MCQ
Twelve conducting rods form the riders of a uniform cube of side $'l'.$ If in steady state, $B$ and $H$ ends of the rod are at $100^o C$ and $0^o C$. Find the temperature of the junction $'A'$ ....... $^oC$
- A$80$
- ✓$60$
- C$40$
- D$70$
✓
Answer
Correct option: B.
$60$
b
For the cube, net resistance $=\frac{5 R}{6}$
For the cube, net resistance $=\frac{5 R}{6}$
(Where $R=$ thermal resistance of each side)
$H=\frac{100-0}{5 R / 6}$
For side $A$ $\frac{H}{3}=\frac{100-\theta_{A}}{R} \Rightarrow \theta_{A}=60^{\circ} C$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The total energy of a satellite is E. What is its P.E.?
A particle of mass $M$ originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation
→$F=F_{0}\left(1-\left(\frac{t-T}{T}\right)^{2}\right)$
Where $F_{0}$ and $T$ are constants. The force acts only for the time internal $2 T$. The velocity $v$ of the particle after time $2 {T}$ is -
In one average-life:
Two particles $A$ and $B$ are projected simultaneously from a fixed point of the ground. Particle $A$ is projected on a smooth horizontal surface with speed $v$, while particle $B$ is projected in air with speed $\frac{2 v}{\sqrt{3}}$. If particle $B$ hits the particle $A$, the angle of projection of $B$ with the vertical is
→$5\,g$ and radius $1\,cm$ is fixed to a thin stick $AB$ of negligible mass as shown in the figure. The system is initially at rest. The constant torque, that will make the system rotate about $AB$ at $25$ rotations per second is $5\,s$ is close to
→A faulty thermometer reads $5^{\circ} C$ in melting ice and $95^{\circ} C$ in steam. The correct temperature on absolute scale will be. $.........K$ when the faulty thermometer reads $41^{\circ} C$.
→The dimension of the ratio of magnetic flux and the resistance is equal to that of :
A bullet moving with a velocity of $200 \,cm/s$ penetrates a wooden block and comes to rest after traversing $4 \,cm$ inside it. What velocity is needed for travelling distance of $9 \,cm$ in same block..........$cm/s$
→One mole of a monatomic ideal gas undergoes a cyclic process as shown in the figure (where $V$ is the volume and $T$ is the temperature). Which of the statements below is (are) true?
→(image)
$(A)$ Process $I$ is an isochoric process $(B)$ In process $II$, gas absorbs heat
$(C)$ In process $IV$, gas releases heat $(D)$ Processes $I$ and $III$ are $not$ isobaric
The $S.I.$ unit of gravitational potential is
→