Question

Heisenberg's uncertainty principle tells us that _____. heisenberg's uncertainty principle tells us that _____. the de broglie wavelength of an electron is related to its velocity the more accurately we know the position of a particle, the less accurately we can know the velocity of that particle an electron is actually something intermediate between a particle and a wave complementary properties are those properties that can be measured simultaneously

Answer 1

The more accurately we know the position of a particle, the less accurately we can know the velocity of that particle.

Step-by-step explanation:

Heisenberg's uncertainty principle tells us that:

• The De Broglie wavelength of an electron is related to its velocity. NO. This is true according to the following expression.

c = λ . v

where,

c: speed of light

λ: wavelength

v: frequency

But this is not Heisenberg's uncertainty principle.

• The more accurately we know the position of a particle, the less accurately we can know the velocity of that particle. YES. The corresponding mathematical expression is:

Δv . Δx = h / 4πm

where,

Δv: uncertainty in the velocity

Δx: uncertainty in the position

h: Planck's constant

m: mass

• An electron is actually something intermediate between a particle and a wave. NO. This is known as wave-particle duality.

• Complementary properties are those properties that can be measured simultaneously. NO. The complementary properties can be defined as those properties which cannot be simultaneously measured and observed.

Answer 2

Based on Heisenberg's uncertainty principle, the position and velocity of a particle cannot be determined simultaneously with accuracy.

In other words, Heisenberg's uncertainty principle states that the more accurately we know the position of a particle the less accurately we can know its velocity. Mathematically it is given as:

Δx.mΔv >= h/2π

where: Δx = uncertainty in position

m = mass

Δv = uncertainty in velocity

h = plancks constant