If an Electron Has the Same De Broglie Wavelength as the Wavelength

question 88

Multiple Choice

If an electron has the same de Broglie wavelength as the wavelength of a $390 - \mathrm { nm }$ photon in vacuum, what is the speed of the electron? (melectron $= 9.11 \times 10 ^ { - 31 } \mathrm {~kg} , c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , h = 6.626$ $\times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s }$ )

• A) \(2100 \mathrm {~m} / \mathrm { s }\)
• B) \(1900 \mathrm {~m} / \mathrm { s }\)
• C) \(1700 \mathrm {~m} / \mathrm { s }\)
• D) \(540 \mathrm {~m} / \mathrm { s }\)
• E) \(1500 \mathrm {~m} / \mathrm { s }\)

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Definitions:

Fertilization

The process by which male and female gametes combine to form a zygote, initiating embryonic development in sexually reproducing organisms.

Blastocoel

Fluid-filled cavity of a blastula.

Cellular Development

The process by which cells undergo growth and differentiation to form tissues, organs, and ultimately an organism.

Zona Pellucida

A thick, transparent coating surrounding the ovum of mammals, playing a crucial role in fertilization.