Question

which of the following is dimensionless​

Answer 1

Explanation:

$\sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ { \sqrt[ \sqrt{ \sqrt{ \sqrt[ \sqrt{ \sqrt[ \sqrt[ \sqrt[ \cos( \tan( \cot( \sec( \sec( \csc( \csc( \sec( \tan( \tan( \cos( \sin( { { { \frac{ \sqrt{ \sqrt[ \sqrt[ { { \frac{ \sqrt{ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[?]{?} ]{?} ]{?} ]{?} ]{?} ]{?} ]{?} ]{?} } }{?} }^{2} }^{?} \times \frac{?}{?} ]{?} ]{?} } }{?} }^{2} }^{?} }^{?} \times \frac{?}{?} ) ) ) ) ) ) ) ) ) ) ) ) ]{?} ]{?} ]{?} \times \frac{?}{?} } ]{?} } } ]{?} }^{?} ]{?} \times \frac{?}{?} \times \frac{?}{?} ]{?} ]{?} ]{?} \times \frac{?}{?} ]{?} ]{?} \times \frac{?}{?} \times \frac{?}{?}$

Answer 2

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 [ML

2

T

2

]. The ratio

Work

Energy

will be a dimensionless quantity.