Question

What are the dimensions of the quantity
l√l/g, lbeing the length and g the
acceleration due to gravity?​

Answer 1

Answer:

The dimensions of l × √(l/g) are [L][T]

Explanation

We have to find the dimensions of the quantity

L×√L/g

We know that

Dimension of length l = [L]

Dimensions of acceleration due to gravity g = [LT- ²]

Therefore, dimensions of l × √(l/g)

=[L] × √[L]/[LT-²]

=[L] × √[T²]

=[L] × √[T²]1/2

=[L][T]

Therefore the dimensions of l × √(l/g) are [L][T]

Hope this helps.