The upper limit for the speed of an electron.

Question

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Answer 1

Question

Chapter 39, Problem 1OQ

(i)

To determine

The upper limit for the speed of an electron.

(i)

Expert Solution

Answer to Problem 1OQ

Option (a) yes, the speed of light c.

Explanation of Solution

Unlike momentum and energy, speed has an upper limit that is the speed of light, c=2.99×108 m/s.

Therefore, the upper limit for the speed of an electron is c.

(ii)

To determine

Whether the magnitude of an electron’s momentum has an upper limit.

(ii)

Expert Solution

Answer to Problem 1OQ

Option (c) no

Explanation of Solution

The upper limit for speed is c and when an electron reaches that limit, the factor γ tends to infinity. The formula for momentum is p=γmv. By substituting the γ=∞, the momentum of electron also tends to infinity.

Therefore, the magnitude of an electron’s momentum has no upper limit.

(iii)

To determine

Whether the kinetic energy of electron has an upper limit.

(iii)

Expert Solution

Answer to Problem 1OQ

Option (d) no

Explanation of Solution

The upper limit for speed is c and when an electron reaches that limit, the factor γ tends to infinity. The formula for kinetic energy is K=(γ−1)mc2. By substituting the γ=∞, the kinetic energy of electron also tends to infinity.

Therefore, the kinetic energy of electron has no upper limit.

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Answer 2

Question

Chapter 39, Problem 1OQ

(i)

To determine

The upper limit for the speed of an electron.

(i)

Expert Solution

Answer to Problem 1OQ

Option (a) yes, the speed of light c.

Explanation of Solution

Unlike momentum and energy, speed has an upper limit that is the speed of light, c=2.99×108 m/s.

Therefore, the upper limit for the speed of an electron is c.

(ii)

To determine

Whether the magnitude of an electron’s momentum has an upper limit.

(ii)

Expert Solution

Answer to Problem 1OQ

Option (c) no

Explanation of Solution

The upper limit for speed is c and when an electron reaches that limit, the factor γ tends to infinity. The formula for momentum is p=γmv. By substituting the γ=∞, the momentum of electron also tends to infinity.

Therefore, the magnitude of an electron’s momentum has no upper limit.

(iii)

To determine

Whether the kinetic energy of electron has an upper limit.

(iii)

Expert Solution

Answer to Problem 1OQ

Option (d) no

Explanation of Solution

The upper limit for speed is c and when an electron reaches that limit, the factor γ tends to infinity. The formula for kinetic energy is K=(γ−1)mc2. By substituting the γ=∞, the kinetic energy of electron also tends to infinity.

Therefore, the kinetic energy of electron has no upper limit.

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Answer 3

Question

Chapter 39, Problem 1OQ

(i)

To determine

The upper limit for the speed of an electron.

(i)

Expert Solution

Answer to Problem 1OQ

Option (a) yes, the speed of light c.

Explanation of Solution

Unlike momentum and energy, speed has an upper limit that is the speed of light, c=2.99×108 m/s.

Therefore, the upper limit for the speed of an electron is c.

(ii)

To determine

Whether the magnitude of an electron’s momentum has an upper limit.

(ii)

Expert Solution

Answer to Problem 1OQ

Option (c) no

Explanation of Solution

The upper limit for speed is c and when an electron reaches that limit, the factor γ tends to infinity. The formula for momentum is p=γmv. By substituting the γ=∞, the momentum of electron also tends to infinity.

Therefore, the magnitude of an electron’s momentum has no upper limit.

(iii)

To determine

Whether the kinetic energy of electron has an upper limit.

(iii)

Expert Solution

Answer to Problem 1OQ

Option (d) no

Explanation of Solution

The upper limit for speed is c and when an electron reaches that limit, the factor γ tends to infinity. The formula for kinetic energy is K=(γ−1)mc2. By substituting the γ=∞, the kinetic energy of electron also tends to infinity.

Therefore, the kinetic energy of electron has no upper limit.

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Answer 4

Question

Chapter 39, Problem 1OQ

(i)

To determine

The upper limit for the speed of an electron.

(i)

Expert Solution

Answer to Problem 1OQ

Option (a) yes, the speed of light c.

Explanation of Solution

Unlike momentum and energy, speed has an upper limit that is the speed of light, c=2.99×108 m/s.

Therefore, the upper limit for the speed of an electron is c.

(ii)

To determine

Whether the magnitude of an electron’s momentum has an upper limit.

(ii)

Expert Solution

Answer to Problem 1OQ

Option (c) no

Explanation of Solution

The upper limit for speed is c and when an electron reaches that limit, the factor γ tends to infinity. The formula for momentum is p=γmv. By substituting the γ=∞, the momentum of electron also tends to infinity.

