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Question and Answer

The wave function (in SI units) for an electromagnetic wave is given as
\(\psi (x,t)={ 10 }^{ 3 }\sin p{ \left( 3\times { 10 }^{ 6 }x-9\times { 10 }^{ 14 }t \right) } \).The speed of the wave is:

(A) \(9\times { 10 }^{ 14 }\)
(B) \(3\times { 10 }^{ 8 }\)
(C) \(3\times { 10 }^{ 6 }\)
(D) \(3\times { 10 }^{ 7 }\)

Answer

Answer: B
The speed of the wave is given as \(v=\dfrac{\omega }{k}=\dfrac{9\times 10^{14}}{3\times 10^6}=3\times 10^8\)
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