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Consider three quantities: x = (E)/( b) ...

Consider three quantities: `x = (E)/( b) , y = (1)/(sqrt( mu_(0) epsilon _(0))) , and z = (l) /( C R)`.
Here , `l` is the length of a wire , `C` is the capacitance , and `R` is a resistance. All other symbols have usual meanings. Then

A

` x and y ` have the same dimensions.

B

`x and z` have the same dimensions.

C

`y and z` have the same dimensions.

D

None of the above three pairs have the same dimensions.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Unit of x `= ("Uit of E")/("Unit of B")` = Unit of velocity
Because `E = vB`
` y = (1)/(sqrt( mu_(0) epsilon _(0)))` = c rarr velocity of light
unit of `z = ("Unit of l")/("Unit of RC") = ("Length")/("Time") = "Velocity"`
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