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Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : A resistor of resistance R is connected to an ideal battery. If the value of R is decreased, the power dissipated in the circuit will increase.
Reason : The power dissipated in the circuit will increase.
  • a)
    Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
  • b)
    Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
  • c)
    Assertion (A) is true but reason (R) is false.
  • d)
    Assertion (A) is false but reason (R) is true.
  • e)
    Both Assertion and Reason are false.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Directions: In the following questions, a statement of assertion (A) ...
The relation between power dissipation and resistance is given by
P = E2/R i.e Power dissipation is indirectly proportional to the resistance. Hence if the value of R is decreased, the power dissipation in the circuit will increase. Hence the assertion is correct. But the reason is incorrect as it mentions that the power dissipation is directly proportional to the resistance of the circuit which contradicts the relation between power dissipation and resistance of the circuit.
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Most Upvoted Answer
Directions: In the following questions, a statement of assertion (A) ...
Assertion: A resistor of resistance R is connected to an ideal battery. If the value of R is decreased, the power dissipated in the circuit will increase.

Reason: The power dissipated in the circuit will increase.

Explanation:
Assertion (A) is true but reason (R) is false.

When a resistor of resistance R is connected to an ideal battery, the power dissipated in the circuit can be calculated using the formula:

P = V^2 / R,

where P is the power dissipated, V is the voltage across the resistor, and R is the resistance.

If the value of R is decreased, the resistance of the circuit decreases. According to Ohm's Law (V = IR), when the resistance decreases, the current flowing through the circuit increases, assuming the voltage remains constant.

Key Point: Decrease in resistance leads to an increase in current.

Now, let's consider the power dissipation formula. If the resistance is decreased, the denominator of the formula decreases, which results in an increase in power dissipation. This can be seen by rearranging the formula:

P = V^2 / R,

If R decreases, the power P increases.

Key Point: Decrease in resistance leads to an increase in power dissipation.

Conclusion:
Therefore, the assertion is true because a decrease in resistance leads to an increase in power dissipation. However, the reason is false because it does not provide a correct explanation for the assertion. The reason implies that the power dissipated in the circuit will increase, which is correct, but it doesn't explain why the power increases when the resistance decreases.
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Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : A resistor of resistance R is connected to an ideal battery. If the value of R is decreased, the power dissipated in the circuit will increase.Reason : The power dissipated in the circuit will increase.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.e)Both Assertion and Reason are false.Correct answer is option 'C'. Can you explain this answer?
Question Description
Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : A resistor of resistance R is connected to an ideal battery. If the value of R is decreased, the power dissipated in the circuit will increase.Reason : The power dissipated in the circuit will increase.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.e)Both Assertion and Reason are false.Correct answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : A resistor of resistance R is connected to an ideal battery. If the value of R is decreased, the power dissipated in the circuit will increase.Reason : The power dissipated in the circuit will increase.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.e)Both Assertion and Reason are false.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : A resistor of resistance R is connected to an ideal battery. If the value of R is decreased, the power dissipated in the circuit will increase.Reason : The power dissipated in the circuit will increase.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.e)Both Assertion and Reason are false.Correct answer is option 'C'. Can you explain this answer?.
Solutions for Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : A resistor of resistance R is connected to an ideal battery. If the value of R is decreased, the power dissipated in the circuit will increase.Reason : The power dissipated in the circuit will increase.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.e)Both Assertion and Reason are false.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : A resistor of resistance R is connected to an ideal battery. If the value of R is decreased, the power dissipated in the circuit will increase.Reason : The power dissipated in the circuit will increase.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.e)Both Assertion and Reason are false.Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : A resistor of resistance R is connected to an ideal battery. If the value of R is decreased, the power dissipated in the circuit will increase.Reason : The power dissipated in the circuit will increase.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.e)Both Assertion and Reason are false.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : A resistor of resistance R is connected to an ideal battery. If the value of R is decreased, the power dissipated in the circuit will increase.Reason : The power dissipated in the circuit will increase.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.e)Both Assertion and Reason are false.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : A resistor of resistance R is connected to an ideal battery. If the value of R is decreased, the power dissipated in the circuit will increase.Reason : The power dissipated in the circuit will increase.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.e)Both Assertion and Reason are false.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : A resistor of resistance R is connected to an ideal battery. If the value of R is decreased, the power dissipated in the circuit will increase.Reason : The power dissipated in the circuit will increase.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.e)Both Assertion and Reason are false.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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