Question

What are the dimensions of the quantity l√l/g,l being 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\times \sqrt{l/g}l×

l/g

We know that

Dimension of length l = [L][L]

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

−2

]

Therefore, dimensions of l × √(l/g)

=[L]\times\sqrt{[L]/[LT^{-2}]}=[L]×

[L]/[LT

−2

]

=[L]\times\sqrt{[T^{2}]}=[L]×

[T

2

]

=[L]\times{[T^{2}]^{1/2}

=[L][T]=[L][T]

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

Answer 2

Answer:

the dimension of l is {L}

dimension of g is {LT^-2}

L√L/g

is L×L^1/2/{LT-2}

{L^3/2-1/T^-1}

{LT}..