
Concept explainers
(a)
To calculate:
(a)

Answer to Problem 46P
It is proved that
Explanation of Solution
Given:
The speed of the wave is
The speed of the wave is
Formula used:
Consideration:
This limit gives
Calculation:
Both the wave function and its first spatial derivative are continuous at
Let, the
Now, to expression for continuity of the two-wave function’s at
And
Or
The sine function is odd as it is symmetric about the origin. So,
Now, differentiate the wave functions with respect to
And
Now, express the continuity of the slopes of the two wave functions at
And
The cosine function is even as it is symmetric about the
Multiply the equation
Now to solving for,
Solve for
Now, put the equation (1) to get,
Solving for
Conclusion:
Hence, it is proved
(b)
To calculate:
(b)

Answer to Problem 46P
The identified equation is,
Explanation of Solution
Given:
The speed of the wave is
The speed of the wave is
Formula used:
Consideration:
This limit gives
Calculation:
To show the
In which,
After substituting the values in equation,
And then check to see if result equation is identified or not,
Therefore, identified equation is,
Conclusion:
Therefore, identified equation is
Want to see more full solutions like this?
Chapter 15 Solutions
Physics for Scientists and Engineers
- I need help with part B. I cant seem to get the correct answer. Please walk me through what youre doing to get to the answer and what that could bearrow_forwardQuestion 6: Chlorine is widely used to purify municipal water supplies and to treat swimming pool waters. Suppose that the volume of a particular sample of Cl₂ gas is 8.70 L at 895 torr and 24°C. (a) How many grams of Cl₂ are in the sample? ⚫ Atomic mass of CI = 35.453 g/mol • Molar mass of Cl₂ = 2 x 35.453 = 70.906 g/mol Solution: Use the Ideal Gas Law: Step 1: Convert Given Values • Pressure: P = 895 torr → atm PV= = nRT 1 P = 895 × = 1.1789 atm 760 • Temperature: Convert to Kelvin: T24273.15 = 297.15 K • Gas constant: R = 0.0821 L atm/mol. K Volume: V = 8.70 L Step 2: Solve for n . PV n = RT n = (1.1789)(8.70) (0.0821)(297.15) 10.25 n = = 0.420 mol 24.405 Step 3: Calculate Mass of Cl₂ Final Answer: 29.78 g of Cl₂. mass nx M mass= (0.420)(70.906) mass= 29.78 garrow_forwardE1 R₁ w 0.50 20 Ω 12 R₁₂ ww ΒΩ R₂ 60 E3 C RA w 15 Ω E2 0.25 E4 0.75 Ω 0.5 Ωarrow_forward
- What is the force (in N) on the 2.0 μC charge placed at the center of the square shown below? (Express your answer in vector form.) 5.0 με 4.0 με 2.0 με + 1.0 m 1.0 m -40 με 2.0 μCarrow_forwardWhat is the force (in N) on the 5.4 µC charge shown below? (Express your answer in vector form.) −3.1 µC5.4 µC9.2 µC6.4 µCarrow_forwardAn ideal gas in a sealed container starts out at a pressure of 8900 N/m2 and a volume of 5.7 m3. If the gas expands to a volume of 6.3 m3 while the pressure is held constant (still at 8900 N/m2), how much work is done by the gas? Give your answer as the number of Joules.arrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College




