An infinite number of electric charges each equal to 5 nano-coulomb (magnitude) are placed along X-axis at \[x=1\]cm, \[x=2\]cm, \[x=4\]cm \[x=8\]cm ???. and so on. In the setup if the consecutive charges have opposite sign, then the electric field in Newton/Coulomb at \[x=0\] is \[\left( \frac{1}{4\pi {{\varepsilon }_{0}}}=9\times {{10}^{9}}N-{{m}^{2}}/{{c}^{2}} \right)\] [EAMCET 2003]

• A.            \[12\times {{10}^{4}}\]
• B.                                      \[24\times {{10}^{4}}\]
• C.            \[36\times {{10}^{4}}\]    
• D.            \[48\times {{10}^{4}}\]