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The Bohr Radius is Given by a 0 = ∈ 0 H 2 π M E 2 . Verify that the Rhs Has Dimensions of Length. - Physics

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प्रश्न

The Bohr radius is given by  `a_0 = (∈_0h^2)/{pime^2}`. Verify that the RHS has dimensions of length.

टिप्पणी लिखिए

उत्तर

The dimensions of ε0 can be derived from the formula given below:
`a = (epsilon_0h^2)/(pime^2) = (A^2T^0(ML^2 T^-1)^2)/(L^2ML^-2 (AT)^2)`

`=(M^2L^2T^-2)/(M^2L^3T^-2) = L`
Clearly, a0 has the dimensions of length.

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अध्याय 21: Bohr’s Model and Physics of Atom - Exercises [पृष्ठ ३८४]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
अध्याय 21 Bohr’s Model and Physics of Atom
Exercises | Q 1 | पृष्ठ ३८४

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Mass of electron = 9.1 x 10-31kg

Charge on the electron = 1.6 x 10-19 C

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Permittivity of free space = 8.85 x 10-12 C2/Nm2


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