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The dimensional formula for acceleration is
- a)[LT2]
- b)[LT-2]
- c)[L2T]
- d)[L2T2]
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The dimensional formula for acceleration isa)[LT2]b)[LT-2]c)[L2T]d)[L2...
Acceleration is the rate of change of velocity of an object with respect to time. It is a vector quantity and its direction is the same as that of the change in velocity. The dimensional formula for acceleration is given by LT-2, where L stands for length and T stands for time.
Explanation:
Acceleration can be mathematically represented as:
a = (v-u)/t
where a is the acceleration, v is the final velocity, u is the initial velocity and t is the time taken to change the velocity.
Dimensional formula for velocity is LT-1, as velocity is distance travelled per unit time. Therefore, the dimensional formula for acceleration can be obtained by dividing the dimensional formula for velocity by the dimensional formula for time.
a = (v-u)/t = (LT-1 - LT-1)/T = LT-2
Hence, the correct answer is option B, LT-2.
Conclusion:
In conclusion, the dimensional formula for acceleration is LT-2, which means that acceleration is directly proportional to length and inversely proportional to time squared. It is important to understand the dimensional formula of a physical quantity as it helps in formulating equations and understanding the physical nature of the quantity.
Explanation:
Acceleration can be mathematically represented as:
a = (v-u)/t
where a is the acceleration, v is the final velocity, u is the initial velocity and t is the time taken to change the velocity.
Dimensional formula for velocity is LT-1, as velocity is distance travelled per unit time. Therefore, the dimensional formula for acceleration can be obtained by dividing the dimensional formula for velocity by the dimensional formula for time.
a = (v-u)/t = (LT-1 - LT-1)/T = LT-2
Hence, the correct answer is option B, LT-2.
Conclusion:
In conclusion, the dimensional formula for acceleration is LT-2, which means that acceleration is directly proportional to length and inversely proportional to time squared. It is important to understand the dimensional formula of a physical quantity as it helps in formulating equations and understanding the physical nature of the quantity.
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Community Answer
The dimensional formula for acceleration isa)[LT2]b)[LT-2]c)[L2T]d)[L2...
Acceleration=rate of change of velocity ÷time
=velocity ÷time
= [LT-²]÷[T]. (velocity=LT-¹)
= [LT-¹T-¹]
=[LT-²]
=velocity ÷time
= [LT-²]÷[T]. (velocity=LT-¹)
= [LT-¹T-¹]
=[LT-²]
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The dimensional formula for acceleration isa)[LT2]b)[LT-2]c)[L2T]d)[L2T2]Correct answer is option 'B'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The dimensional formula for acceleration isa)[LT2]b)[LT-2]c)[L2T]d)[L2T2]Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The dimensional formula for acceleration isa)[LT2]b)[LT-2]c)[L2T]d)[L2T2]Correct answer is option 'B'. Can you explain this answer?.
The dimensional formula for acceleration isa)[LT2]b)[LT-2]c)[L2T]d)[L2T2]Correct answer is option 'B'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The dimensional formula for acceleration isa)[LT2]b)[LT-2]c)[L2T]d)[L2T2]Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The dimensional formula for acceleration isa)[LT2]b)[LT-2]c)[L2T]d)[L2T2]Correct answer is option 'B'. Can you explain this answer?.
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