid during solidification,

$U=Q t=m L \Rightarrow L \propto U$

Also, heat extracted from liquid during cooling,

$H=Q t=m c \Delta T$

Temperature of liquid,

$T=\frac{Q}{m c} \cdot t+T_i$

Slope of $T$ versus $t$ line is inversely proportional to specific heat $c$.

Now, from given graph, we get

we get, $U_1 > U_2$ and $C_{L 1} < C_{L 2}$

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

There is a rough black spot on a polished metallic plate. It is heated upto $1400 K$ approximately and then at once taken in a dark room. Which of the following statements is true
If a cavity is made inside a solid sphere, Then the gravitational field inside the cavity is
A ball hits the floor and rebounds after inelastic collision. In this case
The displacement time graph of a particle executing $S.H.M.$ is as shown in the figureThe corresponding force-time graph of the particle is
A shell of mass $200\, gm$ is ejected from a gun of  mass $4\, kg$ by an explosion that generates $1.05\, kJ$ of energy. The initial velocity of the shell is .............. $\mathrm{ms}^{-1}$
A body of weight 72 N moves from the surface of earth at a height half of the radius of earth, then gravitational force exerted on it will be:
What is the minimum energy required to launch a satellite of mass $m$ from the surface of a planet of mass $M$ and radius $R$ in a circular orbit at an altitude of $2R$?
If force $({F})$, length $({L})$ and time $({T})$ are taken as the fundamental quantities. Then what will be the dimension of density
A thin circular disc is in the $xy$ plane as shown in the figure. The ratio of its moment of inertia about $z$  and $z'$  axes will be
A particle moves along a straight line such that its displacement at any time $t$ is given by $s = (t^3 -6t^2 + 3t + 4)\, m$. ...... $m/s$ is the velocity of the particle when its acceleration is zero ................. $\mathrm{m/s}$