A particle of specific charge q / m = − 2 x 1 0 10 C / k g is travelling with a uniform velocity v 0 i ^ . A uniform steady magnetic field B ˉ is applied perpendicular to X axis for a duration of ti

Question

A particle of specific charge q / m = − 2 x 1 0 10 C / k g is travelling with a uniform velocity v 0 ​ i ^ . A uniform steady magnetic field B ˉ is applied perpendicular to X axis for a duration of time Δ t = π μ s so that the particle's velocity just after removal of the field becomes − v 0 ​ i ^ . Which of the following could be a possible value of B ˉ

TestHub · Accepted Answer

1 ϑB = r m ϑ 2 ​ or m g ​ = B W ​ = TB 2 π ​ ( T 2 π ​ ) Δ t = ( 2 n + 1 ) π or t 2 π ​ = ( 2 n + 1 ) Δ t π ​ ∴ m g ​ = ( Δ t ) B ( 2 n + 1 ) ​ ∴ ( Δ t ) ( g / m ) ( 2 m + 1 ) ​ B = ± B V ​ ​ = ± ( Δ t ) ( U / m ) ( 2 n + 1 ) π ​ = ± π × 1 0 − 6 × 2 × 1 0 10 ( 2 n + 1 ) π B V ​ ​ ​ = ± ( 2 n + 1 ) 5 × 1 0 − 3 B V ​ ​ T

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Options:(select one or more)

Doubts & Discussion

JEE Advanced (2028)