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when a proton is released from rest in a...

when a proton is released from rest in a room, it starts with an initial acceleration `a_0` towards west . When it is projected towards north with a speed `v_0,` it moves with an initial acceleration `3a_0` towards west. Find the elecrtic field and the minimum possible magnetic field in the room.

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When proten released from rest if gots ao acceleration towards west ,
` I e qE = ma_0`
` rArr E = (ma_0 ) /(q) towards west `
When it projected toward north with velocity v_o' then force on proton
` vecF = q vecu_0 + vecB _0`
` |vecF| = qu_0 B `
`rArr B = (|vecF)|/(qu_0)
Acceleration towards west due to force
` = 3 a_0 - a_0 = 2a_0 `
Hence required magnetic field
` B = (2ma_0) /(qu_0) `
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