Question

Is u+a/2(2n-1) is dimensionally correct or not??
Please answer
Tmrw is exam...

Answer 1

u+a/2(2n-1) is dimensionally correct.

Answer 2

Concept:

• Dimensional analysis
• One dimensional motion

Given:

• Distance travelled in the nth second Sn = u+a/2(2n-1)

Find:

• Whether Sn = u+a/2(2n-1) is dimensionally correct

Solution:

Consider the right-hand side

• Distance covered in the nth second Sn = [LT⁻¹]

Consider the left-hand side

• u is the initial velocity, so u =[LT⁻¹]
• a is the acceleration, so a = [LT⁻²]
• n is the time, so n = [T]
• u+a/2(2n-1) =   [LT⁻¹]

This is equal to the right-hand side.

Therefore, the equation is dimensionally correct.

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