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check the correctness of the equation (i) T = K * root rho*r/S where K is constant , rho is density ,r radius and S be the surface tension (ii) F =mv 2 /r (iii) T = 2pi* root L/g (iv)V= root E/d where v is velocity E is elasticity and d, density (v) E = mgh + ½ mv 2

check the correctness of the equation
 (i) T = K * root rho*r/S where K is constant , rho is density ,r radius and S be the surface tension
 (ii) F =mv2/r (iii) T = 2pi* root L/g (iv)V= root E/d where v is velocity E is elasticity and d, density 
(v) E = mgh + ½ mv2    

Grade:10

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
Please aks only one question in one thread.
 
Given 
F=mV²/r
Dimensional Formula of Force= mx a       
                                                    =mxv/t
 L.H.S=F =M¹L¹T⁻²---------(1)
R.H.S=mv²/r        
  =M¹(L¹T⁻¹)²/L        
  =M¹L²T⁻²/L         
  =M¹L¹T⁻²------------(2)
By equation 1 and 2
L.H.S =R.H.S
Since the dimensions of F and mV²/r are equal... so equation is dimensionally correct.
 

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