A proton (?? = +?, ?? = 1.0 u; where u = unified mass unit ≃...

A proton (?? = +?, ?? = 1.0 u; where u = unified mass unit ≃ 1.66 × 10−27kg), a deuteron (?? = +?, ?? = 2.0 u) and an alpha particle (?? = +2?, ?? = 4.0 u) are accelerated from rest through the same potential difference ?, and then enter the same region of uniform magnetic field ?⃗⃗ , moving perpendicularly to the direction of the magnetic field.

A) What is the ratio of the proton’s kinetic energy ?? to the alpha particle’s kinetic energy ???

B) What is the ratio of the deuteron’s kinetic energy ?? to the alpha particle’s kinetic energy ???

C) If the radius of the proton’s circular orbit ?? = 10 cm, what is the radius of the deuteron’s orbit ???

D) What is the radius of the alpha particle’s orbit ???

Solutions

Expert Solution

genius_generous answered 5 months ago

Next > < Previous

Related Solutions

A proton (p) of mass 2.36-u(unified atomic mass units) traveling with a speed 4.93 x 104...

A proton (p) of mass 2.36-u(unified atomic mass units) traveling with a speed 4.93 x 104 m/s of has an elastic head-on collision with a helium (He) nucleus (mHe = 4.00 u) initially at rest. What is the velocity of helium nucleus after the collision? (As mentioned in Chapter 1, 1 u = 1.66 x 10–27 kg but we won’t need this fact.) Assume the collision takes place in nearly empty space.

From the information in this chapter on the mass of the proton, the mass of the...

From the information in this chapter on the mass of the proton, the mass of the electron, and the sizes of the nucleus and the atom, calculate the densities of a hydrogen nucleus and a hydrogen atom. (Radius of hydrogen atom is 1 ✕ 10-8 cm.) density of hydrogen nucleus ______g/cm3 ddensity of hydrogen atom ___________g/cm3

The proton mass is 1.007276 amu , the neutron mass is 1.008665 amu , and the...

The proton mass is 1.007276 amu , the neutron mass is 1.008665 amu , and the electron mass is 5.486×10−4 amu . What is the expected mass of a potassium-39 nucleus, based on the total mass of its protons and neutrons? The actual measured mass of a potassium-39 atom is 38.963707 amu . What is the mass defect, Δm, for a potassium-39 nucleus? What is the binding energy for a potassium-39 nucleus? What is the binding energy, ΔE, for a...

25) The proton mass is 1.007276 amu , the neutron mass is 1.008665 amu , and...

25) The proton mass is 1.007276 amu , the neutron mass is 1.008665 amu , and the electron mass is 5.486×10−4 amu Part A What is the expected mass of a potassium-39 nucleus, based on the total mass of its protons and neutrons? Part C What is the binding energy for a potassium-39 nucleus? Express your answer numerically in joules per mole.

Mass m is in a potential well given by U(r) = m (a/(r10)– b/(r8)) where a...

Mass m is in a potential well given by U(r) = m (a/(r10)– b/(r8)) where a and b are known positive constants, and r is the distance from m to the force center, with r > 0. NOTE: Consider this problem as one-dimensional motion in the spherical coordinate r. Suppose that, when the atom is at equilibrium, it undergoes a small displacement x (where x << r0) from equilibrium and is released from rest; the displacement of the atom is...

An unknown compound (A), C10H12O, gave the following proton NMR data: (a) triplet, at 1.0 ppm...

An unknown compound (A), C10H12O, gave the following proton NMR data: (a) triplet, at 1.0 ppm (3H) (b) quartet, at 2.4 ppm (2H) (c) singlet, at 3.7 ppm (2H) (d) multiplet, at 7.2 ppm (5H) Propose a structure for (A).

A proton and a singly charged ion of mass 91 atomic mass units (amu) are accelerated...

A proton and a singly charged ion of mass 91 atomic mass units (amu) are accelerated through the same potential difference and enter a region of uniform magnetic field moving perpendicular to the magnetic field. What is the ratio of their kinetic energies? If the radius of the proton's circular path in the magnetic field is 16.8 cm , what is the radius of the path of the singly charged ion of 91 amu? By what factor must the magnetic field be...

Let u be a unit vector, and P = Identity vector − u⊗u. Compute P^2 and...

Let u be a unit vector, and P = Identity vector − u⊗u. Compute P^2 and P^(−1). Hint: Rank one Matrix.

An electron (mass m1 = 9.11 x 10-31 kg) and a proton (mass m2 = 1.67...

An electron (mass m1 = 9.11 x 10-31 kg) and a proton (mass m2 = 1.67 x10-27 kg) attract each other via an electrical force. Suppose that an electron and a proton are released from rest with an initial separation d = 2.40 x 10-6 m. When their separation has decreased to 0.510 x 10-6 m, what is the ratio of (a) the electron's linear momentum magnitude to the proton's linear momentum magnitude, (b) the electron's speed to the proton's...

what mass of Ca(NO3)2 must be added to 1.0 L of a 1.0 M HF solution...

what mass of Ca(NO3)2 must be added to 1.0 L of a 1.0 M HF solution to begin precipitation of CaF2. You may assume no volume change on the addition of Ca(NO3)2. Ksp for CaF2 = 4.0 x 10-11 and ka for HF=7.2 x 10-4.

Subjects