What is “fractional error” for the following formula? Z= 2/3 X2Y3 , X= 7m , Y= 4m, σx=0.2m , σy=0.1m σZ=?

Q: With a wooden ruler, you measure the length of a rectangular piece of sheet metal to be 16 mm. With…

A: Answer: (A) 143.68 mm2 (B) 0.5612 (C) 49.96 mm (D)7.02 mm (E)1.7817 mm Explaination: Given length of…

Q: The length and width of a rectangular room are measured to be 3.764 ± 0.005 m and 4.030 + 0.005 m.…

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Q: Currently, a Japanese brand manufactures standard blocks with a thickness of 1.0005 mm. Assume that…

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Q: Using the trig. substitution 2 sin(θ) cos (θ) = sin(2θ), the range expression becomes: Range =…

A: Apply the first kinematic equation in the vertical motion to determine the time to reach the maximum…

Q: In AABC, the measure of ZC%3D90°, the measure of ZA=47°, and BC 3.5 feet. Find the length of AB to…

A: Solution:   From the above-given triangle:

Q: The diameter of a Cu atom is 2.50pm. How many Cu atoms would need to be placed side-be- side to…

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Q: 68. Alveoli are tiny sacs of air in the lungs. Their average diameter is 5.20×10−5 m. Calculate the…

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Q: An engineering function is given by a = y²e² cos x At x = 1.3,y = 2.1,and z = 4.9, compute the…

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Q: You are performing an experiment, and through analysis have determined that the value you were…

A: We will first calculate the percentage difference and then compare it with the uncertainity.

Q: Find Max terms from the following Min terms  F(X,Y,Z) =Σm(1,3,6,7) F(X,Y,Z) =Σm(0,1,2,4,6) F(A,B,C)…

A: For n number of variables, there are 2n number of minterms/maxterms. Given a truth table, writing F…

Q: The period of oscillation of a sinusoidal signal is T=(98±2) ms. What is the uncertainty on the…

A: Given: Time Period,T=98±2ms=98±2×10-3s The number of times a repeated event happens per unit of time…

Q: Question 7 In a measurement of B two results were obtained, B₁ = (2x10^-3) T and B₁ = (1.00x10^-4) T…

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Q: Rank these SI distance units from smallest to largest: μm, am, fm, nm, mm, cm, m, km, Gm, Tm, Mm,…

A: Rank these SI distance units from smallest to largest: μm, am, fm, nm, mm, cm, m, km, Gm, Tm, Mm,…

Q: Two lengths have been measured as  l(1)= (3.64 ± 0.04) cm and  l(2)= (3.9 ± 0.04) cm. Find the…

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Q: ' Find the relative error in Z, if Z and CD 3/2 4%, 2%, 3% and 1%, respectively.

A: Given relation : Z = A4 B1/3C D3/2Percentage error in A = 4% Percentage error in B = 2% Percentage…

Q: By measuring the acceleration due to gravity a student finds gA=(9.85+-0.08)m/s^2. A student B finds…

A: Note: You have posted a question with more than three subparts.  As per our policy, if nothing is…

Q: The coefficient of static friction between a block and a ramp is given by  μ = tan(θ)  where θ is…

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Q: Find the volume of a thin rectangular box (cuboid) whose sides are measured as 5.2 cm, 12.4 cm, and…

A: Given: Measurement of sides of cubiod are a=5.2 cm b=12.4 cm c=13.42 mm = 1.342 cm To determine…

Q: A function f is defined by f = 4.2 x/y² where x = 2.40 ± 0.01 and y = 1.10 ± 0.04 Calculate the…

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Q: Show that the first term on the left side of the equation h? 1 d (r2. dREe Ze? h?e(e+1)] REe = EREE…

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Q: A bullet is fired from a gun. The bullet travels a distance L = 225 ± 0.5 m during a time interval…

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Q: A traffic patrol officer uses a UAV with a camera to measure the transit time of vehicles between…

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Q: A rectangular brass bar, of mass M, has dimensions a, b, c. The following results They were…

