The order of magnitude of the wavelength of the thermally produced photons in lightning and thunder.

Question

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Answer 1

Question

Chapter 39, Problem 1P

(a)

To determine

The order of magnitude of the wavelength of the thermally produced photons in lightning and thunder.

(a)

Expert Solution

Answer to Problem 1P

The order of magnitude of the wavelength of the thermally produced photons in lightning is ≈10−7 m and for thunder is ≈10−10 m.

Explanation of Solution

Write the expression for Wein’s displacement law.

λmaxT=2.898×10−3 m⋅K (I)

Here, λmax is the maximum wavelength and T is the temperature.

Rewrite equation (I) to find the order of the wavelength.

λmax=2.898×10−3 m⋅KT (II)

Conclusion:

Substitute 104 K for T in equation (II) to find the order of the wavelength in case of lightning.

λmax=2.898×10−3 m⋅K104 K=2.898×10−7 m≈10−7 m

Substitute 107 K for T in equation (II) to find the order of the wavelength in case of thunder.

λmax=2.898×10−3 m⋅K107 K=2.898×10−10 m≈10−10 m

Thus, the order of magnitude of the wavelength of the thermally produced photons in lightning is ≈10−7 m and for thunder is ≈10−10 m.

(b)

To determine

The region in the spectrum where the lightning and thunder will radiate more strongly.

(b)

Expert Solution

Answer to Problem 1P

The lightning radiate more strongly in the ultraviolet region whereas the thunder radiate more strongly in the x-ray and the gamma ray region.

Explanation of Solution

Lightning have the wavelength in the order ≈10−7 m. This falls in the ultraviolet region of the spectrum.

Thunder have the wavelength in the order ≈10−10 m. This falls in the x-rays and gamma rays region of the spectrum.

Conclusion:

Thus, the lightning radiate more strongly in the ultraviolet region whereas the thunder radiate more strongly in the x-ray and the gamma ray region.

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Answer 2

Question

Chapter 39, Problem 1P

(a)

To determine

The order of magnitude of the wavelength of the thermally produced photons in lightning and thunder.

(a)

Expert Solution

Answer to Problem 1P

The order of magnitude of the wavelength of the thermally produced photons in lightning is ≈10−7 m and for thunder is ≈10−10 m.

Explanation of Solution

Write the expression for Wein’s displacement law.

λmaxT=2.898×10−3 m⋅K (I)

Here, λmax is the maximum wavelength and T is the temperature.

Rewrite equation (I) to find the order of the wavelength.

λmax=2.898×10−3 m⋅KT (II)

Conclusion:

Substitute 104 K for T in equation (II) to find the order of the wavelength in case of lightning.

λmax=2.898×10−3 m⋅K104 K=2.898×10−7 m≈10−7 m

Substitute 107 K for T in equation (II) to find the order of the wavelength in case of thunder.

λmax=2.898×10−3 m⋅K107 K=2.898×10−10 m≈10−10 m

Thus, the order of magnitude of the wavelength of the thermally produced photons in lightning is ≈10−7 m and for thunder is ≈10−10 m.

(b)

To determine

The region in the spectrum where the lightning and thunder will radiate more strongly.

(b)

Expert Solution

Answer to Problem 1P

The lightning radiate more strongly in the ultraviolet region whereas the thunder radiate more strongly in the x-ray and the gamma ray region.

Explanation of Solution

Lightning have the wavelength in the order ≈10−7 m. This falls in the ultraviolet region of the spectrum.

Thunder have the wavelength in the order ≈10−10 m. This falls in the x-rays and gamma rays region of the spectrum.

Conclusion:

Thus, the lightning radiate more strongly in the ultraviolet region whereas the thunder radiate more strongly in the x-ray and the gamma ray region.

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Answer 3

Question

Chapter 39, Problem 1P

(a)

To determine

The order of magnitude of the wavelength of the thermally produced photons in lightning and thunder.

(a)

Expert Solution

Answer to Problem 1P

The order of magnitude of the wavelength of the thermally produced photons in lightning is ≈10−7 m and for thunder is ≈10−10 m.

Explanation of Solution

Write the expression for Wein’s displacement law.

λmaxT=2.898×10−3 m⋅K (I)

Here, λmax is the maximum wavelength and T is the temperature.

Rewrite equation (I) to find the order of the wavelength.

λmax=2.898×10−3 m⋅KT (II)

Conclusion:

Substitute 104 K for T in equation (II) to find the order of the wavelength in case of lightning.

λmax=2.898×10−3 m⋅K104 K=2.898×10−7 m≈10−7 m

Substitute 107 K for T in equation (II) to find the order of the wavelength in case of thunder.

