MCQ
The dimensional formula of angular velocity is
  • ${M^0}{L^0}{T^{ - 1}}$
  • B
    $ML{T^{ - 1}}$
  • C
    ${M^0}{L^0}{T^1}$
  • D
    $M{L^0}{T^{ - 2}}$

Answer

Correct option: A.
${M^0}{L^0}{T^{ - 1}}$
a
(a) Angular velocity = $\frac{\theta }{t},$

[$\omega$]$ = \frac{{[{M^0}{L^0}{T^0}]}}{{[T]}} = [{T^{ - 1}}]$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

If initial charge on all the capacitors were zero, work done by the battery in the circuit shown is ........... $mJ$
The ratio of areas within the electron orbits for the first excited state to the ground state for hydrogen atom is
Three prisms $1, 2$ and $3$ have the prism angle $A = 60^o$, but their refractive indices are respectively $1.4, 1.5$ and $1.6.$ If $\delta_1, \delta_2, \delta_3$ be their respective angles of deviation then
The magnitude and direction of the current in the circuit shown will be
A taut string at both ends vibrates in its $n^{th}$ overtone. The distance between adjacent Node and Antinode is found to be $'d'$. If the length of the string is $L,$ then
A condenser of capacity $C$ is charged to a potential difference of $V_1$ . The plates of the condenser are then connected to an ideal inductor of inductance $L$. The current through the inductor when the potential difference across the condenser reduces to $V_2$ is
A player kicks a football with an initial speed of $25\, {ms}^{-1}$ at an angle of $45^{\circ}$ from the ground. What are the maximum height and the time taken by the football to reach at the highest point during motion ? (Take g $=10 \,{ms}^{-2}$ )
A uniform rod of mass $'m'$ and length $'2l'$ is balanced on triangular prism. Now length $\frac {l}{2}$ of rod is cut from one end and placed over the  shortened part such that the ends meet. The initial angular acceleration is
A simple pendulum with length $100\,cm$ and bob of mass $250\,g$ is executing S.H.M. of amplitude $10\,cm$. The maximum tension in the string is found to be $\frac{x}{40}\,N$. The value of $x$ is $..........$.
A system consists of $3$  particles each of mass $m$ and located at $(1, 1), (2, 2), (3, 3)$. The co-ordinate of the centre of mass are