Question

An atom of an unknown element travels at 0.99% of the speed of light. Its de Broglie wavelength is 3.29x10^{-3}−3 pm. What is the element's symbol?

Answer #1

**debroglies equation**

** l = h/P**

** l = h/mv (P= mv)**

**l = wavelength of wave associated with atom of an
unknown element = 3.29*10^-3 pm = 3.29*10^-15
m (1 pm = 10^-12 m)**

**v = speed of atom of an unknown element =
3*10^8*0.99/100 = 2.97*10^6 m/s**

**m = mass of atom of an unknown element = ?
kg**

**h = planks constant = 6.625*10^-34 j.s**

**(3.29*10^-15) =
((6.625*10^-34)/(m*2.97*10^6))**

** m = 6.78*10^-26 kg**

** = 6.78*10^-23 g**

**atomicmass of element = m*N = 6.78*10^-23*6.023*10^23 =
40.8 g/mol**

**element symbol = Calcium(Ca)**

Consider an atom traveling at 3%
of the speed of light. The de Broglie wavelength is found to be
1.42x10^-3 pm. Which element is this?
a) He
b) P
c) F
d) Be
e) Ca

A single atom is accelerated to a velocity of 1.5% the speed of
light. At this speed the atom has a de Broglie wavelength of
8.6×10-16 m. What is the atom in question?
(a) Helium (He)
(b) Lutetium (Lu)
(c) Rhodium (Rh)
(d) Hydrogen(H)
(e) An atom cannot have a
wavelength.
**solutions say the anser is (C)
but i dont know how they got that

Calculate the de Broglie wavelength of a Helium atom moving at a
speed of 50 m/s.

Calculate the de Broglie wavelength for a proton with a velocity
3.98% of the speed of light..

1) How will the wavelength of de Broglie electron change if you
increase it
speed 3 times?
2) How much is the wavelength of de Broglie proton different from
the wavelength
where is the Broglie electron if they move at the same speed?
3) Will the wavelength of the particle change if it enters the
potential field?

A. The mass of an electron is 9.11×10−31 kg. If the de Broglie
wavelength for an electron in a hydrogen atom is 3.31×10−10 m, how
fast is the electron moving relative to the speed of light? The
speed of light is 3.00×108 m/s. Calculate your answer as a
percentage.The solution was .732% B. The mass of a golf ball is
45.9 g . If it leaves the tee with a speed of 70.0 m/s , what is
its corresponding wavelength?...

An electron in a hydrogen-like atom in the n = 3 orbital has a
de Broglie wavelength of 1.89x10-10 m.
Calculate the orbit radius of the electron, in nm.

1) Ground state hydrogen is illuminated with light of wavelength
of 82.7nm. The speed of the ionized elector is?
2) Calculate the de Broglie wavelength of a 0.05ev thermal
neutron

A photon of wavelength 5.58 pm scatters at an angle of 122° from
an initially stationary, unbound electron. What is the de Broglie
wavelength(in pm) of the electron after the photon has been
scattered??
Notice: Answer is not (9.29, 2.12, 2.06, nor 4.11)pm
Explanation:
The de Broglie wavelength of a massive particle is related to
its momentum in the same way that a photon's momentum is related to
its wavelength.
The well-known Compton scattering relationship gives the final
wavelength of...

Just as light waves have particle behavior, a moving particle
has a wave nature. The faster the particle is moving, the higher
its kinetic energy and the shorter its wavelength. The wavelength,
λ, of a particle of mass m, and moving at
velocity v, is given by the de Broglie relation
λ=hmv
where h=6.626×10−34 J⋅s is Planck's constant.
This formula applies to all objects, regardless of size, but the
de Broglie wavelength of macro objects is miniscule compared to
their...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 6 minutes ago

asked 10 minutes ago

asked 40 minutes ago

asked 46 minutes ago

asked 47 minutes ago

asked 52 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago