The de Broglie wavelength of an electron moving at 1.5% of the speed of light B. 2.42×10⁻¹⁰ .Therefore , B. 2.42×10⁻¹⁰ is correct .
To calculate the de Broglie wavelength, we can use the following formula:
λ = h / (mv)
where:
λ is the de Broglie wavelength (in meters)
h is Planck's constant (6.626 × 10⁻³⁴ J·s)
m is the mass of the particle (9.109 × 10⁻³¹ kg for an electron)
v is the velocity of the particle (1.5% of the speed of light, which is 4.5 × 10⁶ m/s)
Plugging in the values, we get:
λ = 6.626 × 10⁻³⁴ J·s / (9.109 × 10⁻³¹ kg × 4.5 × 10⁶ m/s) ≈ 2.42 × 10⁻¹⁰ meters
Therefore, the de Broglie wavelength of an electron moving at 1.5% of the speed of light is 2.42 × 10⁻¹⁰ meters.
The answer is B. 2.42×10⁻¹⁰.