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Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : When the displacement of a body is directly proportional to the square of the time. Then the body is moving with uniform acceleration.
Reason : The slope of velocity-time graph with time axis gives acceleration.
- 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.
Correct answer is option 'B'. Can you explain this answer?
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Direction: In the following questions, a statement of assertion (A) i...
When displacement of body is given by 
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So differentiating t^2 with respect to dt will result 'v' as 2t.
Now again differentiating v with respect to dt we get 'a' as 2.
Hence the body will have zero acceleration as the value of 'a' is constant
Most Upvoted Answer
Direction: In the following questions, a statement of assertion (A) i...
Assertion: When the displacement of a body is directly proportional to the square of the time, then the body is moving with uniform acceleration.
Reason: The slope of velocity-time graph with time axis gives acceleration.
The correct answer is option B, which states that both the assertion and the reason are true, but the reason is not the correct explanation of the assertion.
Explanation:
To understand this answer, let's break down the concepts involved:
Uniform acceleration:
Uniform acceleration refers to a situation where the velocity of an object changes by the same amount in each equal interval of time. In other words, the acceleration remains constant.
Displacement of a body:
Displacement refers to the change in position of an object from its initial point to its final point.
Velocity-time graph:
A velocity-time graph represents the relationship between the velocity of an object and the time taken. The slope of the velocity-time graph represents the acceleration of the object.
Now let's analyze the assertion and the reason separately:
Assertion: When the displacement of a body is directly proportional to the square of the time, then the body is moving with uniform acceleration.
This means that if the displacement of a body is given by the equation s = kt^2, where s is the displacement and t is the time, then the body is moving with uniform acceleration. This is because the displacement is directly proportional to the square of the time.
Reason: The slope of the velocity-time graph with the time axis gives acceleration.
The slope of a graph represents the rate of change between two variables. In the case of a velocity-time graph, the slope represents the acceleration. The steeper the slope, the greater the acceleration.
Now let's connect the assertion and the reason:
The reason states that the slope of the velocity-time graph gives acceleration. This is true and can be easily understood from the definition of slope. However, the reason does not explain why a body with displacement directly proportional to the square of time has uniform acceleration. The reason only talks about how to measure acceleration from a velocity-time graph, which is not directly related to the assertion.
In conclusion, both the assertion and the reason are true, but the reason does not provide a correct explanation for the assertion. Therefore, option B is the correct answer.
Reason: The slope of velocity-time graph with time axis gives acceleration.
The correct answer is option B, which states that both the assertion and the reason are true, but the reason is not the correct explanation of the assertion.
Explanation:
To understand this answer, let's break down the concepts involved:
Uniform acceleration:
Uniform acceleration refers to a situation where the velocity of an object changes by the same amount in each equal interval of time. In other words, the acceleration remains constant.
Displacement of a body:
Displacement refers to the change in position of an object from its initial point to its final point.
Velocity-time graph:
A velocity-time graph represents the relationship between the velocity of an object and the time taken. The slope of the velocity-time graph represents the acceleration of the object.
Now let's analyze the assertion and the reason separately:
Assertion: When the displacement of a body is directly proportional to the square of the time, then the body is moving with uniform acceleration.
This means that if the displacement of a body is given by the equation s = kt^2, where s is the displacement and t is the time, then the body is moving with uniform acceleration. This is because the displacement is directly proportional to the square of the time.
Reason: The slope of the velocity-time graph with the time axis gives acceleration.
The slope of a graph represents the rate of change between two variables. In the case of a velocity-time graph, the slope represents the acceleration. The steeper the slope, the greater the acceleration.
Now let's connect the assertion and the reason:
The reason states that the slope of the velocity-time graph gives acceleration. This is true and can be easily understood from the definition of slope. However, the reason does not explain why a body with displacement directly proportional to the square of time has uniform acceleration. The reason only talks about how to measure acceleration from a velocity-time graph, which is not directly related to the assertion.
In conclusion, both the assertion and the reason are true, but the reason does not provide a correct explanation for the assertion. Therefore, option B is the correct answer.
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Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : When the displacement of a body is directly proportional to the square of the time. Then the body is moving with uniform acceleration.Reason : The slope of velocity-time graph with time axis gives acceleration.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.Correct answer is option 'B'. Can you explain this answer?
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Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : When the displacement of a body is directly proportional to the square of the time. Then the body is moving with uniform acceleration.Reason : The slope of velocity-time graph with time axis gives acceleration.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.Correct answer is option 'B'. 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 (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : When the displacement of a body is directly proportional to the square of the time. Then the body is moving with uniform acceleration.Reason : The slope of velocity-time graph with time axis gives acceleration.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.Correct answer is option 'B'. 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 (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : When the displacement of a body is directly proportional to the square of the time. Then the body is moving with uniform acceleration.Reason : The slope of velocity-time graph with time axis gives acceleration.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.Correct answer is option 'B'. Can you explain this answer?.
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : When the displacement of a body is directly proportional to the square of the time. Then the body is moving with uniform acceleration.Reason : The slope of velocity-time graph with time axis gives acceleration.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.Correct answer is option 'B'. 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 (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : When the displacement of a body is directly proportional to the square of the time. Then the body is moving with uniform acceleration.Reason : The slope of velocity-time graph with time axis gives acceleration.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.Correct answer is option 'B'. 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 (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : When the displacement of a body is directly proportional to the square of the time. Then the body is moving with uniform acceleration.Reason : The slope of velocity-time graph with time axis gives acceleration.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.Correct answer is option 'B'. Can you explain this answer?.
Solutions for Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : When the displacement of a body is directly proportional to the square of the time. Then the body is moving with uniform acceleration.Reason : The slope of velocity-time graph with time axis gives acceleration.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.Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
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Here you can find the meaning of Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : When the displacement of a body is directly proportional to the square of the time. Then the body is moving with uniform acceleration.Reason : The slope of velocity-time graph with time axis gives acceleration.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.Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : When the displacement of a body is directly proportional to the square of the time. Then the body is moving with uniform acceleration.Reason : The slope of velocity-time graph with time axis gives acceleration.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.Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : When the displacement of a body is directly proportional to the square of the time. Then the body is moving with uniform acceleration.Reason : The slope of velocity-time graph with time axis gives acceleration.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.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : When the displacement of a body is directly proportional to the square of the time. Then the body is moving with uniform acceleration.Reason : The slope of velocity-time graph with time axis gives acceleration.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.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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