λmax=2.898×10−3 m⋅K107 K=2.898×10−10 m≈10−10 m

Thus, the order of magnitude of the wavelength of the thermally produced photons in lightning is ≈10−7 m and for thunder is ≈10−10 m.

(b)

To determine

The region in the spectrum where the lightning and thunder will radiate more strongly.

(b)

Expert Solution

Answer to Problem 1P

The lightning radiate more strongly in the ultraviolet region whereas the thunder radiate more strongly in the x-ray and the gamma ray region.

Explanation of Solution

Lightning have the wavelength in the order ≈10−7 m. This falls in the ultraviolet region of the spectrum.

Thunder have the wavelength in the order ≈10−10 m. This falls in the x-rays and gamma rays region of the spectrum.

Conclusion:

Thus, the lightning radiate more strongly in the ultraviolet region whereas the thunder radiate more strongly in the x-ray and the gamma ray region.

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Answer 4

Question

Chapter 39, Problem 1P

(a)

To determine

The order of magnitude of the wavelength of the thermally produced photons in lightning and thunder.

(a)

Expert Solution

Answer to Problem 1P

The order of magnitude of the wavelength of the thermally produced photons in lightning is ≈10−7 m and for thunder is ≈10−10 m.

Explanation of Solution

Write the expression for Wein’s displacement law.

λmaxT=2.898×10−3 m⋅K (I)

Here, λmax is the maximum wavelength and T is the temperature.

Rewrite equation (I) to find the order of the wavelength.

λmax=2.898×10−3 m⋅KT (II)

Conclusion:

Substitute 104 K for T in equation (II) to find the order of the wavelength in case of lightning.

λmax=2.898×10−3 m⋅K104 K=2.898×10−7 m≈10−7 m

Substitute 107 K for T in equation (II) to find the order of the wavelength in case of thunder.

λmax=2.898×10−3 m⋅K107 K=2.898×10−10 m≈10−10 m

Thus, the order of magnitude of the wavelength of the thermally produced photons in lightning is ≈10−7 m and for thunder is ≈10−10 m.

(b)

To determine

The region in the spectrum where the lightning and thunder will radiate more strongly.

(b)

Expert Solution

Answer to Problem 1P

The lightning radiate more strongly in the ultraviolet region whereas the thunder radiate more strongly in the x-ray and the gamma ray region.

Explanation of Solution

Lightning have the wavelength in the order ≈10−7 m. This falls in the ultraviolet region of the spectrum.

Thunder have the wavelength in the order ≈10−10 m. This falls in the x-rays and gamma rays region of the spectrum.

Conclusion:

Thus, the lightning radiate more strongly in the ultraviolet region whereas the thunder radiate more strongly in the x-ray and the gamma ray region.

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Answer 5

Chapter 39, Problem 1P

(a)

To determine

The order of magnitude of the wavelength of the thermally produced photons in lightning and thunder.

(a)

Expert Solution

Answer to Problem 1P

The order of magnitude of the wavelength of the thermally produced photons in lightning is ≈10−7 m and for thunder is ≈10−10 m.

Explanation of Solution

Write the expression for Wein’s displacement law.

λmaxT=2.898×10−3 m⋅K (I)

Here, λmax is the maximum wavelength and T is the temperature.

Rewrite equation (I) to find the order of the wavelength.

λmax=2.898×10−3 m⋅KT (II)

Conclusion:

Substitute 104 K for T in equation (II) to find the order of the wavelength in case of lightning.

λmax=2.898×10−3 m⋅K104 K=2.898×10−7 m≈10−7 m

Substitute 107 K for T in equation (II) to find the order of the wavelength in case of thunder.

λmax=2.898×10−3 m⋅K107 K=2.898×10−10 m≈10−10 m

Thus, the order of magnitude of the wavelength of the thermally produced photons in lightning is ≈10−7 m and for thunder is ≈10−10 m.

(b)

To determine

The region in the spectrum where the lightning and thunder will radiate more strongly.

(b)

Expert Solution

Answer to Problem 1P

The lightning radiate more strongly in the ultraviolet region whereas the thunder radiate more strongly in the x-ray and the gamma ray region.

Explanation of Solution

Lightning have the wavelength in the order ≈10−7 m. This falls in the ultraviolet region of the spectrum.

Thunder have the wavelength in the order ≈10−10 m. This falls in the x-rays and gamma rays region of the spectrum.

Conclusion:

Thus, the lightning radiate more strongly in the ultraviolet region whereas the thunder radiate more strongly in the x-ray and the gamma ray region.

