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Proof of Gauss’s Theorem Statement:
Let the charge be = q
Let us construct the Gaussian sphere of radius = r
Now, Consider , A surface or area ds having having ds (vector)
Normal having the flux at ds:
Flux at ds:
d e = E (vector) d s (vector) cos θ
But , θ = 0
Therefore, Total flux:
C = f d Φ
E 4 π r2
Therefore,
σ = 1 / 4πɛo q / r2 × 4π r2
σ = q / ɛo
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Its coordinate in meters is given by x(t) = 75t - 1.0t3 , where t is in s. When velocity (v) of the object = 0, the. value of its acceleration is : (Ans: -30 m/s2 )
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