The potential energy of a point particle is given by the expression $V(x)=-\alpha x+\beta \sin (x / \gamma)$. A dimensionless combination of the constants $\alpha, \beta$ and $\gamma$ is
The potential energy of a point particle is given by the expression $V(x)=-\alpha x+\beta \sin (x / \gamma)$. A dimensionless combination of the constants $\alpha, \beta$ and $\gamma$ is
- [KVPY 2012]
- A
$\frac{\alpha}{\beta \gamma}$
- B
$\frac{\alpha^2}{\beta \gamma}$
- C
$\frac{\gamma}{\alpha \beta}$
- D
$\frac{\alpha \gamma}{\beta}$
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In the following list, the only pair which have different dimensions, is
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Which one has the dimensions different from the remaining three
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The dimensional formula $[ML^0T^{-3}]$ is more closely associated with
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A force is represented by $\mathrm{F}=a \mathrm{x}^2+\mathrm{bt}^{1 / 2}$. Where $\mathrm{x}=$ distance and $\mathrm{t}=$ time. The dimensions of $\mathrm{b}^2 / \mathrm{a}$ are :
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- [JEE MAIN 2024]
If the dimensions of a physical quantity are given by $M^aL^bT^c$ ,then physical quantity will be
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- [AIPMT 2009]