Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

A particle of charge + q and mass m moving under the influence of a uniform electric field E i and a uniform magnetic field B k follows trajectory from P to Q as shown in fig. The velocities at P and Q are v i and - 2 v j respectively. Which of the following statements (s) is/are correct

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya

a

E=34mv2qa

b

rate of work done by electric field at P is 34mv2qa

c

rate of work done by electric field at P is zero

d

rate of work done by both the fields at Q is zero

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

(i) W=(K.E.)Q−(K.E.)P∴ qE×2a=12m(2v)2−12mv2or qE×2a=12m×3v2E=34mv2qa(ii) The rate of work done by electric field at P=Fv=qEv=q34mv2qav=34mv3a(iii) At Q, the force due to electric field is q E along X-axis. Here velocity v is along negative y-axis. Hence rate of doing work Fe .v= 0            ∵θ=90∘The force due to magnetic fieldFm = q (v x B)Here Fm- is also perpendicular to velocity vector v,∴ Rate of doing work in magnetic fieldFm. v = 0
Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon
personalised 1:1 online tutoring
A particle of charge + q and mass m moving under the influence of a uniform electric field E i and a uniform magnetic field B k follows trajectory from P to Q as shown in fig. The velocities at P and Q are v i and - 2 v j respectively. Which of the following statements (s) is/are correct