Request a call back

Join NOW to get access to exclusive study material for best results

JEE Class main Answered

an electron enters a region with velocity v=4i + 6j m/s where an electric field where i= 2i + 3j +6k and magnetic field 2i + 3j t are present what is the magnitude of force experience by electron
Asked by archs370 | 27 May, 2021, 10:47: AM
answered-by-expert Expert Answer
Velocity of electron , begin mathsize 14px style v with rightwards arrow on top end style = ( 4 begin mathsize 14px style i with hat on top end style + 6 begin mathsize 14px style j with hat on top end style ) m/s 
Electric field , begin mathsize 14px style E with rightwards arrow on top end style = ( 2 begin mathsize 14px style i with hat on top end style + 3 begin mathsize 14px style j with hat on top end style + 6 begin mathsize 14px style k with hat on top end style ) N/C
Magnetic field Induction ,  begin mathsize 14px style B with rightwards arrow on top end style = ( 2 begin mathsize 14px style i with hat on top end style + 3 begin mathsize 14px style j with hat on top end style ) T 
 If we observe the given velocity  begin mathsize 14px style v with rightwards arrow on top end style and  begin mathsize 14px style B with rightwards arrow on top end style , we see that  begin mathsize 14px style v with rightwards arrow on top end style | |  begin mathsize 14px style B with rightwards arrow on top end style 
Hence (  begin mathsize 14px style v with rightwards arrow on top end style  ×  begin mathsize 14px style B with rightwards arrow on top end style ) force is zero . 
Hence only electric field is acting on electron to give force F = q begin mathsize 14px style E with rightwards arrow on top end style , where q is charge on electron
F = 1.602 × 10-19 × ( 2 begin mathsize 14px style i with hat on top end style + 3 begin mathsize 14px style j with hat on top end style + 6 begin mathsize 14px style k with hat on top end style )  N
Magnitude of force = 1.602 × 10-19 ×  { 2 × 2 + 3 × 3 + 6 × 6 }1/2 = 1.121 × 10-18 N

Answered by Thiyagarajan K | 27 May, 2021, 11:13: AM
JEE main - Physics
Asked by medhamahesh007 | 02 Apr, 2024, 11:11: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
Asked by chhayasharma9494 | 31 Mar, 2024, 12:47: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
Asked by rishabhtiwari2027 | 21 Mar, 2024, 09:44: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
Asked by mfkatagi099 | 20 Mar, 2024, 09:35: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
Asked by rishabhtiwari2027 | 14 Mar, 2024, 06:13: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
Asked by chingitamkarthik | 07 Feb, 2024, 09:33: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×