Question

A proton (1.6726 × 10-27 kg) and a neutron (1.6749 × 10-27 kg) at rest combine...

A proton (1.6726 × 10-27 kg) and a neutron (1.6749 × 10-27 kg) at rest combine to form a deuteron, the nucleus of deuterium or "heavy hydrogen." In this process, a gamma ray (high-energy photon) is emitted, and its energy is measured to be 2.2 MeV (2.2 × 106 eV).

(a) Keeping all five significant figures, what is the mass of the deuteron? Assume that you can neglect the small kinetic energy of the recoiling deuteron.

(b) Momentum must be conserved, so the deuteron must recoil with momentum equal and opposite to the momentum of the gamma ray. Calculate approximately the kinetic energy of the recoiling deuteron and show that it is indeed small compared to the energy of the gamma ray.

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Where a stationary neutron combines with a proton to form a deuteron, a gamma ray of...
Where a stationary neutron combines with a proton to form a deuteron, a gamma ray of energy 2.2233 MeV is emitted. The masses of the proton and the deuteron are 1.007276467 u and 2.013553212 u, respectively. Determine the mass of the neutron, stating any laws used and defining variables. Ans 1.0087 u
The fusion of deuterium (one proton + one neutron) with tritium (one proton + two neutrons)...
The fusion of deuterium (one proton + one neutron) with tritium (one proton + two neutrons) to form a Helium nucleus (two protons + two neutrons) and one spare neutron releases about 17 MeV of energy. ( 1 eV = 1.6 x 10-19 Joules). Given that the Sun produces about 380 x 1026 Watts of luminous energy, what is the total mass of deuterium and tritium that must be fusing each second to provide this energy output? If we could...
How much energy is released when a neutron(1.67493 10-27 kg) decays into a proton (1.67262 10-27...
How much energy is released when a neutron(1.67493 10-27 kg) decays into a proton (1.67262 10-27 kg), an electron(9.10938 10-31 kg), and a neutrino of negligible mass?
An alpha particle is a helium nucleus with a mass of 6.68×10−27 kg. Suppose an alpha...
An alpha particle is a helium nucleus with a mass of 6.68×10−27 kg. Suppose an alpha particle moves with a speed of 0.653c. a. Find the magnitude of its momentum. b. What is the total energy of the particle? c. What is its rest energy? d. What is its relativistic kinetic energy? 2. Laboratory experimenters measure the lifetime of a neutron at rest to be 1.80 s. They then measure its lifetime to be 5.13 s when it was moving....
(I) A free neutron (m = 1.67 × 10−27 kg) has a mean life of 880...
(I) A free neutron (m = 1.67 × 10−27 kg) has a mean life of 880 s. What is the uncertainty in its mass (in kg)? (II) What minimum frequency of light is needed to eject electrons from a metal whose work function is 4.8 × 10−19 ? and give the ejected electron a kinetic energy of 150??? (III) If an electron’s position can be measured to a precision of 12 nm. what is the uncertainty in its speed? Assuming...
A particle has a rest mass of 6.35 × 10 − 27 kg and a momentum...
A particle has a rest mass of 6.35 × 10 − 27 kg and a momentum of 5.73 × 10 − 18 kg ⋅ m/s . Determine the total relativistic energy of the particle. E = J Find the ratio of the particle's relativistic kinetic energy to its rest energy. K E rest =
A. What is the energy in 10-3 eV of a photon that has a momentum of...
A. What is the energy in 10-3 eV of a photon that has a momentum of 6.13×10−29 kg ⋅ m/s ? B. What is the energy in 10-9 eV of a photon in a radio wave from an AM station that has a 1,506 kHz broadcast frequency? C. Calculate the frequency in 1020 Hz of a 0.571 MeV γ-ray photon. D. A certain molecule oscillates with a frequency of 1.73×1013 Hz. What is the approximate value of n for a...
In Rutherford's scattering experiment, alpha particles (m = 6.68 x 10-27 kg, q = +2e) of...
In Rutherford's scattering experiment, alpha particles (m = 6.68 x 10-27 kg, q = +2e) of 7.5 MeV kinetic energy were aimed at a thin gold foil (Z = 79). Some of the alpha particles scattered straight back: 180 degrees. From this data, what is his estimate for the size of the gold nucleus?
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT