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In the formula X=3YZ^(2), X and Z have d...

In the formula `X=3YZ^(2)`, X and Z have dimensions of capacitance and magnetic induction respectively. What are the dimensions of Y in MKSQ system?

A

`[M^(2)L^(-1)T^(3)Q^(4)]`

B

`[M^(-3)L^(-2)T^(4)Q^(4)]`

C

`[M^(-2)L^(-2)T^(4)Q^(4)]`

D

`[M^(-3)L^(-2)T^(4)Q^(1)]`

Text Solution

Verified by Experts

The correct Answer is:
A,B,C
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Knowledge Check

  • In the formula X = 3Y Z^(2) , X and Z have dimensions of capacitance and magteic induction respectively . When are the dimensions of F in MESQ system ?

    A
    `[M^(-3)L^(-1)T^(3)Q^(4]]`
    B
    `[M^(-3)L^(-2)T^(4)Q^(4)]`
    C
    `[M^(-3)L^(-2)T^(4)Q^(4)]`
    D
    `[M^(-3)L^(-2)T^(4)Q^(4)]`

  • In the formula X = 3 YZ^(2), X and Z have dimensions of capacitance and magnetic induction respectively. The dimensions of Y in MKSA system are :

    A
    `[ M ^(-3) L ^(-2) T ^(-) A ^(-4)]`
    B
    `[ML ^(-2)]`
    C
    `[ M ^(-3) L ^(-2) A^(4) T ^(9) ]`
    D
    `[M ^(-3) L^(2) A ^(4) T ^(4)]`

  • In the formula X =5YZ^(2) , X and Z have dimensions of capacitance and magnetic field, respectively. What are the dimensions of Y in SI units?

    A
    `[M^(-2)L^(-2)T^(6)A^(3)]`
    B
    `[M^(-2)L^(0) T^(-4)A^(-2)]`
    C
    `[M^(-3) L^(-2) T^(8) A^(4)]`
    D
    `[M^(-1) L^(-2) T^(4) A^(2)]`