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The value of \({E}_{0}\) is 9.3 V/m and c is 3 × \({10}^{8}\) m/s. Find the value of B 0 . (Shift - II Memory Based)

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The value of \({E}_{0}\) is 9.3 V/m and c is 3 × \({10}^{8}\) m/s. Find the value of B0.

(Shift - II Memory Based)

a

1

b

\(2\times {10}^{-8}\)

c

4

d

\(3.1\times {10}^{-8}\)

✓ Correct answer: d)

\(3.1\times {10}^{-8}\)

Explanation

The relationship between the electric field (\({E}_{0}\)) and magnetic field (\({B}_{0}\)) in electromagnetic waves is given by:

\({E}_{0}=c⋅{B}_{0}\)​

Rearranging for \({B}_{0}\)​:

\({B}_{0}=\frac{{E}_{0}}{c}\)​​

Substitute the given values:

\({B}_{0}=\frac{9.3}{3\times 1{0}^{8}}\)​

Simplify:

\({B}_{0}=3.1\times 1{0}^{−8}\text{ }\text{T}\)

Rounding \({B}_{0}\)​ is approximately 3 (depending on units being normalized for \({B}_{0}\)​).

Correct answer: (d).

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