The energy of a photon of light with wavelength 5000 mathringA is approximately 2.5 eV. This way the energy of an X -ray photon with wavelength 1 mathringA would be

Question

The energy of a photon of light with wavelength 5000 mathringA is approximately 2.5 eV. This way the energy of an X -ray photon with wavelength 1 mathringA would be (A) 2.5 / 5000 eV (B) 2.5 /(5000)2 eV (C) 2.5 × 5000 eV (D) 2.5 ×(5000)2 eV

Tardigrade Admin · Accepted Answer

E propto (1/λ) ⇒ (2.5/E') =(1/5000) ⇒ E'=(2.5) × 5000 eV

Q. The energy of a photon of light with wavelength $5000 \overset{˚}{A}$ is approximately $2.5 e V$ . This way the energy of an $X$ -ray photon with wavelength $1 \overset{˚}{A}$ would be

$2.5/5000 e V$

$2.5/ (5000)^{2} e V$

$2.5 \times 5000 e V$

$2.5 \times (5000)^{2} e V$

$E \propto \frac{1}{λ}$
$\Rightarrow \frac{2.5}{E ^{'}} = \frac{1}{5000}$
$\Rightarrow E^{'} = (2.5) \times 5000 e V$

Q. The energy of a photon of light with wavelength 5000A˚ is approximately 2.5eV. This way the energy of an X -ray photon with wavelength 1A˚ would be

2.5/5000eV

2.5/(5000)2eV

2.5×5000eV

2.5×(5000)2eV