What is the acceleration of an electron in an electron gun?

In summary, the conversation discusses finding the acceleration of an electron in an electron gun of a television set. The electron enters the region with an initial speed of 10^3m/s and emerges with a speed of 4×10^5 m/s after 1 microsecond. The equation vf= vi+at is used to find the acceleration, and the answer obtained is 3.99×10^11. However, the answer provided in the book is 3.99×10^9, indicating a possible mistake in the book.
  • #1
alijan kk
130
5

Homework Statement


Q; In an electron gun of television set, an electron with initial speed of 10^3m/s enters a region where it is electrically accelerated. It emerges out of this region after 1micro sec with speed of 4×10^5 m/s.

(a) Find the acceleration.

Homework Equations


vf= vi+at

The Attempt at a Solution


vf = vi+at
400000= 1000+a*0.000001
400000-1000= a*0.000001
399000=a*0.000001
399000/0.000001= a
3.99×10^11= a
a= 3.99×10^11


The ans in book is 3.99×10^9

Which ans is right ?
Any help would be appreciated :-) :-D ,
Thank you
 
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  • #2
##4.10^5=10^3+a.10^{-6}##
Your ans is right
 
  • #3
Hamal_Arietis said:
##4.10^5=10^3+a.10^{-6}##
Your ans is right
My ans is right !
That means book has a mistake,
Thanks
 

FAQ: What is the acceleration of an electron in an electron gun?

What is a "Simple Kinematics Problem"?

A simple kinematics problem refers to a type of physics problem that involves analyzing the motion of objects without considering the forces that cause the motion. It typically involves using equations and formulas to solve for quantities such as displacement, velocity, and acceleration.

What are the key principles of kinematics?

The key principles of kinematics include distance and displacement, speed and velocity, and acceleration. Distance refers to the total length traveled by an object, while displacement refers to the straight-line distance from the starting point to the end point. Speed is the rate at which an object covers distance, while velocity is the rate at which an object changes its displacement. Acceleration is the rate at which an object's velocity changes over time.

How do you solve a simple kinematics problem?

To solve a simple kinematics problem, you first need to identify the known and unknown variables, such as distance, time, and acceleration. Next, you can use the appropriate kinematic equations, such as d = v0t + 1/2at2 for solving for displacement. Finally, plug in the known values and solve for the unknown variable using basic algebra.

What is the difference between average velocity and instantaneous velocity?

Average velocity refers to the total displacement of an object divided by the total time taken, while instantaneous velocity refers to the velocity of an object at a specific moment in time. Average velocity is calculated over a larger time interval, while instantaneous velocity is calculated at a specific point in time.

What are the common units used in kinematics?

The common units used in kinematics include meters (m) for distance and displacement, meters per second (m/s) for speed and velocity, and meters per second squared (m/s2) for acceleration. Time is typically measured in seconds (s).

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