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In the formula X=5YZ^{2},X\, \, and\, \, Z have diamension of capacitance and magnetic field, respectively .What are the diamension of Y in SI units?

 

 

 

 

 

 

 

 

 

  • Option 1)

    \left [ M^{-3} L^{-2}T^{8}A^{4}\right ]

  • Option 2)

    \left [ M^{-1} L^{-2}T^{4}A^{2}\right ]

  • Option 3)

    \left [ M^{-2} L^{0}T^{-4}A^{-2}\right ]

  • Option 4)

    \left [ M^{-2} L^{-2}T^{6}A^{3}\right ]

 

Answers (1)

best_answer

X=5YZ^{2}

Y= Capacitance\, \, =\left [ M^{-1}L^{-2}T^{4}A^{2} \right ]

Z= Magnetic\, \, field\, \, =\left [ MT^{-2}A^{-1} \right ]

Y= \frac{x}{5Z^{2}}

Y= \frac{M^{-1}L^{-2}T^{4}A^{2}}{M^{2}T^{-4}A^{-2}}

Y= M^{-3}L^{^{-2}}T^{8}A^{4}


Option 1)

\left [ M^{-3} L^{-2}T^{8}A^{4}\right ]

Option 2)

\left [ M^{-1} L^{-2}T^{4}A^{2}\right ]

Option 3)

\left [ M^{-2} L^{0}T^{-4}A^{-2}\right ]

Option 4)

\left [ M^{-2} L^{-2}T^{6}A^{3}\right ]

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