Least count error Vs Least count

AI Thread Summary
Least count is defined as the smallest measurement that a measuring device can accurately provide, while least count error refers to the error linked to the resolution of that instrument. The discussion highlights confusion regarding how an observer can introduce least count error when the least count is predetermined by the manufacturer. An example illustrates that with a foot ruler marked in millimeters, the least count is 1 mm, meaning any measurement taken could have a maximum error of ±1 mm. This implies that the actual value could vary within a range, reinforcing the concept that least count error represents the maximum possible error in measurements. Overall, the understanding of least count error is crucial for accurate measurement interpretation.
vcsharp2003
Messages
913
Reaction score
179
Homework Statement
How is least count error different from least count?
Relevant Equations
None
I know that least count is the smallest measurement that is possible with a measuring device. But I fail to understand the exact meaning of least count error. According to my textbook, the following is the definition of least count error.

"Least count error is the error associated with the resolution of the instrument."

I checked online and saw a similar definition on Wikipedia too.

I cannot still figure out an example of least count error? It seems that least count error is like coming up with a wrong least count, but the least count is already specified by the manufacturer of measuring device and so how can an observer introduce least count error when using the device.

An example would help. Normally, vernier callipers and micrometer screw gauge have standard formulas into which we substitute least count directly. Where is the error associated with least count in such cases?
 
Physics news on Phys.org
Maybe least count error is nothing but the fact that with a measuring device the maximum possible error is the least count of device. For example with a foot ruler that has mm markings, the least count would be 1 mm and if we measure the length of something as 10.3 cms with this device, then the max error will be ##\pm 1## mm i.e. the actual reading could lie anywhere between 10.2 cms to 10.4 cms, or we could say that the measured value is ##10.3 \pm 0.1## cms.

Does above sound what least count error is?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
Thread 'Correct statement about a reservoir with an outlet pipe'
The answer to this question is statements (ii) and (iv) are correct. (i) This is FALSE because the speed of water in the tap is greater than speed at the water surface (ii) I don't even understand this statement. What does the "seal" part have to do with water flowing out? Won't the water still flow out through the tap until the tank is empty whether the reservoir is sealed or not? (iii) In my opinion, this statement would be correct. Increasing the gravitational potential energy of the...
Thread 'A bead-mass oscillatory system problem'
I can't figure out how to find the velocity of the particle at 37 degrees. Basically the bead moves with velocity towards right let's call it v1. The particle moves with some velocity v2. In frame of the bead, the particle is performing circular motion. So v of particle wrt bead would be perpendicular to the string. But how would I find the velocity of particle in ground frame? I tried using vectors to figure it out and the angle is coming out to be extremely long. One equation is by work...

Similar threads

Back
Top