Question

What is the wavelength of an electron moving at 3.00% of the speed of light?

a) (3.33 times 10⁻¹¹ , {m})
b) (2.70 times 10⁻¹⁰ , {m})
c) (9.00 times 10⁻¹¹ , {m})
d) (1.08 times 10⁻¹⁰ , {m})

Answer 1

The wavelength of an electron moving at 3.00% of the speed of light can be calculated using the equation λ = h/mv, where λ represents the wavelength, h is Planck's constant (6.626 × 10^-34 J·s), m is the mass of the electron (9.11 × 10^-31 kg), and v is the velocity of the electron (3.00 × 10^8 m/s). The correct answer is 2.70 × 10^-10 m.

Step-by-step explanation:

The wavelength of an electron moving at 3.00% of the speed of light can be calculated using the equation λ = h/mv, where λ represents the wavelength, h is Planck's constant (6.626 × 10^-34 J·s), m is the mass of the electron (9.11 × 10^-31 kg), and v is the velocity of the electron (3.00 × 10^8 m/s).

Plugging in the given values, we get: λ = (6.626 × 10^-34)/(9.11 × 10^-31 × 3.00 × 10^8) = 2.70 × 10^-10 m.

Therefore, the correct answer is (b) 2.70 × 10^-10 m.