If $L$ denotes the inductance of an inductor through which a current $i$ is flowing, the dimensions of $L{I^2}$ are
  • A$M{L^2}{T^{ - 2}}$
  • BNot expressible in $MLT$
  • C$ML{T^{ - 2}}$
  • D${M^2}{L^2}{T^{ - 2}}$
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 value of Planck's constant is
    View Solution
  • 2
    In a screw gauge, there are $100$ divisions on the circular scale and the main scale moves by $0.5\,mm$ on a complete rotation of the circular scale. The zero of circular scale lies $6$ divisions below the line of graduation when two studs are brought in contact with each other. When a wire is placed between the studs, $4$ linear scale divisions are clearly visible while $46^{\text {th }}$ division the circular scale coincide with the reference line. The diameter of the wire is $...........\times 10^{-2}\,mm$
    View Solution
  • 3
    The period of oscillation of a simple pendulum is given by $T = 2\pi \sqrt {\frac{l}{g}} $ where $l$ is about $100 \,cm$ and is known to have $1\,mm$ accuracy. The period is about $2\,s$. The time of $100$ oscillations is measured by a stop watch of least count $0.1\, s$. The percentage error in $g$ is ......... $\%$
    View Solution
  • 4
    In terms of resistance $R$ and time $T$, the dimensions of ratio $\frac{\mu } {\varepsilon }$ of the permeability $\mu $ and permittivity $\varepsilon $  is
    View Solution
  • 5
    A far off planet is estimated to be at a distance $D$ from the earth. If its diametrically opposite extremes subtend an angle $\theta$ at an observatory situated on the earth, the approximate diameter of the planet is ............. 
    View Solution
  • 6
    The diameter and height of a cylinder are measured by a meter scale to be $12.6 \pm 0.1\, cm$ and $34.2  \pm  0.1\, cm$, respectively. What will be the value of its volume in appropriate significant figures?
    View Solution
  • 7
    Diameter of a steel ball is measured using a Vernier callipers which has divisions of $0. 1\ cm$ on its main scale $(MS)$ and $10$ divisions of its vernier scale $(VS)$ match $9$ divisions on the main scale. Three such measurements for a ball are given as
        S.No.      $MS\ (cm)$ $VS$ divisions
       $(1)$      $0.5$       $8$
       $(2)$     $0.5$       $4$
       $(3)$     $0.5$       $6$
    If the zero error is $- 0.03\ cm,$ then mean corrected diameter is  $........... cm$
    View Solution
  • 8
    Match List $I$ with List $II$

    LIST$-I$ LIST$-II$
    $(A)$  Torque $(I)$    $ML ^{-2} T ^{-2}$
    $(B)$   Stress $(II)$   $ML ^2 T ^{-2}$
    $(C)$   Pressure of gradient $(III)$   $ML ^{-1} T ^{-1}$
    $(D)$   Coefficient of viscosity $(IV)$   $ML ^{-1} T ^{-2}$

    Choose the correct answer from the options given below

    View Solution
  • 9
    If the constant of gravitation $(G)$, Planck's constant $(h)$ and the velocity of light $(c)$ be chosen as fundamental units. The dimension of the radius of gyration is
    View Solution
  • 10
    The length and width of a rectangular room are measured to be $3.95 \pm 0.05 \,m$ and $3.05 \pm 0.05 \,m$, respectively. The area of the floor is .................... $m^2$
    View Solution