Question

A free He nucleus (consisting of 2 protons and 2 neutrons) and a free proton have...

A free He nucleus (consisting of 2 protons and 2 neutrons) and a free proton have the same

speed. This means that, compared to the matter wave associated with the proton, the matter

wave associated with the He nucleus:

a. has a longer deBroglie wavelength and a smaller kinetic energy

b. has a longer deBroglie wavelength and a greater kinetic energy

c. has the same deBroglie wavelength and the same kinetic energy

d. has a shorter deBroglie wavelength and a smaller kinetic energy

e. has the shorter

deBroglie wavelength and a greater kinetic energy

Homework Answers

Answer #1

Answer will be option e.) has the shorter deBroglie wavelength and a greater kinetic energy

As,

Mass of He nucleus = 4 times the mass of proton (u)

Charge of He nucleus = 2 times the charge of the proton (+e)

Velocity same for both the particle.

They both have same velocity so that higher the mass higher the kinetic energy hence

K.E(He nucleus) is greater than K.E of free proton.

Also for the wavelength we have,

Lambda = h/mv

As velocity is constant here so that higher the mass lower the wavelength of the particle. And here mass of He nucleus is higher so its wavelength will ve shorter than the wavelength of the proton.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A bare helium nucleus consists of two protons and two neutrons and has a mass of...
A bare helium nucleus consists of two protons and two neutrons and has a mass of 6.64 × 10–27 kg Calculate its kinetic energy in joules at 2.00% of the speed of light. Use the non-relativistic formula. What is this in electron volts? What voltage would be needed to obtain this energy?
An atom is made of positively charged protons and neutral neutrons concentrated in a nucleus, while...
An atom is made of positively charged protons and neutral neutrons concentrated in a nucleus, while negatively charged electrons orbit around them. If I want to make a Helium atom out of two Hydrogen atoms, I am going to have to have to get 2 Hydrogen atoms very close together so that they can form a new nucleus. This is a process called nuclear fusion, and it takes a lot of energy. a) If, in order for this to happen,...
A helium nucleus (called an alpha particle) contains 2 neutrons and 2 protons with no electrons....
A helium nucleus (called an alpha particle) contains 2 neutrons and 2 protons with no electrons. If any electrons are added, there is a negligible amount of mass added but obviously one negative charge per electron is added. Three particles are injected into a constant B-field of 2T at a velocity of 3×106ms. The first particle is only the alpha particle (He++), the second particle is a nucleus with 1 electron (He+), and the third particle is a nucleus with...
1. Compared to a 2 eV photon, a 5 eV photon has A. lower frequency. B....
1. Compared to a 2 eV photon, a 5 eV photon has A. lower frequency. B. shorter wavelength C. longer wavelength D. higher speed E. lower speed A particle is trapped in a small box. Compared to the same particle trapped in a larger box, what can you say about the ground state energy? If the box is smaller, the energy is greater. B. If the box is larger, the energy is greater C.The size of the box has no...
1. A hydrogen nucleus which has a charge +e, is situated to the left of a...
1. A hydrogen nucleus which has a charge +e, is situated to the left of a sulfate ion, which has a charge -2e. Which statement is true? A) The electrical force experienced by the hydrogen nucleus is to the left, and the magnitude is equal to the force exerted on the sulfate ion. B) The electrical force experienced by the hydrogen nucleus is to the left, and the magnitude is greater than the force exerted on the sulfate ion. C)...
In order to investigate the structure of atoms, Ernest Rutherford performed his famous experiment, in which...
In order to investigate the structure of atoms, Ernest Rutherford performed his famous experiment, in which he bombarded gold atoms with alpha particles and studied the scattering of the alpha particles. Imagine that an alpha particle (a helium nucleus, consisting of two protons and two neutrons) is initially moving along the x-axis in the positive direction straight toward an initially stationary gold nucleus (containing 79 protons and 118 neutrons) and all subsequent motion takes place along the x-axis. The alpha...
In order to investigate the structure of atoms, Ernest Rutherford performed his famous experiment, in which...
In order to investigate the structure of atoms, Ernest Rutherford performed his famous experiment, in which he bombarded gold atoms with alpha particles and studied the scattering of the alpha particles. Imagine that an alpha particle (a helium nucleus, consisting of two protons and two neutrons) is initially moving along the x-axis in the positive direction straight toward an initially stationary gold nucleus (containing 79 protons and 118 neutrons) and all subsequent motion takes place along the x-axis. The alpha...
Quarks and gluons are fundamental particles that will be discussed in Chapter 44. A proton, which...
Quarks and gluons are fundamental particles that will be discussed in Chapter 44. A proton, which is a bound state of two up quarks and a down quark, has a rest mass of mp=1.67×10−27 kg.mp=1.67×10−27 kg. This is significantly greater than the sum of the rest mass of the up quarks, which is mu=4.12×10−30 kgmu=4.12×10−30 kg each, and the rest mass of the down quark, which is md=8.59×10−30 kg.md=8.59×10−30 kg. Suppose we (incorrectly) model the rest energy of the proton...
1. A bat uses very high frequencies so: a. He will kill the insects he's hunting...
1. A bat uses very high frequencies so: a. He will kill the insects he's hunting b. We won't hear them c. The sound waves will be small compared to the insects d. The sound waves will be large compared to the insects e. He can tune in to KMET for the weather report 2. Bees see somewhat into the ultraviolet. This is because: a. They use radar b. They can see in the dark c. They evolved with a...
1) The Pauli Exclusion Principle tells us that no two electrons in an atom can have...
1) The Pauli Exclusion Principle tells us that no two electrons in an atom can have the same four quantum numbers. Enter ONE possible value for each quantum number of an electron in the orbital given. Orbital n l ml ms 1s There are a total of values possible for ml. 2s There are a total of values possible for ml. 2) The Pauli Exclusion Principle tells us that no two electrons in an atom can have the same four...