The circumference of the second orbit of an atom or ion having a single electron is 4× 10- 9 m . The de Broglie wavelength of an electron revolving in this orbit should be

Question

The circumference of the second orbit of an atom or ion having a single electron is 4× 10- 9 m . The de Broglie wavelength of an electron revolving in this orbit should be (A) 2× 10- 9m (B) 4× 10- 9m (C) 8× 10- 9m (D) 1× 10- 9m

Tardigrade Admin · Accepted Answer

2π r=nλ ∴ λ =(2 π r/n)=(4 × text10- 9/2)=2× text10- 9 text m

Q. The circumference of the second orbit of an atom or ion having a single electron is $4 \times 1 0^{- 9} m$ . The de Broglie wavelength of an electron revolving in this orbit should be

$2 \times 1 0^{- 9} m$

$4 \times 1 0^{- 9} m$

$8 \times 1 0^{- 9} m$

$1 \times 1 0^{- 9} m$

$2 π r = nλ$
$∴ λ = \frac{2 π r}{n} = \frac{4 \times 10 ^{- 9}}{2} = 2 \times 10^{- 9} m$

Q. The circumference of the second orbit of an atom or ion having a single electron is 4×10−9m . The de Broglie wavelength of an electron revolving in this orbit should be

2×10−9m

4×10−9m

8×10−9m

1×10−9m