Question

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

Answer 1

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

Step-by-step explanation:

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, the mass of the object is 2.0 kg and the speed is 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.

Hence the correct answer is option D