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const2013 [10]
3 years ago
6

An atomic nucleus has a charge of +40e. What is the magnitude of the electric field at a distance of 1.0 m from the center of th

e nucleus?
Mathematics
1 answer:
ASHA 777 [7]3 years ago
6 0

Answer:

E=5.76\times 10^{-8}N/C

Step-by-step explanation:

We are given that

Charge of atomic nucleus,q=+40 e=40\times 1.6\times 10^{-19}C

Because

1 e=1.6\times 10^{-19} C

Charge of atomic nucleus=64\times 10^{-19}C

Distance of charge form the center of nucleus=r=1 m

We have to find the magnitude of  electric field at distance r

E=\frac{Kq}{r^2}

Where K=9\times 10^9Nm^2/C^2

Using the formula

E=\frac{9\times 10^9\times 64\times 10^{-19}}{1}=576\times 10^{-10}N/C

E=\frac{576}{100}\times 10^2\times 10^{-10}=5.76\times 10^{2-10}=5.76\times 10^{-8}N/C

Using identitya^x\cdot a^y=a^{x+y}

Hence, the magnitude of electric field=E=5.76\times 10^{-8}N/C

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