Which of the following is dimensionless?

Force/acceleration

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Velocity/acceleration

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Volume/area

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Energy/work

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Solution

The correct option is D Energy/work
A dimensionless quantity is the one for which no physical dimension is assigned. It is also known as a bare, pure, or scalar quantity or also as a quantity of dimension one.

Work and energy both are having the same dimensions as $[M L^{2} T^{2}]$ . The ratio $\frac{E n e r g y}{W o r k}$ will be a dimensionless quantity.

The correct option is D.

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Similar questions

No	Column 1	Column 2	Column 3
1	Negative acceleration	Body has constant velocity	A car initially at rest acquires velocity $50 k m / h$ in $10$ second.
2	Positive acceleration	Velocity of a body decreases	A vehicle moving with a velocity $25 m / s$
3	Zero acceleration	Velocity of a body increases.	A vehicle moving with a speed of $10 m / s$ stops after $5$ second.

Which of the following is correct about work?

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