One liter of oil is spilled onto a smooth lake. If the oil spreads out uniformly until it makes an oil slick just one molecule thick, with adjacent molecules justtouching, estimate the diameter of the oil slick. Assume the oil molecules have a diameter of 2 x 10–10 m.

Q: Perform the indicated operations to the correct number of significant figures using the rules for…

A: (a) Multiplication rule: The final answer's significant figure is the least significant figure…

Q: A cylinder of mass (m) and a diameter of (2a) with height (10 cm), The height for other cylinder…

A: Since the cylinders are made of the same material, the density of the material must be constant. The…

Q: Assume that the radius of the earth is 4 x 103 mi and that it is a perfect sphere. How many cubic…

A:

Q: Determine the percent uncertainty in 0, and in sin 0, when (a) 0 = 15.0° ± 0.5°, (b) 0 = 75.0° ±…

A: (a) Percentage uncertainty in θ

Q: A cylinder has radius r = 2.00 cm with error 0.01cm and length I = 10.00 cm with error 0.02cm.The…

A: Given data:  Radius of the cylinder, r = 2 cm Error in radius, dr = 0.01 cm Length of the cylinder,…

Q: In SI units, speeds are measured in meters per second (m/s). But, depending on where you live,…

A: 1m =10-3 km1 s = 13600h1 m =6.21×10-4 mi

Q: An architect is redesigning a rectangular room on the blueprints of the house. He decides to double…

A: Given data:  New width (b1) = 2b New length (l1) = 1.89 l New height (h1) = 1.20 h Required: Factor…

Q: A surveyor measures the distance across a straight river by the following method: Starting directly…

A: Given:  x = 100 m  θ = 35.0°

Q: How many times does a human heart beat during a person’s lifetime? How many gallons of blood does it…

A: Number of beats per minute, n = 84 blood pump in each beat = 50 cm3

Q: Solve the following conversion problems, using the basic fact 1 in. = 2.54 cm in each case:  A…

A:

Q: 1. Perform the following mathematical operations, and express the result to the correct number of…

A: Note: According to guidelines, I can solve first three parts of the question. If you need help with…

Q: If ϕ = 90° − θ, what is the value of sin2 ϕ + sin2 θ?

A: Given data:

Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

A: With the help of Pythagorean theorem, the location of the fly can be determined by calculating the…

Q: An architect is redesigning a rectangular room on the blueprints of the house. He decides to double…

A: Let the length of the rectangle be L breadth B and height H. Therefore, volume of the rectangle:…

Q: If equation F = m.g + A.m is assumed to be dimensionally correct, then dimension of quantity A will…

A:

Q: One student uses a meterstick to measure the thickness of a textbook and obtains 4.3cm ± 0.1 cm.…

A: Student obtains reading = 4.3cm ± 0.1 cm

Q: One student uses a meterstick to measure the thickness of a textbook and obtains 4.3 cm + 0.1 cm.…

A:

Q: x² + 4x – 5 b Using Trigonometric Substitution dx = | f(e)dA · find the new limits of integration.…

A: Given that:- Basic mathematics equation is given in the question.

Q: Can you approximate the height of one of the buildings on your campus, or in your neighborhood? Let…

A: Height of a building

Q: An ant makes the changes, each 6 cm in size, successively. What is the total displacement and the…

A: As per given diagram, We can represent vectors d1,d2,d3,d4 and d5 into vectors along x and y-axis.…

Q: Phe length and breadth of a rectangular sheet are 16.2 cm and 10.1 cm, respectively. The area of the…

A:

Q: Calculate the probable error in the volume of the container, in m3

A: Volume of rectangular prism = L W H

Q: A figure skater glides along a circular path of radius 4.60 m. If she coasts around one half of the…

A: The displacement travelled by the skater from the starting location is equal to the diameter of the…

Q: Your height is 1.5m and you look towards a pool that looks like 1.3m deep. Will you be able to stand…

