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What is the dimensional formula for velocity?
What is the dimensional formula for velocity?
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Practice Questions
1 question
Q1
What is the dimensional formula for velocity?
MLT⁻¹
ML²T⁻²
M⁰L⁰T⁻¹
M⁰L¹T⁻²
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Velocity is defined as displacement per unit time, which gives the dimensional formula of [MLT⁻¹].
Questions & Step-by-step Solutions
1 item
Q
Q: What is the dimensional formula for velocity?
Solution:
Velocity is defined as displacement per unit time, which gives the dimensional formula of [MLT⁻¹].
Steps: 6
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Step 1: Understand that velocity measures how fast something moves.
Step 2: Know that velocity is calculated by dividing displacement (how far something has moved) by time (how long it took).
Step 3: Identify the dimensions of displacement. Displacement is a measure of length, which has the dimensional formula [L].
Step 4: Identify the dimensions of time. Time has the dimensional formula [T].
Step 5: Combine the dimensions for velocity. Since velocity is displacement divided by time, the formula becomes [L] / [T].
Step 6: Simplify the formula. This gives us [L][T⁻¹], which is the same as [MLT⁻¹] since mass (M) is not involved in the formula for velocity.
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