The wavelength of a photon needed to remove a proton from a nucleus which is bound to the nucleus with 1 MeV energy is nearly

Question

The wavelength of a photon needed to remove a proton from a nucleus which is bound to the nucleus with 1 MeV energy is nearly (A) 1.2 nm (B) 1.2 × 10-3 nm (C) 1.2 × 10-6 nm (D) 1.2 × 101 nm

Tardigrade Admin · Accepted Answer

Here, E = 1 MeV = 106eV, h = 6.63 ×10-34 J s, c= 3×108 m s-1 ∴ hc = (6.63 × 10-34 × 3× 108/1.6 × 10-9) ≈ 1240 eV nm As E =(hc/λ) or λ = (hc/E) =( 1240 eV nm /106 eV) = 1.24 × 10-3 nm

Q. The wavelength of a photon needed to remove a proton from a nucleus which is bound to the nucleus with $1 M e V$ energy is nearly

$1.2 nm$

$1.2 \times 1 0^{- 3} nm$

$1.2 \times 1 0^{- 6} nm$

$1.2 \times 1 0^{1} nm$

Q. The wavelength of a photon needed to remove a proton from a nucleus which is bound to the nucleus with 1MeV energy is nearly

1.2nm

1.2×10−3nm

1.2×10−6nm

1.2×101nm

Here, E=1MeV=106eV, h=6.63×10−34Js, c=3×108ms−1 ∴hc=1.6×10−96.63×10−34×3×108​≈1240eVnm As E=λhc​ or λ=Ehc​=106eV1240eVnm​ =1.24×10−3nm

Q. The wavelength of a photon needed to remove a proton from a nucleus which is bound to the nucleus with $1 M e V$ energy is nearly

$1.2 nm$

$1.2 \times 1 0^{- 3} nm$

$1.2 \times 1 0^{- 6} nm$

$1.2 \times 1 0^{1} nm$