The equation of the stationary wave is

$y = 2A\,\,\sin \,\left( {\frac{{2\pi ct}}{\lambda }} \right)\,\cos \,\,\,\left( {\frac{{2\pi x}}{\lambda }} \right)$

Which statement is not true?

  • AThe unit of $ct$ is same as that of $\lambda $
  • BThe unit of $x$ is same as that of $\lambda $
  • CThe unit of $2\pi c/\lambda $ is same as that of $2\pi x/\lambda t$
  • DThe unit of $c/\lambda $ is same as that of $x/\lambda $
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
    The dimensions of calorie are
    View Solution
  • 2
    Which of the following physical quantities have the same dimensions?
    View Solution
  • 3
    The length of a cylinder is measured with a metre rod having least count $0.1 \;cm$. Its diameter is measured with vernier calipers having least count $0.01\; cm$. If the length and diameter of the cylinder are $5.0\; cm$ and $2.00\; cm$, respectively, then the percentage error in the calculated value of volume will be
    View Solution
  • 4
    Out of the following which pair of quantities do not have same dimensions
    View Solution
  • 5
    Given that $v$ is the speed, $r$ is radius and $g$ is acceleration due to gravity. Which of the following is dimensionless?
    View Solution
  • 6
    If $x = a/t + b/{t^2}+c,$, where $x$ is the distance travelled by the body in metres while $t$ is the time in seconds, then the units of $b$ are
    View Solution
  • 7
    Which is the correct unit for measuring nuclear radii
    View Solution
  • 8
    Which of the following relation cannot be deduced using dimensional analysis? [the symbols have their usual meanings]
    View Solution
  • 9
    What is the fractional error in $g$ calculated from $T = 2\pi \sqrt {l/g} $ ? Given fraction errors in $T$ and $l$ are $ \pm x$ and $ \pm y$ respectively?
    View Solution
  • 10
    The vernier constant of Vernier callipers is $0.1 \,mm$ and it has zero error of $(-0.05) \,cm$. While measuring diameter of a sphere, the main scale reading is $1.7 \,cm$ and coinciding vernier division is $5$. The corrected diameter will be ........... $\times 10^{-2} \,cm$
    View Solution