Consider a light wave passing through a slit and propagating toward a distant screen. Figure P37.53 shows the intensity variation for the pattern on the screen. Give a mathematical argument that more than 90% of the transmitted energy is in the central maximum of the diffraction pattern. Suggestion: You are not expected to calculate the precise percentage, but explain the steps of your reasoning. You may use the identification 1 1 2 + 1 3 2 + 1 5 2 + ⋯ = π 2 8 Figure P37.53
Consider a light wave passing through a slit and propagating toward a distant screen. Figure P37.53 shows the intensity variation for the pattern on the screen. Give a mathematical argument that more than 90% of the transmitted energy is in the central maximum of the diffraction pattern. Suggestion: You are not expected to calculate the precise percentage, but explain the steps of your reasoning. You may use the identification 1 1 2 + 1 3 2 + 1 5 2 + ⋯ = π 2 8 Figure P37.53
Solution Summary: The author explains that the energy in the central maximum is 90% of the total transmitted light through the slit.
Consider a light wave passing through a slit and propagating toward a distant screen. Figure P37.53 shows the intensity variation for the pattern on the screen. Give a mathematical argument that more than 90% of the transmitted energy is in the central maximum of the diffraction pattern. Suggestion: You are not expected to calculate the precise percentage, but explain the steps of your reasoning. You may use the identification
Consider the circuit shown in the figure below. (Let R = 12.0 (2.)
25.0 V
10.0
www
10.0 Ω
b
www
5.00 Ω
w
R
5.00 Ω
i
(a) Find the current in the 12.0-0 resistor.
1.95
×
This is the total current through the battery. Does all of this go through R? A
(b) Find the potential difference between points a and b.
1.72
×
How does the potential difference between points a and b relate to the current through resistor R? V
3.90 ... CP A rocket designed to place small payloads into orbit
is carried to an altitude of 12.0 km above sea level by a converted
airliner. When the airliner is flying in a straight line at a constant
speed of 850 km/h, the rocket is dropped. After the drop, the air-
liner maintains the same altitude and speed and continues to fly in
a straight line. The rocket falls for a brief time, after which its
rocket motor turns on. Once its rocket motor is on, the combined
effects of thrust and gravity give the rocket a constant acceleration
of magnitude 3.00g directed at an angle of 30.0° above the hori-
zontal. For reasons of safety, the rocket should be at least 1.00 km
in front of the airliner when it climbs through the airliner's alti-
tude. Your job is to determine the minimum time that the rocket
must fall before its engine starts. You can ignore air resistance.
Your answer should include (i) a diagram showing the flight paths
of both the rocket and the airliner, labeled at several…
1. In an industrial fabrication process, a fluid, with density p = 800 kg/m and specific heat capacity
c = 5000 J/kg-C°, emerges from a tank at a temperature, T, = 400 °C. The fluid then enters a metal pipe with inner radius a = 2.0 cm and outer radius b = 3.0 cm and thermal conductivity k = 180 W/m•C°.
Outside the pipe the temperature is fixed at Tout = 15 °C.
If the fluid flows at speed v = 8.0 m/s and the length of the pipe is L = 25 m, what is the temperature
of the fluid at the end of the pipe? (Answer: 83 °C)
please I need to show All work problems step by step
Chapter 38 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.