AP EAMCET · PHYSICS · Thermal Properties of Matter

In a steady state, the temperature at the end $A$ and end $B$ of a $20 cm$ long rod $A B$ are $100 ° C$ and $0 ° C$ . The temperature of a point, $9 cm$ from $A$ is

A $55^{\circ} C$
B $45^{\circ} C$
C $65^{\circ} C$
D $50^{\circ} C$

Verified Solution

Answer & Solution

Correct Answer

(A) $55^{\circ} C$

Step-by-step Solution

Detailed explanation

At steady state, the temperature at different parts of the solid remains constant and is independent of time. Therefore, the ratio of the difference in temperature to the distance between two points in a heated body under a steady state is called the temperature gradient will be…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Explore more questions on app

From AP EAMCET

Explore more questions on app

In a steady state, the temperature at the end A and end B of a 20 cm long rod AB are 100°C and 0°C. The temperature of a point, 9 cm from A is

Step-by-step Solution

In a steady state, the temperature at the end $A$ and end $B$ of a $20 cm$ long rod $A B$ are $100 ° C$ and $0 ° C$ . The temperature of a point, $9 cm$ from $A$ is