If the formula, $X=3 Y Z^{2}, X$ and $Z$ have dimensions of capacitance and magnetic induction. The dimensions of $Y$ in $M K S Q$ system are
  • A$\left[M^{-3} L^{-2} T^{4} Q^{4}\right]$
  • B$\left[M L^{2} T^{8} Q^{4}\right]$
  • C$\left[M^{-2} L^{-3} T^{2} Q^{4}\right]$
  • D$\left[M^{-2} L^{-2} T Q^{2}\right]$
AIIMS 2017, Medium
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    The dimensions of stress are equal to
    View Solution
  • 2
    The dimensional formula of permeability of free space $\mu_0$ is
    View Solution
  • 3
    The total plane angle subtended by a circle at its centre is ......... $rad$
    View Solution
  • 4
    If the unit of force is $1$ kilo newton, the length is $1 \,km$, and time is $100$ second what will be the unit of mass .............. $kg$
    View Solution
  • 5
    A physical quantity $\vec{S}$ is defined as $\vec{S}=(\vec{E} \times \vec{B}) / \mu_0$, where $\vec{E}$ is electric field, $\vec{B}$ is magnetic field and $\mu_0$ is the permeability of free space. The dimensions of $\vec{S}$ are the same as the dimensions of which of the following quantity (ies)?

    $(A)$ $\frac{\text { Energy }}{\text { charge } \times \text { current }}$

    $(B)$ $\frac{\text { Force }}{\text { Length } \times \text { Time }}$

    $(C)$ $\frac{\text { Energy }}{\text { Volume }}$

    $(D)$ $\frac{\text { Power }}{\text { Area }}$

    View Solution
  • 6
    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
    View Solution
  • 7
    The International Avogadro Coordination project created the world's most perfect sphere using Silicon in its crystalline form. The diameter of the sphere is $9.4 \,cm$ with an uncertainty of $0.2 \,nm$. The atoms in the crystals are packed in cubes of side $a$. The side is measured with a relative error of $2 \times 10^{-9}$, and each cube has $8$ atoms in it. Then, the relative error in the mass of the sphere is closest to (assume molar mass of Silicon and Avogadro's number to be known precisely)
    View Solution
  • 8
    The surface tension of a liquid is $70\,dyne/cm$. In $MKS$ system its value is 
    View Solution
  • 9
    A cylindrical wire of mass $(0.4 \pm 0.01)\,g$ has length $(8 \pm 0.04)\,cm$ and radius $(6 \pm 0.03)\,mm$.The maximum error in its density will be $......\,\%$
    View Solution
  • 10
    A body travels uniformly a distance of $ (13.8 \pm 0.2)\,m$ in a time $(4.0 \pm 0.3)\, s$. The percentage error is  ......... $\%$
    View Solution