A: Given:height, h=1.5 mapparent depth of pool, happ= 1.3 refractive index, nwater = 1.33

Q: Evaluating the integral will lead us to Qxo 1 1 E= 4 TE,R2 Xo (x3 + R?)²/2 For the case where in R…

A: The electric field due to the point charge is, dE=kdqR2 The electric field acting on the string is,…

Q: The primary dimensions of the constants (a, b) given in the equation F(y) = V (by – ab) are equal…

A: The unit of a quantity in terms of dimension is defined as MxLyTz Here x,y and z depend on the unit…

Q: A surveyor measures the distance across a straight river by thefollowing method: starting directly…

A: Given:θ = 35.0° x = 1.00 x 102 m

Q: A rectangular airstrip measures 32.30 m by 210 m, with the width measured more accurately than the…

A: Given, A rectangular strip measures 32.30 m  by 210 m . The width is measured more accurately than…

Q: A spelunker is surveying a cave. She follows a passage 180 mm straight west, then 290 mm in a…

A: The diagram of the given problem can be made as follows:

Q: A Texas rancher wants to fence off his four-sided plot of flat land. He measures the first three…

A:

Q: What is the answer from this calculation: 3.0 ft x 5.0 ft x 0.5 ft =? Consider both the number and…

A:

Q: If D = (6.00î – 4.00ĵ) m, B = (-3.0oî + 5.00ĵ) m, and A = (-24.0î + 4.00ĵ) m, find the unknown…

A:

Q: Which of the following equations are dimensionally (units) consistent? 1. v = 1/2at2 2. t = v/a…

A:

Q: If the length of a rectangle = |5 ± 0.1|m and its width = |4 ± 0.2 | 12 m. So, the rectangle area is…

A: The area is length times breadth. So, A = 5*4 = 20m2

Q: Consider the physical quantities f, g, h, i and j with dimensions: [S] = M² [g] = [h] = MLT-2 [i] =…

A: Given: f=M2g=ML-3h=MLT-2i=L-3j=L2T2 Now, to find a dimensionless quantity, we need to find:…

Q: the volume of the rectangular block in the figure is calculated from the following measurements of…

A:

Q: Using dimensional analysis, check which of the following equations is or are correct. 1. a=v/t 2.…

A: Given  1. a=v/t 2. density = mass/volume 3. speed = d/t^2  4. a=∆v/∆t

Q: Which of the following equations are dimensionally consistent? (a) v = at, (b) v = 12at2, (c) t =…

A: a V=at     For dimensional stability , both side should have same dimensions .   LT-1=LT-2T…

Q: Evaluate cach of the following to three significant figures and express cach answer in SI units…

A:

Q: 128. Compute the relative error and absolute error when measuring the area of a rectangle of length,…

A: As per guidelines, only first , Q.138 is solved her. L = (10±0.2)m W = 6±0.1m We know that area =…

Q: Problem 16. Consider the physical quantities m, s, v, a, and t with dimensions [m] = M, [s] = L, [v]…

A: Given data:  The dimensions of m, s, v, a and [m] = M, [s] = L,  [v] = LT-1, [a] = LT-2 and [t]  = T…

Q: Compute For the relation between the cubic inch and the cubic om by taking the ratio of the volume…

A: Volume of the wooden block = a * b * c ( where a, b & c are av. length , av. width and av.…

Q: A typical oil molecule has an effective diameter of 0.25 nm. If 25 L (1 L is the same as 1000 cm3)…

A:

Q: If y equals to 9 minus 7x plus 2x squared, find y when x equals to 3?

A:

Q: A hiker walks 35 km east and then 20km south in a day. Find the hikers resultant displacement

A:

Q: In SI units, speeds are measured in meters per second (m/s). But, depending on where you live,…

A: The kilometer, hour, and a mile is 1 km=1000 m1 h = 3600 s1 mi = 1609.34 m

Q: How should the computed result be reported, to the proper number of significant figures, for the…

A: Solve the given set of mathematical operations.

Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.