Question

Check the correctness of the 1/2mv^2=mgh,dimension

Answer 1

hello friend

1/2mv² = mgh
we have to check the correctness
by dimensional analysis

So LHS
Dimensional formula of 1/2mv²
will. be [M¹ L²T-²]

so now RHS

mgh
dimensional formula of mass is [M¹]

dimensional formula of g (acceleration due to gravity) is [ L¹ T-²]

dimensional formula of height(length) is [L¹]

so dimensional formula of mgh will be


= [M¹ L²T-² ]

so LHS = RHS
it means formulas are dimensionally correct.

Comment if you have any problem.

Answer 2

hope this will help.u