Calculate the de Broglie wavelength for each of the following. a an electron with a velocity 30% of the speed of light Wavelength b. a tennis ball (55 g) served at 19 m/s (-43 mi/h) Wavgiength

Solution-

? = h / mv ;

Here h = 6.626 x 10^-34 J x s. We know that 1 J = 1 kg x m^2 /

s^2.

a)? = (6.626 *10^-34 kg x m^2 / s^2 x s) / (9.11 *10^-31 kg)(2.998

* 10^8* 30/100 m/s)

= 0.80x 10^-11 m

= 0.80 x 10^-2 nm

b) ? = (6.626 * 10^-34 kg x m^2 / s^2 x s) / (0.055 kg)(19 m/s)

=63.4 x 10^-34 m

=63.4 x 10^-25 nm

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