Q61E If a laser pulse is of short eno... [FREE SOLUTION]

Chapter 4: Q61E (page 138)

If a laser pulse is of short enough duration, it becomes rather superfluous to refer to its specific color. How short a duration must a light pulse be for its range of frequencies to cover the entire visible spectrum? (The visible spectrum covers frequencies of -4.5to $7.5 脳 10^{14} Hz$ .)

Short Answer

Expert verified

Duration must be $2.65 脳 10^{- 16} s$ for the light pulse of a given range of frequencies to cover the entire visible spectrum.

Step by step solution

Heisenberg’s Uncertainty Principle.

Using uncertainty principle $鈭� E 鈭� t 鈮� \frac{h}{2}$

Where, $鈭� E$ is the uncertainty in energy, $鈭� t$ is the uncertainty in time,his Planck鈥檚 constant.

Use Heisenberg’s Uncertainty Principle for calculation.

Write is as,

$鈭� E 鈭� t 鈮� \frac{h}{2} 鈭� (h f) 鈭� t 鈮� \frac{(\frac{h}{2 蟺})}{2} h 鈭� f 鈭� t 鈮� \frac{h}{4 蟺} 鈭� f 鈭� t 鈮� \frac{1}{4 蟺} 鈭� t 鈮� \frac{1}{4 蟺鈭� f}$

Plug in the values,

$鈭� t 鈮� \frac{1}{4 蟺 (3 脳 10^{14})} 鈭� t 鈮� 2.65 脳 10^{- 16} s$

Therefore, the duration must be $2.65 x 10^{- 16} s$ for the light pulse of a given range of frequencies to cover the entire visible spectrum.

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91影视

If a laser pulse is of short enough duration, it becomes rather superfluous to refer to its specific color. How short a duration must a light pulse be for its range of frequencies to cover the entire visible spectrum? (The visible spectrum covers frequencies of -4.5to $7.5 脳 10^{14} Hz$ .)

Short Answer

Step by step solution

Heisenberg’s Uncertainty Principle.

Use Heisenberg’s Uncertainty Principle for calculation.

One App. One Place for Learning.

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91影视

If a laser pulse is of short enough duration, it becomes rather superfluous to refer to its specific color. How short a duration must a light pulse be for its range of frequencies to cover the entire visible spectrum? (The visible spectrum covers frequencies of -4.5to7.5脳1014Hz.)

Short Answer

Step by step solution

Heisenberg’s Uncertainty Principle.

Use Heisenberg’s Uncertainty Principle for calculation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Thermodynamics

Radiation

Electrostatics

Electric Charge Field and Potential

Translational Dynamics

Measurements

Study anywhere. Anytime. Across all devices.

If a laser pulse is of short enough duration, it becomes rather superfluous to refer to its specific color. How short a duration must a light pulse be for its range of frequencies to cover the entire visible spectrum? (The visible spectrum covers frequencies of -4.5to $7.5 脳 10^{14} Hz$ .)