Identify the pair which has different dimensions
  • A
    Planck's constant and angular momentum
  • B
    Impulse and linear momentum
  • C
    Angular momentum and frequency
  • D
    Pressure and Young's modulus
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
    Let us consider a system of units in which mass and angular momentum are dimensionless. If length has dimension of $L$, which of the following statement ($s$) is/are correct ?

    $(1)$ The dimension of force is $L ^{-3}$

    $(2)$ The dimension of energy is $L ^{-2}$

    $(3)$ The dimension of power is $L ^{-5}$

    $(4)$ The dimension of linear momentum is $L ^{-1}$

    View Solution
  • 2
    If the percentage errors in measuring the length and the diameter of a wire are $0.1 \%$ each. The percentage error in measuring its resistance will be:
    View Solution
  • 3
    An experiment measures quantities $a, b$ and $c$, and quantity $X$ is calculated from $X=a b^{2} / c^{3}$. If the percentage error in $a$, $b$ and $c$ are $\pm 1 \%, \pm 3 \%$ and $\pm 2 \%$, respectively, then the percentage error in $X$ will be
    View Solution
  • 4
    $Joule-second$ is the unit of
    View Solution
  • 5
    An expression for a dimensionless quantity $P$ is given by $P=\frac{\alpha}{\beta} \log _{e}\left(\frac{ kt }{\beta x }\right)$; where $\alpha$ and $\beta$ are constants, $x$ is distance ; $k$ is Boltzmann constant and $t$ is the temperature. Then the dimensions of $\alpha$ will be
    View Solution
  • 6
    Newton-second is the unit of
    View Solution
  • 7
    $10$ divisions on the main scale of a Vernier calliper coincide with $11$ divisions on the Vernier scale. If each division on the main scale is of $5$ units, the least count of the instrument is :
    View Solution
  • 8
    A person measures the depth of a well by measuring the time interval between dropping a stone and receiving the sound of impact with the bottom of the well. The error in his measurement of time is $\delta \mathrm{T}=0.01$ seconds and he measures the depth of the well to be $\mathrm{L}=20$ meters. Take the acceleration due to gravity $\mathrm{g}=10 \mathrm{~ms}^{-2}$ and the velocity of sound is $300 \mathrm{~ms}^{-1}$. Then the fractional error in the measurement, $\delta \mathrm{L} / \mathrm{L}$, is closest to
    View Solution
  • 9
    The radius ( $\mathrm{r})$, length $(l)$ and resistance $(\mathrm{R})$ of a metal wire was measured in the laboratory as

    $\mathrm{r}=(0.35 \pm 0.05) \mathrm{cm}$

    $\mathrm{R}=(100 \pm 10) \mathrm{ohm}$

    $l=(15 \pm 0.2) \mathrm{cm}$

    The percentage error in resistivity of the material of the wire is :

    View Solution
  • 10
    The time dependence of a physical quantity $P$  is given by $P\, = \,{P_0}\,{e^{ - \alpha {t^2}}}$ where $\alpha $ is a constant and $t$ is the time then constant $\alpha $ is
    View Solution