(3) If the dimensions of e/(4πε0hc), where ‘e’ is electronic charge, ε0 is absolute electrical permittivity of free space, h is Planck’s constant and c is the speed of light in vacum can be expressed of the form MaLbTc. Find the value of a*b*c.
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Explanation:
Planck's constant (h) has joule-seconds unit, dimensions are =[ML
2
T
−1
]
Electron charge (e) will have [TI]
Dimension for ε
0
is [M
−1
L
−3
T
4
I
2
]
Dimensions for
4πε
0
hc
e
2
will be [M
0
L
0
T
0
].
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