Given below are two statements :

Statement $(I)$ : Dimensions of specific heat is $\left[\mathrm{L}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-1}\right]$

Statement $(II)$ : Dimensions of gas constant is $\left[\mathrm{ML}^2 \mathrm{~T}^{-1} \mathrm{~K}^{-1}\right]$

  • AStatement $(I)$ is incorrect but statement $(II)$ is correct
  • B Both statement $(I)$ and statement $(II)$ are incorrect
  • CStatement $(I)$ is correct but statement $(II)$ is incorrect
  • DBoth statement $(I)$ and statement $(II)$ are correct
JEE MAIN 2024, 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
    One nanometre is equal to
    View Solution
  • 2
    Which of the following physical quantities do not have same dimensions?
    View Solution
  • 3
    The physical quantity which has the dimensional formula ${M^1}{T^{ - 3}}$ is
    View Solution
  • 4
    The unit of "impulse per unit area" is same as that of
    View Solution
  • 5
    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
  • 6
    A screw gauge gives the following reading when used to measure the diameter of a wire.

    Main scale reading : $0\ mm$

    Circular scale reading : $52\ divisions$

    Given that $1\ mm$ on main scale corresponds to $100$ divisions of the circular scale. The diameter of wire from the above data is:

    View Solution
  • 7
    Given that: $\lambda  = a\,\cos \,\left( {\frac{t}{p} - qx} \right)$ , where $t$ represents time in second and $x$ represents distance in metre. Which of the following statements is true?
    View Solution
  • 8
    The dimensional formula for a physical quantity $x$ is $\left[ M ^{-1} L ^{3} T ^{-2}\right]$. The errors in measuring the quantities $M , L$ and $T$ respectively are $2 \%, 3 \%$ and $4 \%$. The maximum percentage of error that occurs in measuring the quantity $x$ is
    View Solution
  • 9
    The quantity $X = \frac{{{\varepsilon _0}LV}}{t}$: ${\varepsilon _0}$ is the permittivity of free space, $L$ is length, $V$ is potential difference and $t$ is time. The dimensions of $X$ are same as that of
    View Solution
  • 10
    A student measured the diameter of a small  steel ball using a screw gauge of least count $0.001\, cm.$ The main scale reading is $5\, mm$ and zero of circular scale division coincides with $25$ divisions above the reference level. If screw gauge has a zero error of $-0.004 \,cm,$ the correct diameter of the ball is
    View Solution