Therefore, the magnitude of an electron’s momentum has no upper limit.

(iii)

To determine

Whether the kinetic energy of electron has an upper limit.

(iii)

Expert Solution

Answer to Problem 1OQ

Option (d) no

Explanation of Solution

The upper limit for speed is c and when an electron reaches that limit, the factor γ tends to infinity. The formula for kinetic energy is K=(γ−1)mc2. By substituting the γ=∞, the kinetic energy of electron also tends to infinity.

Therefore, the kinetic energy of electron has no upper limit.

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Answer 5

Chapter 39, Problem 1OQ

(i)

To determine

The upper limit for the speed of an electron.

(i)

Expert Solution

Answer to Problem 1OQ

Option (a) yes, the speed of light c.

Explanation of Solution

Unlike momentum and energy, speed has an upper limit that is the speed of light, c=2.99×108 m/s.

Therefore, the upper limit for the speed of an electron is c.

(ii)

To determine

Whether the magnitude of an electron’s momentum has an upper limit.

(ii)

Expert Solution

Answer to Problem 1OQ

Option (c) no

Explanation of Solution

The upper limit for speed is c and when an electron reaches that limit, the factor γ tends to infinity. The formula for momentum is p=γmv. By substituting the γ=∞, the momentum of electron also tends to infinity.

Therefore, the magnitude of an electron’s momentum has no upper limit.

(iii)

To determine

Whether the kinetic energy of electron has an upper limit.

(iii)

Expert Solution

Answer to Problem 1OQ

Option (d) no

Explanation of Solution

The upper limit for speed is c and when an electron reaches that limit, the factor γ tends to infinity. The formula for kinetic energy is K=(γ−1)mc2. By substituting the γ=∞, the kinetic energy of electron also tends to infinity.

Therefore, the kinetic energy of electron has no upper limit.

Answer 6

Chapter 39, Problem 1OQ

(i)

To determine

The upper limit for the speed of an electron.

(i)

Expert Solution

Answer to Problem 1OQ

Option (a) yes, the speed of light c.

Explanation of Solution

Unlike momentum and energy, speed has an upper limit that is the speed of light, c=2.99×108 m/s.

Therefore, the upper limit for the speed of an electron is c.

Answer 7

Chapter 39, Problem 1OQ

(i)

To determine

The upper limit for the speed of an electron.

Answer 8

(i)

Expert Solution

Answer to Problem 1OQ

Option (a) yes, the speed of light c.

Answer 9

(i)

Expert Solution

Answer 10

(i)

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

Unlike momentum and energy, speed has an upper limit that is the speed of light, c=2.99×108 m/s.

Therefore, the upper limit for the speed of an electron is c.

Answer 13

(ii)

To determine

Whether the magnitude of an electron’s momentum has an upper limit.

(ii)

Expert Solution

Answer to Problem 1OQ

Option (c) no

Explanation of Solution

The upper limit for speed is c and when an electron reaches that limit, the factor γ tends to infinity. The formula for momentum is p=γmv. By substituting the γ=∞, the momentum of electron also tends to infinity.

Therefore, the magnitude of an electron’s momentum has no upper limit.

Answer 14

(ii)

To determine

Whether the magnitude of an electron’s momentum has an upper limit.

Answer 15

(ii)

Expert Solution

Answer to Problem 1OQ

Option (c) no

Answer 16

(ii)

Expert Solution

Answer 17

(ii)

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

The upper limit for speed is c and when an electron reaches that limit, the factor γ tends to infinity. The formula for momentum is p=γmv. By substituting the γ=∞, the momentum of electron also tends to infinity.

Therefore, the magnitude of an electron’s momentum has no upper limit.

Answer 20

(iii)

To determine

Whether the kinetic energy of electron has an upper limit.

(iii)

Expert Solution

Answer to Problem 1OQ

Option (d) no

Explanation of Solution

The upper limit for speed is c and when an electron reaches that limit, the factor γ tends to infinity. The formula for kinetic energy is K=(γ−1)mc2. By substituting the γ=∞, the kinetic energy of electron also tends to infinity.

Therefore, the kinetic energy of electron has no upper limit.

Answer 21

(iii)

To determine

Whether the kinetic energy of electron has an upper limit.

Answer 22

(iii)

Expert Solution

Answer to Problem 1OQ

Option (d) no

Answer 23

(iii)

Expert Solution

Answer 24

(iii)

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

The upper limit for speed is c and when an electron reaches that limit, the factor γ tends to infinity. The formula for kinetic energy is K=(γ−1)mc2. By substituting the γ=∞, the kinetic energy of electron also tends to infinity.