Dimensions of stress are
Dimensions of stress are
- [NEET 2020]
- A
$\left[ M L ^{-1} T ^{-2}\right]$
- B
$\left[ M L T ^{-2}\right]$
- C
$\left[ M L ^{2} T ^{-2}\right]$
- D
$\left[ M L ^{0} T ^{-2}\right]$
Similar Questions
The equation of state of some gases can be expressed as $\left( {P + \frac{a}{{{V^2}}}} \right) = \frac{{b\theta }}{l}$ Where $P$ is the pressure, $V$ the volume, $\theta $ the absolute temperature and $a$ and $b$ are constants. The dimensional formula of $a$ is
The equation of state of some gases can be expressed as $\left( {P + \frac{a}{{{V^2}}}} \right) = \frac{{b\theta }}{l}$ Where $P$ is the pressure, $V$ the volume, $\theta $ the absolute temperature and $a$ and $b$ are constants. The dimensional formula of $a$ is
- [AIPMT 1996]
Match List $I$ with List $II$
List $I$
List $II$
$A$ Spring constant
$I$ $(T ^{-1})$
$B$ Angular speed
$II$ $(MT ^{-2})$
$C$ Angular momentum
$III$ $(ML ^2)$
$D$ Moment of Inertia
$IV$ $(ML ^2 T ^{-1})$
Choose the correct answer from the options given below
Match List $I$ with List $II$
| List $I$ | List $II$ |
| $A$ Spring constant | $I$ $(T ^{-1})$ |
| $B$ Angular speed | $II$ $(MT ^{-2})$ |
| $C$ Angular momentum | $III$ $(ML ^2)$ |
| $D$ Moment of Inertia | $IV$ $(ML ^2 T ^{-1})$ |
Choose the correct answer from the options given below
- [JEE MAIN 2023]
From the equation $\tan \theta = \frac{{rg}}{{{v^2}}}$, one can obtain the angle of banking $\theta $ for a cyclist taking a curve (the symbols have their usual meanings). Then say, it is
From the equation $\tan \theta = \frac{{rg}}{{{v^2}}}$, one can obtain the angle of banking $\theta $ for a cyclist taking a curve (the symbols have their usual meanings). Then say, it is
Inductance $L$ can be dimensionally represented as
Inductance $L$ can be dimensionally represented as
- [AIPMT 1989]
A function $f(\theta )$ is defined as $f(\theta )\, = \,1\, - \theta + \frac{{{\theta ^2}}}{{2!}} - \frac{{{\theta ^3}}}{{3!}} + \frac{{{\theta ^4}}}{{4!}} + ...$ Why is it necessary for $f(\theta )$ to be a dimensionless quantity ?
A function $f(\theta )$ is defined as $f(\theta )\, = \,1\, - \theta + \frac{{{\theta ^2}}}{{2!}} - \frac{{{\theta ^3}}}{{3!}} + \frac{{{\theta ^4}}}{{4!}} + ...$ Why is it necessary for $f(\theta )$ to be a dimensionless quantity ?