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Question: The radius of the 4<sup>th</sup> Bohr orbit is 0.864 nm. The de Broglie wavelength of the electron i...

The radius of the 4th Bohr orbit is 0.864 nm. The de Broglie wavelength of the electron in that orbit is –

A

13.297 Å

B

1.3565 nm

C

1.3291 pm

D

0.1329 nm

Answer

1.3565 nm

Explanation

Solution

2p rn = nl

Ž l = 2πrnn=2×3.14×0.8644\frac{2\pi r_{n}}{n} = \frac{2 \times 3.14 \times 0.864}{4} nm

= 1.3565 nm