The Power of Quantum Physics: Calculating de Broglie Wavelength

What is the de Broglie wavelength (m) of a 2.0-kg object moving at a speed of 50 m/s?

A. 5.3 x 10^-33 m

B. 2.6 x 10^-35 m

C. 1.5 x 10^35 m

D. 6.6 x 10^-36 m

E. 3.8 x 10^34 m

Final Answer:

The de Broglie wavelength of a 2.0-kg object moving at a speed of 50 m/s is approximately 6.6 x 10^-36 meters. Hence the correct answer is option D

Quantum physics opens up a whole new world of possibilities, allowing us to delve into the microscopic realm of particles and waves. One of the key concepts in quantum physics is the de Broglie wavelength, which relates the momentum of a particle to its wavelength.

The de Broglie wavelength of an object can be calculated using the equation λ = h/mv, where λ is the de Broglie wavelength, h is Planck's constant (6.63 x 10^-34 J·s), m is the mass of the object, and v is the velocity of the object. In this case, we have a 2.0-kg object moving at a speed of 50 m/s.

Plugging these values into the equation, we get:

λ = (6.63 x 10^-34 J·s) / (2.0 kg * 50 m/s) = 6.6 x 10^-36 m

Therefore, the de Broglie wavelength of the 2.0-kg object moving at a speed of 50 m/s is approximately 6.6 x 10^-36 meters. Embrace the power of quantum physics and explore the fascinating world of particles and waves!