Question

mass of a proton having a wavelength of 4.2A° is​

Answer 1

Answer:

Mass of proton for given wavelength is $4.87*10^{-22} kg$

Explanation:

It is given that λ$=4.2A^{0}$

We know the formula $e=mc^{2}$ and $e=\frac{hc}{lambda}$

$m$ is mass

$c$ is speed of light

$m$ is mass of proton

Using the value of plank's constant as $=6.626*10^{-34} kg$

$c=3*10^{8} m/s$

Putting values, we get

$m=4.78*10^{-33} kg$

Hence, the required mass is Option (1).

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Answer 2

Concept:

The "quantum of electromagnetic radiation" is called a photon. It is, in other words, the tiniest and most basic component of electromagnetic radiation. A photon is a stable particle that has no mass and no electric charge.

Given:

Wavelength (λ) = 4.2 A° = 4.2 * 10⁻¹⁰ m

Find:

The mass of the proton having a wavelength of 4.2 A° of is?

Solution:

We know the formula that can be written as:

e = mc²

where m is the mass of a proton.

c is the speed of light = 3 * 10⁸ m/s

Also, e = hc / λ

Using the value of Planck's constant as 6.626 * 10⁻³⁴ Kg.

By substituting the given values in the above expression, we can calculate the mass of the proton as follows below:

hc / λ = mc²

h/λc = m

(6.626 * 10⁻³⁴ Kg) / (4.2 * 10⁻¹⁰ m *  3 * 10⁸ m/s) = m

0.526 * 10⁻³⁴ * 10² Kg = m

0.526 * 10⁻³² = m

5.26 * 10⁻³³ Kg = m

Thus, the mass of a photon having a wavelength of 4.2 A° is 5.26 * 10⁻³³ Kg.

Hence, none of the given options are correct.

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