The dimensional formula of angular impulse is:
  • A$\left[\mathrm{M} \mathrm{L}^2 \mathrm{~T}^1\right]$
  • B$\left[\mathrm{M} \mathrm{L}^2 \mathrm{~T}^2\right]$
  • C$\left[\mathrm{ML} \mathrm{T}{ }^{-1}\right]$
  • D$\left[\mathrm{M} \mathrm{L}^2 \mathrm{~T}^{-1}\right]$
JEE MAIN 2024, Diffcult
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
    If $e$ is the charge, $V$ the potential difference, $T$ the temperature, then the units of $\frac{{eV}}{T}$ are the same as that of
    View Solution
  • 2
    Sometimes it is convenient to construct a system of units so that all quantities can be expressed in terms of only one physical quantity. In one such system, dimensions of different quantities are given in terms of a quantity $X$ as follows: [position $]=\left[X^\alpha\right] ;[$ speed $]=\left[X^\beta\right]$; [acceleration $]=\left[X^{ p }\right]$; [linear momentum $]=\left[X^{ q }\right]$; [force $]=\left[X^{ I }\right]$. Then -

    $(A)$ $\alpha+p=2 \beta$

    $(B)$ $p+q-r=\beta$

    $(C)$ $p-q+r=\alpha$

    $(D)$ $p+q+r=\beta$

    View Solution
  • 3
    Newton-second is the unit of
    View Solution
  • 4
    The diameter of a sphere is measured using a vernier caliper whose $9$ divisions of main scale are equal to $10$ divisions of vernier scale. The shortest division on the main scale is equal to $1 \mathrm{~mm}$. The main scale reading is $2 \mathrm{~cm}$ and second division of vernier scale coincides with a division on main scale. If mass of the sphere is $8.635 \mathrm{~g}$, thedensity of the sphere $1 \mathrm{~s}$ :
    View Solution
  • 5
    The unit of surface tension in $SI$ system is
    View Solution
  • 6
    If the velocity of light $c$, universal gravitational constant $G$ and planck's constant $h$ are chosen as fundamental quantities. The dimensions of mass in the new system is
    View Solution
  • 7
    The ratio of the dimension of Planck's constant and that of moment of inertia is the dimension of
    View Solution
  • 8
    A student uses a simple pendulum of exactly $1 \mathrm{~m}$ length to determine $\mathrm{g}$, the acceleration due to gravity. He uses a stop watch with the least count of $1 \mathrm{sec}$ for this and records $40$ seconds for $20$ oscillations. For this observation, which of the following statement$(s)$ is (are) true?

    $(A)$ Error $\Delta T$ in measuring $T$, the time period, is $0.05$ seconds

    $(B)$ Error $\Delta \mathrm{T}$ in measuring $\mathrm{T}$, the time period, is $1$ second

    $(C)$ Percentage error in the determination of $g$ is $5 \%$

    $(D)$ Percentage error in the determination of $g$ is $2.5 \%$

    View Solution
  • 9
    $Assertion$ : The dimensional formula for relative velocity is same as that of the change in velocity.

    $Reason$ : Relative velocity of $P$  w.r.t. $Q$ is the ratio of velocity of $P$ and that of $Q$.

    View Solution
  • 10
    A dimensionless quantity
    View Solution