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Question: The ionization potential of mercury is 10.38 volt. To gain energy sufficient enough to ionize mercur...

The ionization potential of mercury is 10.38 volt. To gain energy sufficient enough to ionize mercury, an electron must travel in an electric field of 1.5×106Vm–1 a distance of-

A

10.391.5×(10)6m\frac{10.39}{1.5 \times (10)^{6}}m

B

10.39 × 1.5 × 106 m

C

10.39 × 1.6 ×10–19m

D

10.39×1.6×10191.5×106\frac{10.39 \times 1.6 \times 10^{–19}}{1.5 \times 10^{6}}m

Answer

10.391.5×(10)6m\frac{10.39}{1.5 \times (10)^{6}}m

Explanation

Solution

E = ΔVΔr\frac{\Delta V}{\Delta r}

DV = E Dr

10.39 = 1.5 × 106 × Dr

Dr = 10.391.5×106m\frac{10.39}{1.5 \times 10^{6}}m