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In an electron microscope, electrons are accelerated to great velocities. Calculate the wavelength of an electron travelling with a velocity of 7.0 megameters per second. The mass of an electron is $9 .1 \times 10^{- 28} g$

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1.0 × 10−31 m

1.0 × 10−7 m

1.0 m

1.0 × 10−10 m

answer is D.

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Detailed Solution

$\begin{array}{l} Velocity = 7 \times 10^{6} meter \\ λ = \frac{h}{mv} = \frac{6 .6 \times 10^{- 34}}{9 .1 \times 10^{- 31} \times 7 \times 10^{6}} = 1 \times 10^{- 10} m \end{array}$

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