Class 11 Exam > Class 11 Questions > A dust particle having mass equal to 10^-11g ...
Start Learning for Free
A dust particle having mass equal to 10^-11g and velocity 10^-4 cm/s. calculate uncertainty in its position?
Most Upvoted Answer
A dust particle having mass equal to 10^-11g and velocity 10^-4 cm/s. ...
Uncertainty in Position of a Dust Particle
Position of a particle is uncertain due to its velocity and mass. To calculate the uncertainty in the position of a dust particle, we can use the Heisenberg Uncertainty Principle, which states that the product of the uncertainties in position and momentum of a particle is always greater than or equal to a certain constant.
Given Parameters:
- Mass (m) = 10^-11 g
- Velocity (v) = 10^-4 cm/s
Heisenberg Uncertainty Principle:
Δx * Δp ≥ h/4π
Where:
- Δx is the uncertainty in position
- Δp is the uncertainty in momentum
- h is the reduced Planck constant (h/2π)
Calculating Uncertainty in Momentum:
Momentum (p) = mass * velocity
Δp = mass * Δv + velocity * Δm
Δp = 10^-11 * Δ(10^-4) + 10^-4 * Δ(10^-11)
Δp = 10^-15 + 10^-15
Δp = 2 * 10^-15 g*cm/s
Using Uncertainty Principle to find Uncertainty in Position:
Δx * 2 * 10^-15 ≥ h/4π
Δx ≥ h/(2 * 10^-15 * 4π)
Δx ≥ 1.05 * 10^-10 cm
Therefore, the uncertainty in the position of the dust particle is approximately 1.05 * 10^-10 cm. This uncertainty arises due to the particle's mass and velocity, as described by the Heisenberg Uncertainty Principle.
Community Answer
A dust particle having mass equal to 10^-11g and velocity 10^-4 cm/s. ...
The question is incomplete
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
A dust particle having mass equal to 10^-11g and velocity 10^-4 cm/s. calculate uncertainty in its position?
Question Description
A dust particle having mass equal to 10^-11g and velocity 10^-4 cm/s. calculate uncertainty in its position? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A dust particle having mass equal to 10^-11g and velocity 10^-4 cm/s. calculate uncertainty in its position? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A dust particle having mass equal to 10^-11g and velocity 10^-4 cm/s. calculate uncertainty in its position?.
A dust particle having mass equal to 10^-11g and velocity 10^-4 cm/s. calculate uncertainty in its position? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A dust particle having mass equal to 10^-11g and velocity 10^-4 cm/s. calculate uncertainty in its position? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A dust particle having mass equal to 10^-11g and velocity 10^-4 cm/s. calculate uncertainty in its position?.
Solutions for A dust particle having mass equal to 10^-11g and velocity 10^-4 cm/s. calculate uncertainty in its position? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of A dust particle having mass equal to 10^-11g and velocity 10^-4 cm/s. calculate uncertainty in its position? defined & explained in the simplest way possible. Besides giving the explanation of
A dust particle having mass equal to 10^-11g and velocity 10^-4 cm/s. calculate uncertainty in its position?, a detailed solution for A dust particle having mass equal to 10^-11g and velocity 10^-4 cm/s. calculate uncertainty in its position? has been provided alongside types of A dust particle having mass equal to 10^-11g and velocity 10^-4 cm/s. calculate uncertainty in its position? theory, EduRev gives you an
ample number of questions to practice A dust particle having mass equal to 10^-11g and velocity 10^-4 cm/s. calculate uncertainty in its position? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup