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?
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?
- [JEE MAIN 2019]
- A
$[{M^{ - 2}}\,{L^0}\,{T^{ - 4}}\,{A^{ - 2}}]$
- B
$[{M^{ - 3}}\,{L^{-2}}\,{T^8}\,{A^{ 4}}]$
- C
$[{M^{ - 2}}\,{L^{-2}}\,{T^6}\,{A^3}]$
- D
$[{M^{ - 1}}\,{L^{-2}}\,{T^4}\,{A^2}]$
Similar Questions
The dimension of the ratio of magnetic flux and the resistance is equal to that of :
The dimension of the ratio of magnetic flux and the resistance is equal to that of :
The potential energy $u$ of a particle varies with distance $x$ from a fixed origin as $u=\frac{A \sqrt{x}}{x+B}$, where $A$ and $B$ are constants. The dimensions of $A$ and $B$ are respectively
The potential energy $u$ of a particle varies with distance $x$ from a fixed origin as $u=\frac{A \sqrt{x}}{x+B}$, where $A$ and $B$ are constants. The dimensions of $A$ and $B$ are respectively
The frequency of vibration $f$ of a mass $m$ suspended from a spring of spring constant $K$ is given by a relation of this type $f = C\,{m^x}{K^y}$; where $C$ is a dimensionless quantity. The value of $x$ and $y$ are
The frequency of vibration $f$ of a mass $m$ suspended from a spring of spring constant $K$ is given by a relation of this type $f = C\,{m^x}{K^y}$; where $C$ is a dimensionless quantity. The value of $x$ and $y$ are
- [AIPMT 1990]
The dimensions of $K$ in the equation $W = \frac{1}{2}\,\,K{x^2}$ is
The dimensions of $K$ in the equation $W = \frac{1}{2}\,\,K{x^2}$ is
If $x$ and $a$ stand for distance then for what value of $n$ is given equation dimensionally correct the eq. is $\int {\frac{{dx}}{{\sqrt {{a^2}\, - \,{x^n}} \,}}\, = \,{{\sin }^{ - 1}}\,\frac{x}{a}} $
If $x$ and $a$ stand for distance then for what value of $n$ is given equation dimensionally correct the eq. is $\int {\frac{{dx}}{{\sqrt {{a^2}\, - \,{x^n}} \,}}\, = \,{{\sin }^{ - 1}}\,\frac{x}{a}} $