The ends of a meter stick are maintained at 100 - C and 0- C- One end of a rod maintained at 25- C- Where should its other end be touched on the meter stick so that there is no heat current in the rod in steady state-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Conduction Law

The ends of a...

Question

The ends of a meter stick are maintained at $100^{\circ} C$ and $0^{\circ} C$ . One end of a rod maintained at $25^{\circ} C$ . Where should its other end be touched on the meter stick so that there is no heat current in the rod in steady state?

25 cm from the hot end

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

40 cm from the cold end

No worries! We‘ve got your back. Try BYJU‘S free classes today!

25 cm from the cold end

No worries! We‘ve got your back. Try BYJU‘S free classes today!

60 cm from the cold end

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 25 cm from the hot end
Given,
$T_{C} = 0^{0} C$
$T_{B} = 25^{0} C$
$T_{A} = 100^{0} C$
No heat flow when the temperature at the point $B$ .
$Q_{A B} = Q_{B C}$

$K A \frac{100 - 25}{100 - x} = K A \frac{25 - 0}{x}$

$75 x = 2500 - 25 x$
$x = 25 c m$ from the hot end.
The correct option is A.

Suggest Corrections

Similar questions

Q. The ends of a metallic metre stick are maintained at temperatures

200^{\circ} C

and

0^{\circ} C

. If one end of a metallic rod of same material is maintained at

20^{\circ} C,

where should its other end be kept in contact with metre stick so that there is no heat current in the rod in its steady state conduction?

Q. In steady condition, the temperature at ends at the two ends of a metal rod of length 25 cm are 100 V and 0

^{0} C

then temperature at a point 8 cm from the hot end is:

Q. In steady state condition, the temperature of two ends of a metallic rod of length

25 c m

are

0^{\circ} C

and

100^{\circ} C

. The temperature at a point

8 c m

from the hot end is:

Q. The temperature of hot and cold ends of a

20

cm long rod in thermal steady state are at 100

^{o}

C and 20

^{o}

C respectively. The temperature at the centre of the rod is

One end of copper rod of uniform cross-section and of length $1.45 m$ is in contact with ice at $0^{\circ} C$ and the other end with water at $100^{\circ} C$ . The position of point along its length where a temperature of $200^{\circ} C$ should be maintained so that in steady state the mass of ice melting is equal to that of steam produced in the same interval of time is $x c m$ from hotter end of rod. Find $x$ [Assume that the whole system is insulated from surroundings].

Join BYJU'S Learning Program

The ends of a meter stick are maintained at 100∘C and 0∘C. One end of a rod maintained at 25∘C. Where should its other end be touched on the meter stick so that there is no heat current in the rod in steady state?

The correct option is A 25 cm from the hot endGiven,TC=00CTB=250CTA=1000CNo heat flow when the temperature at the point B.QAB=QBCKA100−25100−x=KA25−0x75x=2500−25xx=25cm from the hot end.The correct option is A.

The ends of a meter stick are maintained at $100^{\circ} C$ and $0^{\circ} C$ . One end of a rod maintained at $25^{\circ} C$ . Where should its other end be touched on the meter stick so that there is no heat current in the rod in steady state?