Answer 6

Chapter 39, Problem 1P

(a)

To determine

The order of magnitude of the wavelength of the thermally produced photons in lightning and thunder.

(a)

Expert Solution

Answer to Problem 1P

The order of magnitude of the wavelength of the thermally produced photons in lightning is ≈10−7 m and for thunder is ≈10−10 m.

Explanation of Solution

Write the expression for Wein’s displacement law.

λmaxT=2.898×10−3 m⋅K (I)

Here, λmax is the maximum wavelength and T is the temperature.

Rewrite equation (I) to find the order of the wavelength.

λmax=2.898×10−3 m⋅KT (II)

Conclusion:

Substitute 104 K for T in equation (II) to find the order of the wavelength in case of lightning.

λmax=2.898×10−3 m⋅K104 K=2.898×10−7 m≈10−7 m

Substitute 107 K for T in equation (II) to find the order of the wavelength in case of thunder.

λmax=2.898×10−3 m⋅K107 K=2.898×10−10 m≈10−10 m

Thus, the order of magnitude of the wavelength of the thermally produced photons in lightning is ≈10−7 m and for thunder is ≈10−10 m.

Answer 7

Chapter 39, Problem 1P

(a)

To determine

The order of magnitude of the wavelength of the thermally produced photons in lightning and thunder.

Answer 8

(a)

Expert Solution

Answer to Problem 1P

The order of magnitude of the wavelength of the thermally produced photons in lightning is ≈10−7 m and for thunder is ≈10−10 m.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

Write the expression for Wein’s displacement law.

λmaxT=2.898×10−3 m⋅K (I)

Here, λmax is the maximum wavelength and T is the temperature.

Rewrite equation (I) to find the order of the wavelength.

λmax=2.898×10−3 m⋅KT (II)

Conclusion:

Substitute 104 K for T in equation (II) to find the order of the wavelength in case of lightning.

λmax=2.898×10−3 m⋅K104 K=2.898×10−7 m≈10−7 m

Substitute 107 K for T in equation (II) to find the order of the wavelength in case of thunder.

λmax=2.898×10−3 m⋅K107 K=2.898×10−10 m≈10−10 m

Thus, the order of magnitude of the wavelength of the thermally produced photons in lightning is ≈10−7 m and for thunder is ≈10−10 m.

Answer 13

(b)

To determine

The region in the spectrum where the lightning and thunder will radiate more strongly.

(b)

Expert Solution

Answer to Problem 1P

The lightning radiate more strongly in the ultraviolet region whereas the thunder radiate more strongly in the x-ray and the gamma ray region.

Explanation of Solution

Lightning have the wavelength in the order ≈10−7 m. This falls in the ultraviolet region of the spectrum.

Thunder have the wavelength in the order ≈10−10 m. This falls in the x-rays and gamma rays region of the spectrum.

Conclusion:

Thus, the lightning radiate more strongly in the ultraviolet region whereas the thunder radiate more strongly in the x-ray and the gamma ray region.

Answer 14

(b)

To determine

The region in the spectrum where the lightning and thunder will radiate more strongly.

Answer 15

(b)

Expert Solution

Answer to Problem 1P

The lightning radiate more strongly in the ultraviolet region whereas the thunder radiate more strongly in the x-ray and the gamma ray region.

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

Lightning have the wavelength in the order ≈10−7 m. This falls in the ultraviolet region of the spectrum.

Thunder have the wavelength in the order ≈10−10 m. This falls in the x-rays and gamma rays region of the spectrum.

Conclusion:

Thus, the lightning radiate more strongly in the ultraviolet region whereas the thunder radiate more strongly in the x-ray and the gamma ray region.

Answer 20

Ch. 39.1 - Prob. 39.1QQ Ch. 39.2 - Prob. 39.2QQ Ch. 39.2 - Prob. 39.3QQ Ch. 39.2 - Prob. 39.4QQ Ch. 39.3 - Prob. 39.5QQ Ch. 39.5 - Prob. 39.6QQ Ch. 39.6 - Prob. 39.7QQ Ch. 39 - Prob. 1P Ch. 39 - Prob. 2P Ch. 39 - Prob. 3P

The order of magnitude of the wavelength of the thermally produced photons in lightning and thunder.

Concept explainers

The order of magnitude of the wavelength of the thermally produced photons in lightning and thunder.

Answer to Problem 1P

Explanation of Solution

The region in the spectrum where the lightning and thunder will radiate more strongly.

Answer to Problem 1P

Explanation of Solution

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Chapter 39 Solutions