A: to find the uncertainty in the density of the material we need to find the percent error then do the…

Q: With a caliper (Δr=0.05 mm), the edge L of a pure copper plate is measured only once. The value read…

A: Given:- L= Length of the cube= 10 mm = 10^-2 m ∆L= Error in measuring L = 0.05 mm = 0.5×10^-4 m ρ=…

Q: 1. Derive the following expression from the definition of x and e 1(dp) K = T II

A: Isothermal compressibility is defined as κ=-1V∂V∂PT  ......................... (1) The density is…

Q: A group of students are gathering data in a repeated measurement experiment. They have collected 16…

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Q: 1.26 An American golf ball has a mass of 1.62±0.01 oz and a nom- inal diameter of 1.68 in. Determine…

A: We are given mass of ball and uncertainty in it. We are given diameter also. We are also given…

Q: Find the average, variance and the standard deviation for the following: 1.23, 1.24, 1.18, 1.19,…

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Q: H.W //2 Determine the estimated error in the length of AE, which was measured in sections as…

A: Estimated error in length of AE is, Estimated error=∆AB2+∆BC2+∆CD2+∆DE2

Q: The coefficient of static friction between a block and a ramp is given by μ = tan(θ)  where θ is the…

A: The objective of the question is to calculate the uncertainty of the coefficient of static friction…

Q: A rectangle has a length of (2.3 ± 0.1) m and a width of (1.4 ± 0.2) m. Calculate the area and the…

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Q: a=6πb/q√17 relating the variables a, b and q.

A: solutionGiven : a=6πbq17--1Given condition←'b' is held constant and 'q' is varied and 'a' is…

Q: The radius of a uniform solid sphere is measured to be (6.50 ± 0.20) cm, and its mass is measured to…

A: Given that,Radius : r=6.50±0.20 cmMass : M=1.85±0.02 kgWe know that,Density, ρ=M43πr3we can write,…

Q: A function fis given by f = 130²2 2.0 where y(8.85± 0.05) and x = (5.11± 0.03) What is the absolute…

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Q: A quantity Z depends on measured quantities A and B as VĀ Z ВЗ If the uncertainties in A and B are…

A: Given data The quantity Z is, Z=AB3 The uncertainty in A is, a=8%=0.08 The uncertainty in B is,…

Q: L = W H M (89+1) mm (56+1) mm (151+1) mm (741 +5) g

A: L = (89 ± 1) mm W= (56 ± 1)mm H = (151 ± 1)mm M= (741 ± 5)g  Where, Length (L) = 89 mm Uncertainty…

Q: uncertainty.

A: Given: A function y=Asinωt A=2.054±0.012 m ω=2735±8 s-1 t=0.000341±0.00015 s Note: sinx+∆x=∆xcosx;…

Q: If actual value of f(x1)=0,56 and the approximate value of f(x1)=0,6, calculate the relative error?

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Q: A person measures his or her heart rate by counting the number of beats in 30s. If 40+1 beats are…

A: Given the number of beats is 40. And the uncertainty with beats is 1. The time is defined as 30 s,…

Q: Given Data : Block length l= 13.51 +/- 0.05 cm %3D Block width w = 6.23 +/- 0.02 cm Block thickness…

A: Density of any material is the ratio of mass to volume. Density is measured in kg/m3 or g/cm3…

Q: 0¹ 00 9 8 7 6 6 4 3 2 1 9 7 6 6 4 3 2 1.00cm (14.55cm, 18.25cm) 0.60cm 1.40cm 0,40cm (5.40cm,…

A: Solution: The slope of the best line (middle solid line ) is calculated below,…

Debye Theory of Solids

In solid-state physics, debye theory is used to estimate the phonons contributing to the specific heat capacity in a solid. It explains that the specific heat is a consequence of the vibrations of the atomic lattice of the solid, which is in contrast to the Einstein model. In the Einstein model, solids are treated as independent, non-interacting quantum harmonic oscillators. This model clearly explains the low-temperature dependence of the heat capacity, which is proportional to T3. This is known as Debye T3 law.