1) A metal cylinder has a length of 5 cm and diameter 2 cm. What percent uncertainty is introduced into the calculated circumference by an uncertainty of 0.01 cm in the diameter measurement? What percent uncertainty does this introduce in the calculated volume?

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: The radius of a circle is measured to be (11.7 ± 0.7) m. Calculate each of the following and give…

A: in this question  we find area and circumference of circle . it depend upon it's radius.

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

A: As all the-given values are of three significant decimal digits so answer should also be rounded off…

Q: The radius of a circular disk is given as 28 cm with a maximum error in measurement of 0.2 cm. Use…

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Q: A student measured the length of a table to be 65 cm, but the table was actually 62 cm long. What…

A: Given data: Measured length lm=65 cm Actual length la=62 cm

Q: A member in your group writes a length measurement as 2.26 ± 0.2 . The first term, 2.26, is called…

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Q: compute the percentage of uncertainty for volume of a spherical ball whose radius , r = ( 0.88 ±…

A: Uncertainity was the first big step towards quantum world. It was this thinking of uncertainity…

Q: (a) If your speedometer has an uncertainty of 2.0 km/h at a speed of 90 km/h, what is the percent…

A: The percentage uncertainty can be obtained as

Q: 1) Perform the indicated mathematical operations. State the uncertainty of the final answer as ±…

A: In the given question, the calculations can be performed as,

Q: What is the uncertainty, (±), of: (a) 9.5 cm (b) 17 mL (c) 2.0100 g

A: uncertainty is the values which cannot be precisely or accurately measure with a given set of…

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: A car speedometer has a 8% uncertainty. What is the range of possible speeds (in km/h) when it reads…

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Q: e 3. 955 ± 0. 1. Calculate

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Q: A car speedometer has a 8% uncertainty. What is the range of possible speeds (in km/h) when it reads…

A: Given:- ∆vv×100= 8% v= 50 km/h

Q: The radius of a solid sphere is measured to be (6.30 i 0.30) cm, and its mass is measured to be…

A: (given) Radius of the sphere = 6.30 cm = 6.30×10-2 m Uncertainty in the radius δr = 0.30 cm =…

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: Quantity Al Pb Length (m) 0.088 + 0.001 0.037 + 0.001 Diameter (m) 0.0268 + 0.0001 0.0246 + 0.0001…

A: For Aluminium: The volume of the water displaced by the aluminium is denoted here by V. The buoyant…

Q: Two piles of sand are combined to make a larger pile. The mass of the first pile of sand is 30 kg ±…

A: The mass of the first pile: The mass of the first pile:

Q: After carrying out repeated measurements for the height of a building and making the calculations,…

A: Given in question -  Height of building(H)= 46.857 m…

Q: Which of the following pairs of measured numbers have the same uncertainty or error in both numbers?…

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Q: A rectangle has a length of (5.1 ± 0.2) m and a width of (2.3 ± 0.1) m. Calculate: (a) the area and…

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Q: Question 2: Complete the following Error Analysis The lengths of the sides of a rectangular box are…

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