In a relation $F = a \,sin\, k_1x + b \,sin\, k_2t$ where $F , x$ and $T$ denote the force,distance and time respectively. Units of $k _{1}$ and $k _{2}$ are respectively 
  • A$meter,s$
  • B$meter ^{-1}, s ^{-1}$
  • C$meter ^{-1}, s$
  • D$meter, s ^{-1}$
Easy
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 de-Broglie wavelength associated with a particle of mass $m$ and energy $E$ is $\mathrm{h} / \sqrt{2 m E}$ The dimensional formula for Planck's constant is:
    View Solution
  • 2
    A quantity measured repeatedly many times with an instrument. The readings are shown in figure where $T$ represent true value of the measurement. Which of the following measurement is imprecise but accurate ?
    View Solution
  • 3
    The units of modulus of rigidity are
    View Solution
  • 4
    To determine the Young's modulus of a wire, the formula is $Y = \frac{FL}{A\Delta L};$ where $L$ = length, $A = $area of cross-section of the wire, $\Delta L = $change in length of the wire when stretched with a force $F$. The conversion factor to change it from $CGS$ to $MKS$ system is .............. $10^{-1}\mathrm{N/m}^{2}$
    View Solution
  • 5
    A student measures the time period of $100$ oscillations of a simple pendulum four times. The data set is  $90\;s$ ,$91\;s $, $95\;s$ and $92\;s$. If the minimum division in the  measuring clock is $1\;s$, then the reported mean time should be
    View Solution
  • 6
    The dimension of $\frac{1}{{\sqrt {{\varepsilon _0}{\mu _0}} }}$ is that of
    View Solution
  • 7
    The length, breadth and thickness of a strip are $(10.0 \pm 0.1)\; cm ,(1.00 \pm 0.01) \;cm$ and $(0.100 \pm 0.001)\; cm$ respectively. The most probable error in its volume will be?
    View Solution
  • 8
    If $C$ and $L$ denote capacitance and inductance respectively, then the dimensions of $LC$ are
    View Solution
  • 9
    The position of a particle at time $t$ is given by the relation $x(t) = \left( {\frac{{{v_0}}}{\alpha }} \right)\,\,(1 - {e^{ - \alpha t}})$, where ${v_0}$ is a constant and $\alpha > 0$. The dimensions of ${v_0}$ and $\alpha $ are respectively
    View Solution
  • 10
    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