NEET · Physics · STD 11 - 10.2 transmission of heat

A body cools from a temperature \(3T\) to \(2T\) in \(10\) minutes. The room temperature is \(T.\) Assume that Newton's law of cooling is applicable. The temperature of the body at the end of next \(10\) minutes will be

A \(\frac{4}{3}T\)
B \(T\)
C \(\;\frac{7}{4}\) \(T\)
D \(\;\frac{3}{2}T\)

Verified Solution

Answer & Solution

Correct Answer

(D) \(\;\frac{3}{2}T\)

Step-by-step Solution

Detailed explanation

According to \(Newton's\) law of cooling, \(\frac{{dT}}{{dt}} = K\left( {T - {T_s}} \right)\)

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 NEET

Match List \(I\) with List \(II\) :

List \(I\)	List \(II\)
\(A.\) Fibrous joints	\(I.\) Adjacent vertebrae, limited movement
\(B.\) Cartilaginous joints	\(II.\) Humerus and Pectoral girdle, rotational movement
\(C.\) Hinge joints	\(III.\) Skull, don't allow any movement
\(D.\) Ball and socket joints	\(IV.\) Knee, help in locomotion

Choose the correct answer from the options given below :

NEET 2024 Medium

Explore more questions on app