The dimensions of pressure is equal to
The dimensions of pressure is equal to
- A
Force per unit volume
- B
Energy per unit volume
- C
Force
- D
Energy
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The dimensional formula for the modulus of rigidity is
The dimensional formula for the modulus of rigidity is
- [IIT 1982]
If $L , C$ and $R$ denote the inductance, capacitance and resistance respectively, the dimensional formula for $C ^{2} LR$ is
If $L , C$ and $R$ denote the inductance, capacitance and resistance respectively, the dimensional formula for $C ^{2} LR$ is
If the buoyant force $F$ acting on an object depends on its volume $V$ immersed in a liquid, the density $\rho$ of the liquid and the acceleration due to gravity $g$. The correct expression for $F$ can be
If the buoyant force $F$ acting on an object depends on its volume $V$ immersed in a liquid, the density $\rho$ of the liquid and the acceleration due to gravity $g$. The correct expression for $F$ can be
The equation of state of some gases can be expressed as $\left( {P + \frac{a}{{{V^2}}}} \right)\,(V - b) = RT$. Here $P$ is the pressure, $V$ is the volume, $T$ is the absolute temperature and $a,\,b,\,R$ are constants. The dimensions of $'a'$ are
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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 $\left[\mathrm{ML}^2 \mathrm{~T}^{-1} \mathrm{~K}^{-1}\right]$
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 $\left[\mathrm{ML}^2 \mathrm{~T}^{-1} \mathrm{~K}^{-1}\right]$
- [JEE MAIN 2024]