WBJEE · Physics · Thermal Properties of Matter
Same quantity of ice is filled in each of the two metal containers \(P\) and \(Q\) having the same size, shape and wall thickness but made of different materials. The containers are kept in identical surroundings. The ice in \(P\) melts completely in time \(t_{1}\) whereas in \(Q\) takes a time \(t_{2}\). The ratio of thermal conductivities of the materials of \(P\) and \(Q\) is
- A \(t_{2}: t_{1}\)
- B \(t_{1}: t_{2}\)
- C \(t_{1}^{2}: t_{2}^{2}\)
- D \(t_{2}^{2}: t_{1}^{2}\)
Answer & Solution
Correct Answer
(A) \(t_{2}: t_{1}\)
Step-by-step Solution
Detailed explanation
We know that Relation between temperature gradient (TG) and thermal conductivity \((K)\) So, \[ \frac{d \theta}{d t}=-K A \frac{d \theta}{d x}=-K A \times(\mathrm{TG}) \] Le. \(\mathrm{TG} \propto \frac{1}{K}\left(\frac{d \theta}{d t}=\right.\) constant \()\) or…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A particle of mass \(m\) is attached to three identical massless springs of spring constant ' \(k\) ' as shown in the figure. The time period of vertical oscillation of the particle is
WBJEE 2010 Medium - Heat is produced at a rate given by \(H\) in a resistor when it is connected across a supply of voltage \(V\). If now the resistance of the resistor is doubled and the supply voltage is made \(V / 3\), then the rate of production of heat in the resistor will beWBJEE 2012 Easy
- A wire carrying a steady current \(I\) is kept in the \(x\)-y plane along the curve \(y=A \sin \left(\frac{2 \pi}{\lambda} x\right)\). A magnetic field \(B\) exists in the \(z\)-direction. The magnitude of the magnetic force in the portion of the wire between \(x=0\) and \(x=\lambda\) isWBJEE 2023 Medium
- The magnetic flux through a loop of resistance \(10 \Omega\) is given by \(\phi=5 t^2-4 t+1\) Weber. How much current is induced in the loop after \(0.2 \mathrm{sec}\) ?WBJEE 2010 Easy
- Air inside a closed container is saturated with water vapour. The air pressure is \(\mathrm{p}\) and the saturated vapour pressure of water is \(\bar{p}\). If the mixture is compressed to one half of its volume by maintaining temperature constant, the pressure becomesWBJEE 2011 Medium
- The minimum force required to start pushing a body up a rough (having co-efficient of friction \(\mu\) ) inclined plane is \(\vec{F}_1\) while the minimum force needed to prevent it from sliding is \(\vec{F}_2\). If the inclined plane makes an angle \(\theta\) with the horizontal such that \(\tan \theta=2 \mu\), then the ratio \(F_1 / F_2\) isWBJEE 2025 Medium
More PYQs from WBJEE
- Solubility products \(\left(\mathrm{K}_{\mathrm{sp}}\right)\) of the salts of types \(\mathrm{MX}, \mathrm{MX}_{2}\) and \(\mathrm{M}_{3} \mathrm{X}\) at temperature \(\mathrm{T}\) are \(4.0 \times 10^{-8}, 3.2 \times 10^{-14}\) and \(2.7 \times\) \(10^{-15}\) respectively. Solubilities (in \(\mathrm{mol} \mathrm{dm}^{-3}\) ) of the salts at temperature \(\mathrm{T}\) are in the orderWBJEE 2021 Medium
- Electrons are emitted with kinetic energy \(T\) from a metal plate by an irradiation of light of intensity \(J\) and frequency v. Then, which of the following will be true?WBJEE 2019 Easy
- The value of \(\sum_{n=1}^{13}\left(i^{n}+i^{n+1}\right), i=\sqrt{-1}\) isWBJEE 2016 Easy
- The greatest and least values of \(f(x)=\tan ^{-1} x-\frac{1}{2} \ln x\) on \(\left[\frac{1}{\sqrt{3}}, \sqrt{3}\right]\) areWBJEE 2021 Medium
- Three capacitors \(3 \mu \mathrm{F}, 6 \mu \mathrm{F}\) and \(6 \mu \mathrm{F}\) are connected in aeries to a source of \(120 \mathrm{V}\). The potential difference, in volt, across the \(3 \mu \mathrm{F}\) capacitor will beWBJEE 2014 Easy
- A train moves from rest with acceleration and in time \(t_{1}\) covers a distance \(x\). It then decelerates to rest at constant retardation \(\beta\) for distance \(y\) in time \(t_{2}\). Then,WBJEE 2016 Medium