QJEEM20Phb6ed: JEE Main 2020 Physics - Class 11 JEEM20Phb6ed Solution: A quantity f is given by where c is speed of light, G universal …

Question

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A quantity f is given by

f = \sqrt {{{h{c^5}} \over G}}

where c is speed of light, G universal gravitational constant and h is the Planck's constant. Dimension of f is that of :

Accepted Answer

[h] = M¹L²T^–1
[C] = L¹T^–1
[G] = M^–1L³T^–2

[f] =

\sqrt {{{M{L^2}{T^{ - 1}} \times {L^5}{T^{ - 5}}} \over {{M^{ - 1}}{L^3}{T^{ - 2}}}}}

= M¹L²T^–2

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