$A$ and $B$ possess unequal dimensional formula then following operation is not possible in any case:-
$A$ and $B$ possess unequal dimensional formula then following operation is not possible in any case:-
- A
$log (A -B)$
- B
$sin (A + Bx)$
- C
$e^{(AB)}$
- D
$\tan \left[ {\frac{A}{B}\left( {\frac{B}{A}n} \right)} \right]$
Similar Questions
Young's modulus of elasticity $Y$ is expressed in terms of three derived quantities, namely, the gravitational constant $G$, Planck's constant $h$ and the speed of light $c$, as $Y=c^\alpha h^\beta G^\gamma$. Which of the following is the correct option?
Young's modulus of elasticity $Y$ is expressed in terms of three derived quantities, namely, the gravitational constant $G$, Planck's constant $h$ and the speed of light $c$, as $Y=c^\alpha h^\beta G^\gamma$. Which of the following is the correct option?
- [IIT 2023]
Given below are two statements :
$Statement$ $(I)$ : Planck's constant and angular momentum have same dimensions.
$Statement$ $(II)$ : Linear momentum and moment of force have same dimensions.
In the light of the above statements, choose the correct answer from the options given below :
Given below are two statements :
$Statement$ $(I)$ : Planck's constant and angular momentum have same dimensions.
$Statement$ $(II)$ : Linear momentum and moment of force have same dimensions.
In the light of the above statements, choose the correct answer from the options given below :
- [JEE MAIN 2024]
If $L,\,C$ and $R$ represent inductance, capacitance and resistance respectively, then which of the following does not represent dimensions of frequency
If $L,\,C$ and $R$ represent inductance, capacitance and resistance respectively, then which of the following does not represent dimensions of frequency
- [IIT 1984]
The dimensional formula of permeability of free space $\mu_0$ is
The dimensional formula of permeability of free space $\mu_0$ is
- [AIPMT 1991]
Dimensional formula for pressure head is ............
Dimensional formula for pressure head is ............