A charged sphere with (1 times 10^{8}) units of negative charge is brought near a neutral metal

Question:

A charged sphere with $1 \times 10^{8}$ units of negative charge is brought near a neutral metal rod. The half of the rod closer to the sphere has a surplus charge of $1 \times 10^{4}$ units. What is the magnitude of the charge on the half of the rod farther from the sphere? Is this charge positive or negative?

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