Check the equation 1/2mvsquare=mgh is dimensionally correct or not

Open in App

Solution

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.

Suggest Corrections

363

Similar questions

S_{t} = u + \frac{1}{2} a (2 t - 1)

\frac{1}{2} m u^{2} = m g h

m

v

g

R

Check whether the relation $S = u t + \frac{1}{2} a t^{2}$ is dimensionally correct or not. Where symbols have their

usual meaning?

Check whether the relation $S = u t + \frac{1}{2} a t^{2}$ is dimensionally correct or not. Where symbols have their

usual meaning?

S = u t + \frac{1}{2} a t^{2}

Join BYJU'S Learning Program