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Direction: In the following questions, a statement of assertion is followed by a statement of reason. Mark the correct choice as:
Assertion : Graph between potential energy of spring versus the extension or compression of the spring is a straight line.
Reason : Potential energy of a stretched or compressed spring, is directly proportional to square of extension or compression.
- a)Both assertion and reason are true and reason is the correct explanation of assertion.
- b)Both assertion and reason are true but reason is not the correct explanation of assertion.
- c)Assertion is true but reason is false.
- d)Assertion is false but reason is true.
Correct answer is option 'D'. Can you explain this answer?
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Direction: In the following questions, a statement of assertion is fo...
Assertion is false but reason is true.
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Potential energy (u) = ½(kx2)
i.e. u ∝ x2
This is an equation of parabola, so graph between u and x is a parabola, not straight line.
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Direction: In the following questions, a statement of assertion is fo...
Assertion: Graph between potential energy of spring versus the extension or compression of the spring is a straight line.
Reason: Potential energy of a stretched or compressed spring is directly proportional to the square of extension or compression.
The correct answer is option 'D' - Assertion is false but reason is true.
Explanation:
The assertion states that the graph between potential energy of a spring and its extension or compression is a straight line. However, this assertion is not true.
Potential Energy of a Spring:
The potential energy of a spring is given by the equation:
PE = (1/2)kx^2
Where PE is the potential energy, k is the spring constant, and x is the extension or compression of the spring. This equation shows that the potential energy is directly proportional to the square of the extension or compression.
Graph of Potential Energy vs. Extension/Compression:
When we plot the graph of potential energy versus extension or compression, the relationship is not linear. Instead, it forms a parabolic curve. This is because the potential energy is proportional to the square of the extension or compression.
As we increase the extension or compression of the spring, the potential energy initially increases rapidly but at a decreasing rate. Eventually, the potential energy reaches a maximum value when the spring is fully extended or compressed. After that point, further extension or compression reduces the potential energy.
This non-linear relationship between potential energy and extension or compression can be clearly seen in the graph, which forms a parabolic curve.
Therefore, the reason provided in the statement is true - the potential energy of a stretched or compressed spring is indeed directly proportional to the square of the extension or compression. However, the assertion that the graph between potential energy and extension or compression is a straight line is false.
Reason: Potential energy of a stretched or compressed spring is directly proportional to the square of extension or compression.
The correct answer is option 'D' - Assertion is false but reason is true.
Explanation:
The assertion states that the graph between potential energy of a spring and its extension or compression is a straight line. However, this assertion is not true.
Potential Energy of a Spring:
The potential energy of a spring is given by the equation:
PE = (1/2)kx^2
Where PE is the potential energy, k is the spring constant, and x is the extension or compression of the spring. This equation shows that the potential energy is directly proportional to the square of the extension or compression.
Graph of Potential Energy vs. Extension/Compression:
When we plot the graph of potential energy versus extension or compression, the relationship is not linear. Instead, it forms a parabolic curve. This is because the potential energy is proportional to the square of the extension or compression.
As we increase the extension or compression of the spring, the potential energy initially increases rapidly but at a decreasing rate. Eventually, the potential energy reaches a maximum value when the spring is fully extended or compressed. After that point, further extension or compression reduces the potential energy.
This non-linear relationship between potential energy and extension or compression can be clearly seen in the graph, which forms a parabolic curve.
Therefore, the reason provided in the statement is true - the potential energy of a stretched or compressed spring is indeed directly proportional to the square of the extension or compression. However, the assertion that the graph between potential energy and extension or compression is a straight line is false.
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Direction: In the following questions, a statement of assertion is followed by a statement of reason. Mark the correct choice as:Assertion : Graph between potential energy of spring versus the extension or compression of the spring is a straight line.Reason : Potential energy of a stretched or compressed spring, is directly proportional to square of extension or compression.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer?
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Direction: In the following questions, a statement of assertion is followed by a statement of reason. Mark the correct choice as:Assertion : Graph between potential energy of spring versus the extension or compression of the spring is a straight line.Reason : Potential energy of a stretched or compressed spring, is directly proportional to square of extension or compression.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Direction: In the following questions, a statement of assertion is followed by a statement of reason. Mark the correct choice as:Assertion : Graph between potential energy of spring versus the extension or compression of the spring is a straight line.Reason : Potential energy of a stretched or compressed spring, is directly proportional to square of extension or compression.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the following questions, a statement of assertion is followed by a statement of reason. Mark the correct choice as:Assertion : Graph between potential energy of spring versus the extension or compression of the spring is a straight line.Reason : Potential energy of a stretched or compressed spring, is directly proportional to square of extension or compression.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer?.
Direction: In the following questions, a statement of assertion is followed by a statement of reason. Mark the correct choice as:Assertion : Graph between potential energy of spring versus the extension or compression of the spring is a straight line.Reason : Potential energy of a stretched or compressed spring, is directly proportional to square of extension or compression.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Direction: In the following questions, a statement of assertion is followed by a statement of reason. Mark the correct choice as:Assertion : Graph between potential energy of spring versus the extension or compression of the spring is a straight line.Reason : Potential energy of a stretched or compressed spring, is directly proportional to square of extension or compression.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the following questions, a statement of assertion is followed by a statement of reason. Mark the correct choice as:Assertion : Graph between potential energy of spring versus the extension or compression of the spring is a straight line.Reason : Potential energy of a stretched or compressed spring, is directly proportional to square of extension or compression.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer?.
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ample number of questions to practice Direction: In the following questions, a statement of assertion is followed by a statement of reason. Mark the correct choice as:Assertion : Graph between potential energy of spring versus the extension or compression of the spring is a straight line.Reason : Potential energy of a stretched or compressed spring, is directly proportional to square of extension or compression.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 9 tests.
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