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Relation between position X and time T are given below for a particle moving along a straight line which of the following equation represents uniformly accelerated motion where alpha and beta are positive constants? (1)beta x = alpha t alpha beta (2)alpha x= beta t (3)xt =alpha beta (4)alpha t =√(beta x)?
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Relation between position X and time T are given below for a particle ...
Ans.
Option (4)
For a uniformly accelerated motion, acceleration must be a constant.
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Relation between position X and time T are given below for a particle ...
Relation between position and time:
The relation between position (X) and time (T) is not provided in the question. Without this information, we cannot determine the equation representing uniformly accelerated motion.
However, we can discuss the given answer options and analyze their suitability for representing uniformly accelerated motion.
Possible equations:
(1) βX = αT
(2) αX = βT
(3) XT = αβ
(4) αT = √(βX)
Analysis of the answer options:
(1) βX = αT:
This equation does not represent uniformly accelerated motion. In uniformly accelerated motion, the position-time relation involves the square of time (T^2) and not just time (T). Therefore, option (1) is not the correct equation for uniformly accelerated motion.
(2) αX = βT:
This equation also does not represent uniformly accelerated motion. In uniformly accelerated motion, the position-time relation involves the second derivative of position with respect to time, which is acceleration. The equation αX = βT does not include acceleration. Therefore, option (2) is not the correct equation for uniformly accelerated motion.
(3) XT = αβ:
This equation does not represent uniformly accelerated motion either. In uniformly accelerated motion, the position-time relation involves the square of time (T^2) and not just time (T). Therefore, option (3) is not the correct equation for uniformly accelerated motion.
(4) αT = √(βX):
This equation represents uniformly accelerated motion. By rearranging the equation, we can write it as T = (√(βX))/α. This equation shows that time (T) is directly proportional to the square root of position (X) and inversely proportional to acceleration (α). This is consistent with the position-time relation in uniformly accelerated motion, where time is related to the square root of position. Therefore, option (4) is the correct equation for uniformly accelerated motion.
Conclusion:
Among the given options, the equation αT = √(βX) represents uniformly accelerated motion. This equation satisfies the position-time relation for uniformly accelerated motion, where time is related to the square root of position.
The relation between position (X) and time (T) is not provided in the question. Without this information, we cannot determine the equation representing uniformly accelerated motion.
However, we can discuss the given answer options and analyze their suitability for representing uniformly accelerated motion.
Possible equations:
(1) βX = αT
(2) αX = βT
(3) XT = αβ
(4) αT = √(βX)
Analysis of the answer options:
(1) βX = αT:
This equation does not represent uniformly accelerated motion. In uniformly accelerated motion, the position-time relation involves the square of time (T^2) and not just time (T). Therefore, option (1) is not the correct equation for uniformly accelerated motion.
(2) αX = βT:
This equation also does not represent uniformly accelerated motion. In uniformly accelerated motion, the position-time relation involves the second derivative of position with respect to time, which is acceleration. The equation αX = βT does not include acceleration. Therefore, option (2) is not the correct equation for uniformly accelerated motion.
(3) XT = αβ:
This equation does not represent uniformly accelerated motion either. In uniformly accelerated motion, the position-time relation involves the square of time (T^2) and not just time (T). Therefore, option (3) is not the correct equation for uniformly accelerated motion.
(4) αT = √(βX):
This equation represents uniformly accelerated motion. By rearranging the equation, we can write it as T = (√(βX))/α. This equation shows that time (T) is directly proportional to the square root of position (X) and inversely proportional to acceleration (α). This is consistent with the position-time relation in uniformly accelerated motion, where time is related to the square root of position. Therefore, option (4) is the correct equation for uniformly accelerated motion.
Conclusion:
Among the given options, the equation αT = √(βX) represents uniformly accelerated motion. This equation satisfies the position-time relation for uniformly accelerated motion, where time is related to the square root of position.
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Relation between position X and time T are given below for a particle moving along a straight line which of the following equation represents uniformly accelerated motion where alpha and beta are positive constants? (1)beta x = alpha t alpha beta (2)alpha x= beta t (3)xt =alpha beta (4)alpha t =√(beta x)?
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Relation between position X and time T are given below for a particle moving along a straight line which of the following equation represents uniformly accelerated motion where alpha and beta are positive constants? (1)beta x = alpha t alpha beta (2)alpha x= beta t (3)xt =alpha beta (4)alpha t =√(beta x)? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Relation between position X and time T are given below for a particle moving along a straight line which of the following equation represents uniformly accelerated motion where alpha and beta are positive constants? (1)beta x = alpha t alpha beta (2)alpha x= beta t (3)xt =alpha beta (4)alpha t =√(beta x)? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Relation between position X and time T are given below for a particle moving along a straight line which of the following equation represents uniformly accelerated motion where alpha and beta are positive constants? (1)beta x = alpha t alpha beta (2)alpha x= beta t (3)xt =alpha beta (4)alpha t =√(beta x)?.
Relation between position X and time T are given below for a particle moving along a straight line which of the following equation represents uniformly accelerated motion where alpha and beta are positive constants? (1)beta x = alpha t alpha beta (2)alpha x= beta t (3)xt =alpha beta (4)alpha t =√(beta x)? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Relation between position X and time T are given below for a particle moving along a straight line which of the following equation represents uniformly accelerated motion where alpha and beta are positive constants? (1)beta x = alpha t alpha beta (2)alpha x= beta t (3)xt =alpha beta (4)alpha t =√(beta x)? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Relation between position X and time T are given below for a particle moving along a straight line which of the following equation represents uniformly accelerated motion where alpha and beta are positive constants? (1)beta x = alpha t alpha beta (2)alpha x= beta t (3)xt =alpha beta (4)alpha t =√(beta x)?.
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