Comprehension \( \quad \) When numbers having uncertainties or errors are used to compute other ...

Channel:
PW Solutions
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=nCsFPAK86nk


Duration: 3:20
3 views
0

Comprehension \( \quad \) When numbers having uncertainties or errors are used to compute other numbers, these will be uncertain. It is especially important to understand this when a number obtained from measurements is to be compared with a value obtained from theoretical prediction. Assume a student wants to verify the value of \( \pi \) as the ratio of circumference to diameter of a circle. The correct value of ten digits is 3.141592654 . He draws a circle and measures its diameter and circumference to its nearest millimeter obtaining the values \( 135 \mathrm{~mm} \) and \( 424 \mathrm{~mm} \), respectively. Using a calculator he finds \( \pi=3.140740741 \).
What is the value of \( \pi \) in the passage measured by the student?
(a) 3.140
(b) 3.141
(c) 3.1407
(d) 3.14
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-06-19In Column-I, some physical quantities are given and some possible SI units are given in Column-I...
2023-06-19The time period of oscillation of a body is given by \[ T=2 \pi \sqrt{\frac{m g A}{K}} \] \( K \...
2023-06-19Suppose two students are trying to make a new measurement system so that they can use it like a ...
2023-06-19The radius of a sphere is measured to be \( 5.3 \pm 0.1 \mathrm{~cm} \). Calculate percentage er...
2023-06-19Match the following \begin{tabular}{|c|l|c|l|} \hline \multicolumn{2}{|c|}{ Column-I } & \multic...
2023-06-19Using the approximation \( (1+x)^{n}=1+n x,|x|1 \) Find the value of \( \sqrt{99} \).
2023-06-19Comprehension \( \quad \) When numbers having uncertainties or errors are used to compute other ...
2023-06-19Comprehension When numbers having uncertainties or errors are used to compute other numbers, the...
2023-06-19Comprehension \( \quad \) Max Planck noted in 1899 the existence of a system of units based on t...
2023-06-19Comprehension Max Planck noted in 1899 the existence of a system of units based on the three fun...
2023-06-19Comprehension \( \quad \) When numbers having uncertainties or errors are used to compute other ...
2023-06-19Comprehension \( \quad \) Max Planck noted in 1899 the existence of a system of units based on t...
2023-06-19Comprehension The Van-der waals equation is \( \left(P+\frac{a}{V^{2}}\right)(V-b)=n R T \), whe...
2023-06-19A chunk of unknown rock masses \( 38.254 \pm 0.003 \) grams and has a volume of \( 15.0 \mathrm{...
2023-06-19Comprehension The Van-der waals equation is \( \left(P+\frac{a}{V^{2}}\right)(V-b)=n R T \), whe...
2023-06-19Comprehension The Van-der waals equation is \( \left(P+\frac{a}{V^{2}}\right)(V-b)=n R T \), whe...
2023-06-19A student taking a quiz finds on a reference sheet the two equations \( v=1 / T \) and \( v=\sqr...
2023-06-19Using screw gauge the diameter of the wire is found to be \( 5.00 \mathrm{~mm} \). The length of...
2023-06-19The power for the hovering helicopter depends on the factors, its linear size, the density of ai...
2023-06-19The quantity/quantities that does/do not have mass in its/ their dimensions (when we take standa...
2023-06-19A student curiously picks up Resnick and Halliday and tries to understand the answers given at t...