Check the correctness of the equation h = 2Scosθ / rρg
Answers
Answer:
Explanation:
Given that,
h= 2scosθ/rρg
The units of s,r,g and density
Surface tension S=[M][T]^{-2}S=[M][T] −2
Radius R= [L]R=[L]
Density \rho=[M][L]^{-3}ρ=[M][L] −3
Gravity due to acceleration g=[L][T]^{-2}g=[L][T] −2
h= \dfrac{r\rho g}{S}h= Srρg
h= \dfrac{ [L]\times [M][L]^{-3}\times[L][T]^{-2}}{[M][T]^{-2}}h
= [M][T] −2 [L]×[M][L] −3 ×[L][T] −2
h=[L^{-1}]h=[L −1 ]
This relation is incorrect.The correct relation is define as:h= \dfrac{2scos\theta}{r\rho g}h= rρg2scosθ .....(I)Now put the all value in equation (I)h= \dfrac{S}{r\rho g}h= rρgS h= \dfrac{[M][T]^{-2}}{ [L]\times [M][L]^{-3}\times[L][T]^{-2}}h= [L]×[M][L] −3 ×[L][T] −2 [M][T] −2 h=[L]h=[L]This relation is correct.Hence, Given relation is incorrect
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