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# de Broglie wavelength question watch

1. Hi all

Wondered if anyone could help please? I have been analysing some data on the de Broglie wavelength andd was asked to plot a graph of v against 1 / λ

The question then says that if v and 1 / λ are linked by the equation λ = h /mv what does the gradient of this graph show? Use the gradient to calculate h.

Could anyone help by helping me find what the gradient represents and how I could use this to find h?

Many thanks
2. (Original post by sibasford)
Hi all

Wondered if anyone could help please? I have been analysing some data on the de Broglie wavelength andd was asked to plot a graph of v against 1 / λ

The question then says that if v and 1 / λ are linked by the equation λ = h /mv what does the gradient of this graph show? Use the gradient to calculate h.

Could anyone help by helping me find what the gradient represents and how I could use this to find h?

Many thanks
We have y = v and x = 1/lambda

we know that lambda = h/mv or lambda = h x 1/m x 1/v
1/v = lambda x m/h

v = mh/lambda.

1/lambda = x, so gradient = mh

if you have the m, you can calculate h

(I think)

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