Identify the pair of physical quantities that have same dimensions
  • A
    velocity gradient and decay constant
  • B
    wien's constant and Stefan constant
  • C
    angular frequency and angular momentum
  • D
    wave number and Avogadro number
JEE MAIN 2022, 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
    Using screw gauge of pitch $0.1$ $cm$ and $50$ divisions on its circular scale, the thickness of an object is measured. It should correctly be recorded as 
    View Solution
  • 2
    The frequency of vibration of string is given by $\nu = \frac{p}{{2l}}{\left[ {\frac{F}{m}} \right]^{1/2}}$. Here $p$ is number of segments in the string and $l$ is the length. The dimensional formula for $m$ will be
    View Solution
  • 3
    If $97.52$ is divided by $2.54$, the correct result in terms of significant figures is
    View Solution
  • 4
    The time dependence of a physical quantity $P$ is given by $ P = P_0 exp^{(-\alpha t^{2})} $ where $\alpha$ is a constant and $t$ is time. The constant $\alpha$ 
    View Solution
  • 5
    Durring Searle's experiment, zero of the Vernier scale lies between $3.20 \times 10^{-2} m$ and $3.25 \times 10^{-2} m$ of the main scale. The $20^{\text {th }}$ division of the Vernier scale exactly coincides with one of the main scale divisions. When an additional load of $2 \ kg$ is applied to the wire, the zero of the Vernier scale still lies between $3.20 \times 10^{-2} m$ and $3.25 \times 10^{-2} m$ of the main scale but now the $45^{\text {th }}$ division of Vernier scale coincides with one of the main scale divisions. The length of the thin metallic wire is $2 m$. and its cross-sectional area is $8 \times 10^{-7} m ^2$. The least count of the Vernier scale is $1.0 \times 10^{-5} m$. The maximum percentage error in the Young's modulus of the wire is
    View Solution
  • 6
    The diameter and height of a cylinder are measured by a meter scale to be $12.6 \pm 0.1\, cm$ and $34.2  \pm  0.1\, cm$, respectively. What will be the value of its volume in appropriate significant figures?
    View Solution
  • 7
    The result after adding $3.8 \times 10^{-6}$ with $4.2 \times 10^{-5}$ with due regard to  significant figures is-
    View Solution
  • 8
    The nuclear cross-section is measured in barn, it is equal to
    View Solution
  • 9
    The equation of state of some gases can be expressed as $\left( {P + \frac{a}{{{V^2}}}} \right) = \frac{{b\theta }}{l}$ Where $P$ is the pressure, $V$ the volume, $\theta $ the absolute temperature and $a$ and $b$ are constants. The dimensional formula of $a$ is
    View Solution
  • 10
    Which of the following is not equal to watt
    View Solution