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  4. A particle of mass m and charge q moving with constant velocity v along positive x direction enters a region containing a uniform magnetic fileld B directed along the negative z direction, extending from x=a to x=b . For the particle to enter the region x>b , the minimum value of v is

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Q. A particle of mass $m$ and charge $q$ moving with constant velocity $v$ along positive $x$ direction enters a region containing a uniform magnetic fileld $B$ directed along the negative $z$ direction, extending from $x=a$ to $x=b$ . For the particle to enter the region $x>b$ , the minimum value of $v$ is

NTA AbhyasNTA Abhyas 2020Current Electricity

Solution:

Solution
$R=\frac{mv}{qB}>b-a$
$v=\frac{qB \left(\right. b - a \left.\right)}{m}$