Charge (e)of electron=1.6×10^-19..q=ne...q=10^14×1.6×10^-19.q=1.6×10^-5...as negative charged particle is removed(I.e. electron)...so, the sphere obtains positive charge...

Understanding the Charge on the Sphere
When electrons are removed from a neutral metal sphere, the sphere gains a positive charge. This is due to the loss of negatively charged electrons, leading to an imbalance in charge.
Calculation of Charge
- The charge of a single electron is approximately \( -1.6 \times 10^{-19} \) coulombs.
- If \( 10^{14} \) electrons are removed, the total charge removed can be calculated as:
\[
\text{Total Charge} = \text{Number of Electrons} \times \text{Charge of One Electron}
\]
- Plugging in the values:
\[
\text{Total Charge} = 10^{14} \times (-1.6 \times 10^{-19}) = -1.6 \times 10^{-5} \text{ C}
\]
- Since electrons are negatively charged, removing them results in a positive charge on the sphere.
Resultant Charge on the Sphere
- The sphere was initially neutral (0 C).
- Thus, after removing \( 10^{14} \) electrons, the charge on the sphere becomes:
\[
\text{Charge on Sphere} = 0 \text{ C} - (-1.6 \times 10^{-5} \text{ C}) = +1.6 \times 10^{-5} \text{ C}
\]
Conclusion
- The charge on the sphere after removing \( 10^{14} \) electrons is:
\[
+1.6 \times 10^{-5} \text{ C}
\]
- This positive charge indicates that the sphere now has an excess of positive charge relative to the electrons that remain.