Most Important Selected Qs for JEE AdvancedPhysicsOscillations
A particle of charge q and mass m is suspended from a point on the wall by a rigid massless rod of length a =3 ~m as shown. Above the point of suspension we have fixed a particle of charge -q at a distance a. On slight displacement from the mean position, the suspended particle executes SHM. Find the time period of S H M is second. [Take . kq ^2 2 ( a ^2 ) = mg , g = ^2 ]
Correct answer
4
Step-by-step solution
aligned & kq ^2 2 a ^2 = mg - mga [ - / 2 2 ^2 / 2 ]= ma ^2 & - g a [ 2 2 - 2 - / 2 2 ^2 / 2 ]= 2 ~g a [2 2 - 1 ^2 / 2 ]= & for small , 2 =1 ; 2 = 2 ; - g a 2 (1- 1 2 )= ; = 3 ~g 4 a ; =- ^2 & T=2 4 a 3 ~g =2 4 3 3 ^2 =4 sec aligned