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Assertion: According to Newton's law of ...

Assertion: According to Newton's law of cooling, the rate of loss of heat, `-dQ//dt` of the body is directly proportional to the difference of temperature.
Reason :This law holds for all type of temperature differences. a) If both assertion and reason are true and reason is the correct explanation of assertion. b) If both assertion and reason are true and reason is not the correct explanation of assertion. c) If assertion is true and reason is false. d) If both assertion and reason are false.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true and reason is not the correct explanation of assertion.

C

If assertion is true and reason is false.

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to evaluate the assertion and the reason provided and determine their validity. ### Step-by-Step Solution: 1. **Understanding the Assertion**: The assertion states that "According to Newton's law of cooling, the rate of loss of heat, `-dQ/dt`, of the body is directly proportional to the difference of temperature." - According to Newton's law of cooling, this statement is indeed correct. The law expresses that the rate of heat loss from a body is proportional to the temperature difference between the body and its surroundings. 2. **Understanding the Reason**: The reason states that "This law holds for all types of temperature differences." - This statement is incorrect. Newton's law of cooling is valid primarily for small temperature differences. For large temperature differences, the law does not hold true as the rate of heat loss may not be linear. 3. **Evaluating the Truth of Each Statement**: - The assertion is true. - The reason is false. 4. **Choosing the Correct Option**: Based on the evaluations: - Since the assertion is true and the reason is false, the correct option is **c)** If assertion is true and reason is false. ### Final Answer: The correct option is **c)** If assertion is true and reason is false. ---
To solve the question, we need to evaluate the assertion and the reason provided and determine their validity. ### Step-by-Step Solution: 1. **Understanding the Assertion**: The assertion states that "According to Newton's law of cooling, the rate of loss of heat, `-dQ/dt`, of the body is directly proportional to the difference of temperature." - According to Newton's law of cooling, this statement is indeed correct. The law expresses that the rate of heat loss from a body is proportional to the temperature difference between the body and its surroundings. ...
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