Which of the following is a dimensional constant?
  • A
    Gravitational constant
  • B
    Relative density
  • C
    Refractive index
  • D
    Poisson ratio
AIPMT 1995, 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
    In the equation $y = pq$ $tan\,(qt)$, $y$ represents position, $p$ and $q$ are unknown physical quantities and $t$ is time. Dimensional formula of $p$ is
    View Solution
  • 2
    $A, B, C$ and $D$ are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation $AD = C\, ln\, (BD)$ holds true. Then which of the combination is not a meaningful quantity ?
    View Solution
  • 3
    Dimension of $\frac{1}{\mu_0 \varepsilon_0}$ should be equal to
    View Solution
  • 4
    The Bernoulli's equation is given by $p +\frac{1}{2} \rho v ^{2}+ h \rho g = k$

    where $p =$ pressure, $\rho =$ density, $v =$ speed, $h =$ height of the liquid column, $g=$ acceleration due to gravity and $k$ is constant. The dimensional formula for $k$ is same as that for

    View Solution
  • 5
    If error in measuring diameter of a circle is $4\%$, the error in radius of the circle would be
    View Solution
  • 6
    If the length of a cylinder is $l=(4.00 \pm 0.01) cm$, radius $r =(0.250 \pm 0.001) \;cm$ and mass $m =6.25 \pm 0.01\; g$. Calculate the percentage error in determination of density.
    View Solution
  • 7
    The resistance $\mathrm{R}=\frac{\mathrm{V}}{\mathrm{I}}$ where $\mathrm{V}=(200 \pm 5) \mathrm{V}$ and $I=(20 \pm 0.2) A$, the percentage error in the measurement of $R$ is :
    View Solution
  • 8
    The dimensions of electric potential are
    View Solution
  • 9
    Match the following two coloumns
      Column $-I$   Column $-II$
    $(A)$ Electrical resistance $(p)$ $M{L^3}{T^{ - 3}}{A^{ - 2}}$
    $(B)$ Electrical potential $(q)$ $M{L^2}{T^{ - 3}}{A^{ - 2}}$
    $(C)$ Specific resistance $(r)$ $M{L^2}{T^{ - 3}}{A^{ - 1}}$
    $(D)$ Specific conductance $(s)$ None of these
    View Solution
  • 10
    In an experiment to determine the acceleration due to gravity $g$, the formula used for the time period of a periodic motion is $T=2 \pi \sqrt{\frac{7(R-r)}{5 g}}$. The values of $R$ and $r$ are measured to be $(60 \pm 1) \mathrm{mm}$ and $(10 \pm 1) \mathrm{mm}$, respectively. In five successive measurements, the time period is found to be $0.52 \mathrm{~s}, 0.56 \mathrm{~s}, 0.57 \mathrm{~s}, 0.54 \mathrm{~s}$ and $0.59 \mathrm{~s}$. The least count of the watch used for the measurement of time period is $0.01 \mathrm{~s}$. Which of the following statement($s$) is(are) true?

    ($A$) The error in the measurement of $r$ is $10 \%$

    ($B$) The error in the measurement of $T$ is $3.57 \%$

    ($C$) The error in the measurement of $T$ is $2 \%$

    ($D$) The error in the determined value of $g$ is $11 \%$

    View Solution