Answer :

Magnitude of the electric field : E = 1000 NC–1
Separation between the plates: r = 2 cm = 0.02 m
Angle made by the projection with the field : θ = 60°

Formula used:
The Potential difference is:
V = -E.r
Here, E is the electric field and r is the separation between the plates.
V = - 1000 × 0.2
V = -200 = |-200| = 200 V

Hence, the potential difference between the plates is of 200 V
Charge on an electron: e = -1.6× 10-19 C
We know that
Where F is the electric force, E is the electric field, m is the mass of the body and a is the acceleration of the body.
Here, q=e of electron. And m = 9.7× 10-31 kg mass of the electron.

Using one of the equations of motion we get,

Here, v is the final velocity of the electron= 0
Here v is zero as it we have to calculate u when it just reaches the upper plate, u is the initial velocity of the electron, s is the distance between the plates: s=r and a is the acceleration of the electrons

Hence, with a minimum speed of 2.64× 106 m/s2 should the electron be projected from the lower plate in the direction of the field for it to reach the upper plate.
As direction of projection makes an angle 60° with the electric field.
Initial velocity is resolved into its cos component which is along the direction of the electric field as shown in the figure above.
Hence, u’=ucos(60° ), u’ is the resolved initial velocity.
Using the same equation of motion used in (b) we get,
Where h is the maximum height reached by the electron.

Hence, the maximum height reached by the electron is 4.7× 10-3 m.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses

(a) In a quark moPhysics - Exemplar

A uniform field oHC Verma - Concepts of Physics Part 2

The work done to Physics - Exemplar

A uniform electriHC Verma - Concepts of Physics Part 2

Equipotential surPhysics - Exemplar

If a conductor haPhysics - Exemplar

Two charges q<subPhysics - Exemplar

Two charges –q eaPhysics - Exemplar

Two point chargesPhysics - Exemplar

Calculate potentiPhysics - Exemplar