The dimensions of ${e^2}/4\pi {\varepsilon _0}hc$, where $e,\,{\varepsilon _0},\,h$ and $c$ are electronic charge, electric permittivity, Planck’s constant and velocity of light in vacuum respectively
  • A$[{M^0}{L^0}{T^0}]$
  • B$[{M^1}{L^0}{T^0}]$
  • C$[{M^0}{L^1}{T^0}]$
  • D$[{M^0}{L^0}{T^1}]$
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
    In a simple pendulum experiment for determination of acceleration due to gravity $(g)$, time taken for $20$ oscillations is measured by using a watch of $1$ second least count. The mean value of time taken comes out to be $30s$. The length of pendulum is measured by using a meter scale of least count $1\ mm$ and the value obtained is $55.0\ cm$. The percentage error in the determination of $g$ is close to $ ........... \%$
    View Solution
  • 2
    Which of the following is not the unit of energy
    View Solution
  • 3
    In an experiment four quantities $a, b, c$ and $d$ are measured with percentage error $1\%, 2\%, 3\%$ and $4\%$ respectively. Quantity $w$ is calculated as follows $w\, = \,\frac{{{a^4}{b^3}}}{{{c^2}\sqrt D }}$  error in the measurement of $w$ is .......... $\%$
    View Solution
  • 4
    Dimensions of kinetic energy are
    View Solution
  • 5
    A student performs an experiment of measuring the thickness of a slab with a vernier calliper whose $50$ divisions of the vernier scale are equal to $49$ divisions of the main scale. He noted that zero of the vernier scale is between $7.00\; cm$ and $7.05 \;cm$ mark of the main scale and $23^rd$ division of the vernier scale exactly coincides with the main scale. The measured value of the thickness of the given slab using the calliper will be
    View Solution
  • 6
    A travelling microscope is used to determine the refractive index of a glass slab. If $40$ divisions are there in $1 \; cm$ on main scale and $50$ Vernier scale divisions are equal to $49$ main scale divisions, then least count of the travelling microscope is $\dots \; \times 10^{-6} \; m$
    View Solution
  • 7
    Which of the following is a derived unit
    View Solution
  • 8
    If pressure $P$, velocity $V$ and time $T$ are taken as fundamental physical quantities, the dimensional formula of force is
    View Solution
  • 9
    Error in the measurement of radius of a sphere is $1\%$. The error in the calculated value of its volume is  ......... $\%$
    View Solution
  • 10
    If a calculated value $2.7465 \,g$ contains only three significant figures, the two insignificant digits in it are ............ 
    View Solution