Physics And Measurement Question 251

Question: The dimensions of the quantity $ \overset{\to }{\mathop{E}}\times \overset{\to }{\mathop{B}} $ where $ \overset{\to }{\mathop{E}} $ represents the electric field and $ \overset{\to }{\mathop{B}} $ the magnetic field may be given as:

Options:

A) $ [ML^{3}] $

B) $ [M^{2}L{{T}^{-5}}{{A}^{-2}}] $

C) $ [M^{2}{{L}^{-3}}T^{2}{{A}^{-1}}] $

D) $ [ML{{T}^{-2}}{{A}^{-2}}] $

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Answer:

Correct Answer: B

Solution:

[b] $ [\overset{\to }{\mathop{E}}\times \overset{\to }{\mathop{B}}]=[\overset{\to }{\mathop{E]}}\times [B] $

$ [ML{{T}^{-3}}{{A}^{-1}}]\times [M{{L}^{-2}}{{A}^{-1}}]=[ML{{T}^{-5}}{{A}^{-2}}] $



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