1.

A uniformly charged and infinitely long line having a liner charge density \[\lambda \] is placed at a normal distance \[y\] from a point O. Consider a sphere of radius \[R\] with O as the center and \[R\] > \[y\]. Electric flux through the surface of the sphere is

A. Zero
B. \[\frac{2\lambda R}{{{\varepsilon }_{0}}}\]
C. \[\frac{2\lambda \sqrt{{{R}^{2}}-{{y}^{2}}}}{{{\varepsilon }_{0}}}\]
D. \[\frac{\lambda \sqrt{{{R}^{2}}+{{y}^{2}}}}{{{\varepsilon }_{0}}}\]
Answer» D. \[\frac{\lambda \sqrt{{{R}^{2}}+{{y}^{2}}}}{{{\varepsilon }_{0}}}\]


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