CBSE Class 12-science Answered
Q - 17
Asked by majethiyarishat9566.12sdatl | 24 Oct, 2020, 02:21: PM
Expert Answer
When electron travels a distance l and is subjected to electric field that gives angular deflection θ , then vertical deflection is l sin θ as shown in figure.
Since acceleration is in a direction perpendicular to the motion of electron, we get the relation that relates vertical deflection and acceleration a as
l sinθ = (1/2) a t2 ................ (1)
where t is time travelled through the length of plates , hence if v is inital speed of electron , t = l/v
Hence, by substituting t = l/v and after simplification, we get acceleration a from eqn.(1) as
a = ( 2 v2 sinθ ) / l ............................. (2)
Force acting on electron, F = m a = q E = q (V/d) .................(3)
where m is mass of electron, q is charge of electron , E is electric field intensity and
V is potential difference across plates that are separated by a distance d .
Hence from eqn.(2) and eqn.(3) , we get potential difference V as
V = ( 2 × d × m × v2 sinθ )/ ( q × l ) ................(4)
Let us substitute following values fro respective quantities in eqn.(4)
d = 0.5 × 10-2 m ; m = 9.1 × 10-31 kg ; v = 8 × 106 m/s ; sinθ ≈ θ = 0.04 ;
q = 1.602 × 10-19 C ; l = 2 × 10-2 m
by substituting these values of respective quantities in eqn. (4) , we get Potential differece V = 7.3 Volt
Answered by Thiyagarajan K | 24 Oct, 2020, 03:36: PM
Concept Videos
-
Electric Charge - Part 1
This video describes the concept of charge, conductors and insulators, and ... -
Gold Leaf Electroscope - Part 1
This video explains the basic properties of electric charges. -
Coulom's Law of Electric Force - Part 1 ...
This video describes Coulomb's law to calculate the force between any two p... -
All about electric fields
Define electric field in terms of Coulomb's force. Apply superposition prin... -
Electric Field Lines
This video explains the representation of electric field due to a single ch...
CBSE 12-science - Physics
Asked by divakar.9124 | 27 Apr, 2024, 10:42: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by panneer1766 | 24 Apr, 2024, 01:52: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by artabandhusahu85 | 24 Apr, 2024, 12:07: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by niharvijayvargiya5 | 23 Apr, 2024, 06:40: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by kulhariabhijeet | 21 Apr, 2024, 02:39: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by mohapatraswetalina88 | 21 Apr, 2024, 12:18: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by aishaisha091098 | 19 Apr, 2024, 04:54: PM
ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by dasrituparna1999 | 13 Apr, 2024, 06:56: AM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by dasrituparna1999 | 12 Apr, 2024, 09:26: PM
ANSWERED BY EXPERT
