NEET
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- NEET
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- Physics
- Chapter
- Motion in Two Dimensions
NEET · Physics · Motion in Two Dimensions
Given below are two statements: one is labelled as Assertion (A)...
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Two stones of masses and , thrown with the same initial velocity at the same angle to the horizontal, will reach the same maximum height.
Reason (R): The maximum height of a projectile is independent of its mass and depends only on the vertical component of its initial velocity and the acceleration due to gravity.
In the light of the above statements, choose the most appropriate answer from the options given below:
Assertion (A): Two stones of masses and , thrown with the same initial velocity at the same angle to the horizontal, will reach the same maximum height.
Reason (R): The maximum height of a projectile is independent of its mass and depends only on the vertical component of its initial velocity and the acceleration due to gravity.
In the light of the above statements, choose the most appropriate answer from the options given below:
Options
- ABoth Assertion (A) and Reason (R) are correct but Reason (R) is not the correct explanation of Assertion (A)
- BBoth Assertion (A) and Reason (R) are correct and Reason (R) is the correct explanation of Assertion (A)
- CAssertion (A) is correct but Reason (R) is incorrect
- DAssertion (A) is incorrect but Reason (R) is correct
Correct answer
B. Both Assertion (A) and Reason (R) are correct and Reason (R) is the correct explanation of Assertion (A)
Step-by-step solution
The maximum height attained by a projectile is given by the formula , where is the vertical component of the initial velocity.
This formula does not contain any term for the mass of the projectile. Therefore, in the absence of air resistance, the maximum height is entirely independent of the mass of the body.
Since both stones are projected with the same initial velocity and at the same angle, they have the same vertical component of initial velocity. Thus, they will reach the exact same maximum height.
Assertion (A) is correct. Reason (R) is also correct and provides the exact theoretical justification for why the masses do not affect the maximum height.
Answer: Both Assertion (A) and Reason (R) are correct and Reason (R) is the correct explanation of Assertion (A)
This formula does not contain any term for the mass of the projectile. Therefore, in the absence of air resistance, the maximum height is entirely independent of the mass of the body.
Since both stones are projected with the same initial velocity and at the same angle, they have the same vertical component of initial velocity. Thus, they will reach the exact same maximum height.
Assertion (A) is correct. Reason (R) is also correct and provides the exact theoretical justification for why the masses do not affect the maximum height.
Answer: Both Assertion (A) and Reason (R) are correct and Reason (R) is the correct explanation of Assertion (A)