Question 1. Two students, student A and student B measure the quantity X Student A gives the result as X= (278.27 + 0.18) cm Student B gives the result as X= (278.22 ±0.03) cm Tick the box of the student that wrote the result correctly. Correct mistake of the other student: X = ( ) cm

Q: Question 1. For a cone with a base radius of 0.45 m and a height of 2.18 m, if the error in the…

A: Here given the radius of a cone is 0.45 m and the height is 2.18 m. The error in the radius is E1,in…

Q: 11.3. Exercises and Problems 1. A uniform silver sphere and a uniform gold sphere have the same…

A: The density of an object is given by : d=mV Where m is the mass and V is the volume of the object…

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Q: Carry out the following arithmetic operations: (a) the sum of the measured values 756, 37.2, 0.83,…

A: (a) In addition, the result is rounded to least number of significant figures after the decimal The…

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

Q: Problem 1.12 The height of a certain hill (in feet) is given by h(x, y) = 10(2xy-3x2 - 4y? – 18x +…

A: Given: The height of a certain hill is hx,y=102xy-3x2-4y2-18x+28y+12.   (a)   The expression to…

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A: "As per the guidelines i solved the first question alone". 1. The radius of the cylinder is,…

Q: 1. A cylinder has a radius of 4.6 ± 0.4 cm and a height of 5.36± 0.3 cm. (a) Find the volume of this…

A: a) The volume of the cylinder is,

Q: Carry out the following arithmetic operations: (a) the sum ofthe measured values 756, 37.2, 0.83,…

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Q: Find the area of the area bounded by the given curves. Draw a figure showing the region and a…

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Q: 16. How many significant figures are there in 60.5? Express your answer in numbers (1,2,3,4,5, etc.)…

A: (16) The quantity is given as x=60.5

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: 1. Which one of the quantities below has dimensions equal to ML а) ту b) ту? mv? d) mrv. e)

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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: Three players on a reality TV show are brought to the center of a large, flat field. Each is given a…

A: What does she calculate?Given,displacements:A: 72.4 m, 32.0˚ east of north  B: 57.3 m, 36.0˚ south…

Q: Convert 150 cm1.5 to an equivalent number of m1.5, given that 100 cm = 1 m   Give your answer to 2…

A: It is given that, 1 cm=10-2 m. It is required to convert 150 cm1.5 into m1.5.

Q: Which of the following equations are dimensionally correct?(a) v f=vi +ax(b) y=(2m)cos(kx), where…

A: To determine: Which of the following equations are dimensionally correct?(a) v f=vi +ax(b)…

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

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Q: Determine the following for a point with the rectangular coordinates (1.060, 2.930) m. (a) the polar…

A: Rectangular coordinates of a point = (1.06, 2.93) m to find : polar coordinates of this point

Q: In A= B" C" expression, A has a dimension of [LT], and B has a dimension of [L²T']. If C has a…

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Q: Give an example of (a) a physical quantity which has a unit but no dimensions. (b) a physical…

A: Dimension analysis

Q: When you perform the following operations, how many significant figures should your answer have?…

A: 11.13 kg+22.2 g=? 22.2 g=22.2/1000=0.0222 kg

Q: following

A: Scientists all over the world have adopted the international system of units for physical…

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A: Here given scale is cm scale. (2) 7.7 cm (2 significant figures)

Q: The height of a door is measured by four people and their measured values are 217.0 cm, 217.8 cm,…

A: a) Average value of measurements is given by,

Q: 6. Using dimensional analysis, evaluate the following and report in the unit required. Be sure to…

A: According to question we need to solve above problem with right unit .

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

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Q: Determine the dimensions of the derivative  dx/dt = 3At2 + B.

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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: • Which of the following equations are dimensionally correct? (a) Vf=v₁ + ax (b) y = (2 m) cos(kx),…

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Q: 14. How many significant figures are there in 0.0006? Express your answer in numbers (1,2,3,4,5,…

A: Significant figures are defined as the digits present in the number which are meaningful and provide…

Q: Practice) a. To convert feet (ft) to meters (m), the number of feet should be multiplied by which of…

A: 2. (a) As we know, 1 m=3.28 ft To convert feet to meters. 1 ft1 m3.28 ft=1 m3.28 Thus, option (i)…

Q: Based **ONLY** on dimensional analysis considerations, which of the following equations **could**…

A: This is the topic of dimensional analysis.

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: Suppose A = BC, where A has the dimension L/M and C has the dimension L/T. Then B has the dimension:

A: In dimensional analysis, the dimension of right hand side of the equation should be equal to the…

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: 17. Estimate the following: a. The length of your shoe in centimeters. b. The number of times your…

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Q: 6. Using dimensional analysis, evaluate the following and report in the unit required. Be sure to…

A: The physical quantities can be added or subtracted which have the same dimensions. Dimensional…

Q: A block of gold has a length of 5.62 cm. width of 6.35 cm and height of 2.78 cm. (a) Calculate the…

A: Given that:Length, l=5.62 cmWidth, b=6.35 cmHeight, h=2.78 cm

Q: 13. Complete these multiplication problems. Write the product as a least precise measurement. a.…

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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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Estimate of calculation