Question

check whether the equation is correct or not by dimensional analysis.
P = (4T) / R
where, P = pressure ; T = surface tension ; R = radius

Answer 1

given equation is P = 4T/R

• dimensional formula of surface tension, T = [MT-²]
• dimensional formula of radius, R = [L]
• dimensional formula of Pressure, P = [ML-¹T-²]

from dimensional analysis,

equation is dimensionally correct only if

dimension of P = dimension of (4T/R)

RHS = dimension of (4T/R) = dimension of T/dimension of R

= [MT-²]/[L]

= [ML-¹T-²]

LHS = dimension of P = [ML-¹T-²]

hence, LHS =RHS

so, given equation is dimensionally correct.

Answer 2

Answer:

see it in image

Explanation:

thanks u