Question

To what effective potential a proton beam be subjected to give its protons a wavelength of 1 * 10-10m.
is anyone there who can give it correct answer answer is 0.0826volts I will follow his her and awarding 50 points moreover mark that answer brainlest one
and if any one will give wrong answer I am going to give his her a abuse so plese

Answer 1

Answer:

Explanation:

Answer 2

Answer:

The effective potential a proton beam be subjected to give its protons a wavelength of $1\times 10^{-10}$ is 0.082 V.

Explanation:

Given, wavelength (λ) = $1 \times10^{-10}$

We know that momentum (p) = h/λ

⇒ $\lambda = \frac{h}{mv}$  (since p = mv)...(1)

And also

 $K.E =\frac{1}{2}mv^2$

⇒ $mv = \sqrt{2mK.E}$.....(2)

But we know K.E = qV....(3)

substituting equation (3) in (2)

we get  $mv = \sqrt{2mqV}$....(4)

substituting equation (4) in (1)

$\lambda = \frac{h}{\sqrt{2mqV} }$

$V = \frac{h^2}{2\lambda^2mq}$

$V = \frac{6.62\times10^{-34}}{2\times(10^{-10})^2\times1.67 \times 10^{-27}\times1.602\times10^{-19}}$

V = 0.082 Volts.

The effective potential a proton beam be subjected to give its protons a wavelength of $1\times 10^{-10}$ is 0.082 V.

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