Which one among the following statements is WRONG? -A physical expression (formula) has the correct form only if the dimensions on both sides of the equation are the same. -Dimensions of physical quantities can be treated as algebraic quantities. -Physical quantities having the same dimensions can be added or can be substracted. -Physical quantities having the same dimensions can neither be added nor substracted.

Q: 2. In the calculation of the area of the same square measuring: 5.0 cm ±.05 cm by 5.0 cm ±.05 cm,…

A: The area of square is, A=a2 Here, a is the side of the square.

Q: The period of a pendulum is the time it takes the pendulum to swing back and forth once. If the only…

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Q: 1. One hectare, a unit of measure often used in measuring land areas, is defined to be 10 m2. In an…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Assume the equation x = At3 + Bt describes the motion of a particular object, with x having the…

A: x having dimension of length L t having dimension of time T By using dimensional analysis of given…

Q: The general equation for a parabola is y=ax^2+bx+c, where a,b, and c are constants. What are the…

A: Step -1To find: The unit of constant a, b and c.Given information: The equation of parabola is : y=…

Q: The speed, v, of an object is given by the equation v = At - Bt, where t refers to time. What are…

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Q: A student is attempting to determine the total volume of water in two identical aquarium tanks, both…

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Q: series of rectangles. Each measurement was made using a ruler with the smallest scale marking of 0.1…

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Q: Problem 1.42 Vector A has components A, = 1.40 cm, A, = 2.35 cm; vector B has components B, = 4.20…

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Q: subtract

A: Given: There are two quantities with different dimensions lets say, Q and Q'

Q: In the equation below, which (if any) of the terms are not dimensionally consistent with the others?…

A: The dimension of mass m is [m]=M. The dimension of gravitational constant g is [g]=LT-2. The…

Q: factors in Appendix E.. {A E14. The volume of a cube is found by multiplying length times width…

A: In a cube length, width, and volume all are equal. Let the side ( length = width = height) of the…

Q: Problem 6: The sides of a small rectangular box are measured to be 1.55 + 0.045 cm, 2.1 + 0.025cm,…

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Q: A book is moved once around the perimeter of a tabletop with the dimensions 1.0 m × 2.0 m. If the…

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Q: We would like to find a relationship between the physical quantities s, t, u and v using theorem.…

A: Given Data: The given equation is  satbucvd i.e.  MLT2aT/LbM2T2cL2d   and  2a+?b+2c = 0

Q: You can use known quantities to determine an approximate measurement of unknown quantities. If your…

A: 1 hand = 10 cm

Q: 11. A traditional unit of length in Japan is the ken, where 1 ken =1.97 m. What are the ratios of:…

A: Given :    1 ken = 1.97 m    Height, h = 5.50 kens = 10.835 m    Radius, r = 3 kens = 5.91 m…

Q: A displacement is related to time as x = Asin(2πft) , where A and f are constants. Find the…

A: the displacement as a function of time is given as :x(t) = A × Sin(2πft)

Q: The left side of an equation has dimensions of length and theright side has dimensions of length…

A: For an equation to be valid, the dimensions of the physical quantities have to be same on both sides…

Q: If an equation is dimensionally correct, does this mean that the equation must be true? If an…

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Q: In a situation in which data are known to three significant digits, we write 6.379 m = 6.38 m and…

A: Logarithmic scale is used to find the order of magnitude.

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

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Q: the

A: (a) In the given equation, x = At3 + Bt, x has the dimension of L and thus the dimensions of A and B…

Q: Each of the following equations was given by a student during an examination 1/2 mv^2=1/2…

A: 1) The equation is given as, Here, v0 and v denotes the initial and the final velocity, g denotes…

Q: A traditional unit of length in Japan is the ken (1 ken  1.97 m).What are the ratios of (a) square…

A: The unit length in ken,   The ratio of the square kens to square meters,

Q: Consider the equation v= The dimensions of the variables v, x, and t are [L]/[T], [L], and [T],…

A: GivenV=13Zxt2Dimension of V=LTx=Lt=T3 is dimensionless

Q: Container 1 has rectangular base with area of 4.03m ^ 2 and its height is 1.3 m. Container 2 has a…

A: Area of the base of container 1 is A=4.03 m2 Height of container 1 is H = 1.3 m Volume of container…

Q: The micrometer (1 um) is often called the micron. (a) How many microns make up 3.8 km? (b) How many…

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Q: Each of the following equations was given by a studentduring an examination: (a) 1/2 mv2= 1/2 mvo2 +…

A: Given:(a) 1/2 mv2= 1/2 mvo2 + √mgh(b) v= v0 +at2(c) ma =v2

Q: Analysis of an Equation Show that the expression v = at, where v represents speed, a acceleration,…

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Q: following fundamental SI units are based on a physical artefact instead of a natural phenomenon?…

A: Option A The kilogram is the only one of the seven basic units of the international measurement…

Q: Now you will use the ruler to measure the dimensions of a block of pure aluminum metal. Make sure…

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Q: In meters, what is the displacement traveled fromt = 10 sec to t = 25 sec? To correctly calculate…

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Q: s is a distance with unit [L], t is a time with unit [T] and θ is an angle in radians. a. Find…

A: Units of S (distance) = [L] Units of t (time) = [T] Units of angle = radians

Q: a) Acceleration is described as space divided by time squared. Determine the dimensions of…

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Q: If the distance dd (in meters) traveled by an object in time tt (in seconds) is given by the formula…

A: Given data:  Distance d in meters d = A + Bt2  Time (t) in seconds  Required: The SI units of A and…

Q: The quantity p = 3.14159c is a number with no dimensions, since it is a ratio of two lengths.…

A: Given:-                The quantity p = 3.14159 c is a number with no dimensions, since it is a…

Q: 1. Some measurements require measuring devices that are flexible, others do not. Use your tape…

A: Solution:- The solution of the first question is, as follows Since,  1cm = 10-2 m Hence,   a) Height…

Q: Which of the following statements is correct? OAf an equation.is dimensionally correct it must be…

A: For am equation to be correct, the RHS and LHS of an equation should have same dimension. But not…

Q: Problem 1: A rectangular box is h = 4.5 inches in height, w = 39.5 cm wide, and L = 1.1 yards long.…

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Q: The area of a circle is given by ar? where r is the radius. This can be written as area = (tr) × r.…

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Q: Question 1 (1.1) Which one is a larger quantity: 1 002 millilitres or 10 decilitres? (1.2) The two…

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Q: A pyramid has a height of 481 ft , and its base cover W area of 13.0 acres ( Fig . P1.20 ) . The…

A: Given, height, h = 481 ft base area, b = 13.0 acres 1 acre = 43560 ft2  1 ft = 0.3048 m 1 ft3=0.3048…

Q: Consider the equation y = mt +b, where the dimension of y is length and the dimension of t is time,…

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Q: The micrometer (1 um) is often called the micron. (a) How many microns make up 5.5 km? (b) How many…

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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.