The formula X = 5YZ² X and Z have dimensions of capacitance and magne

1.	The formula X = 5YZ² X and Z have dimensions of capacitance and magnetic field respectively. What are the dimensions of Y in SI units?(A) [M⁻² L⁰ T⁻⁴ A⁻²] (B) [M⁻³ L⁻² T⁸ A⁻¹](C) [M⁻² L⁻² T⁶ A³] (D) [M⁻¹ L⁻² T⁴ A²]
Answer» The dimensions of Y in SI UNITS is : M⁻³.L⁻².T⁸.A⁴ The dimension can be FOUND out in the FOLLOWING ways- Given, X = 5YZ² , therefore, X = 5YZ² Y = X / 5Z² [Y] = [X] [Z²] [Y] = (A².M⁻¹L⁻².T⁴) / (MA⁻¹T⁻²)² [Y] = M⁻³.L⁻².T⁸.A⁴ Thus, the dimension of Y in SI unit is M⁻³.L⁻².T⁸.A⁴.

The formula X = 5YZ² X and Z have dimensions of capacitance and magnetic field respectively. What are the dimensions of Y in SI units?(A) [M⁻² L⁰ T⁻⁴ A⁻²] (B) [M⁻³ L⁻² T⁸ A⁻¹](C) [M⁻² L⁻² T⁶ A³] (D) [M⁻¹ L⁻² T⁴ A²]

Answer»

The dimensions of Y in SI UNITS is :

M⁻³.L⁻².T⁸.A⁴

The dimension can be FOUND out in the FOLLOWING ways-

Given, X = 5YZ² , therefore,

X = 5YZ²

Y = X / 5Z²

[Y] = [X] [Z²]

[Y] = (A².M⁻¹L⁻².T⁴) / (MA⁻¹T⁻²)²

[Y] = M⁻³.L⁻².T⁸.A⁴

Thus, the dimension of Y in SI unit is M⁻³.L⁻².T⁸.A⁴.

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The formula X = 5YZ² X and Z have dimensions of capacitance and magnetic field respectively. What are the dimensions of Y in SI units?(A) [M⁻² L⁰ T⁻⁴ A⁻²] (B) [M⁻³ L⁻² T⁸ A⁻¹](C) [M⁻² L⁻² T⁶ A³] (D) [M⁻¹ L⁻² T⁴ A²]

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