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`        two similar helium filled spherical balloon tied to weight 5g weight with strings and each carrying a electric charge q floats in equilibrium as shown in figure.	find the magnitude of q assuming that the charge on each balloon as if it were concentrated at its centre.	find the volume of each balloon [neglect the weight of unfilled balloon and assume that the density of air is 0.00129gm/cc and density of helium inside the balloon is 0.0002 gm/cc]`
4 years ago

```							Here,@ has been used for thita Solution:2Tcos@=(mg)=5*10^-3*10(WKT,9cos@=B/HB2=H2-P2=1-(0.3)^2Root of 1-(0.3)^2=0.9(aprrox)).'. 2T(0.9)=5*10^-3*10T=5*10^-2/2*0.9T=5*10^-2/1.8-------------(1)lly,Tcos@=5*10^-2/2-----------(2)Also,Tsin@=5*10^-2*0.3/1.8*1----------(bcz sin@=0.3/1)Tsin@=5*10^-2/6-------------(3) Now Tsin@=F(electrical)5*10^-2/6=9*10^9*q^2/(6*10^-1)^2q^2=5*10^-2*6*6*10^-2/6*9*10^9q^2=10/3*10^-13q^2=10*10*10^-14/3-----------(for math convinence)q=17/3*10-7q=5.5*10^-7(approx)--------(ans 1)   Now,Tcos@=F(buoyancy)Tcos@=V(rho-sigma)g-----------(archimede principle)5*10^-2=V(1.29-0.2)*10--------------(in kg/m^3 and g=10m/s^2)So V=5*10^-2/2*11HenceV=2.3*10-3m^3 (ans 2)
```
one year ago
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