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An alpha-particle is accelerated by a po...

An `alpha-`particle is accelerated by a potential difference of `10^4 V.` Find the change in its direction of motion, if it enters normally in a region of thickness 0.1 m having transverse magnetic induction of 0.1 tesla. (Given: mass of `alpha-`particle `6.4xx10^(-27)`kg).

Text Solution

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The correct Answer is:
`[theta = 30^(@)]`
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(a) A charged particle having mass m and charge q is accelerated by a potential difference V , it flies through a uniform transverse magnetic field B . The field occupies a region of space d . Find the time interval for which it remains inside the magnetic field. (b) An alpha -particle is acceleration by a potential difference of 10^(4) V . Find the change in its direction of motion if it enters normally in a region of thickness 0.1 m having transverse magnetic induction of 0.1 T . (m_(alpha) = 6.4 xx 10^(-27) kg) . ( c) A 10 g bullet having a charge of 4 muC is fired at speed of 270 m//sec in a horizontal direction. A vertical magnetic field of 500 muT exists in the space. Find the deflection of the bullet due to the magnetic field as it travels through 100 m . Make appropriate approximations.

A charged particle having mass m and charge q is acceleration by a potential difference V, it files through a uniform tranverse magnetic field b.The field occupies a region of space d.Find the time interval for which it remains inside the magnetic field (i) An alpha particle is acceleration by a potential difference of 10^(4) V. Find the change in tis direction of motiom if it enters normally in a region of thicknees 0.1 , having transverse magnetic induction of 0.1T(m_(aplha)=6.4xx10^(-27)kg) (ii) a 10 g bullet having a charge of 4muC is fired at a speed 270ms^(-1) in a horizontal direction,A vertical magnetic field as it travels through 100 m .Make appropriate approximations

Knowledge Check

  • An alpha - particle is accelerated by a potential different of 10^(-4) V. Find the change in its direction of mass it enters normally in induction of 0.1 T. Magentic with is in width of 0.1 m in the direction of intinal values. (m_(alpha) = 6.4 xx 10^(-27) kg) .

    A
    `30^(@)`
    B
    `45^(@)`
    C
    `60^(@)`
    D
    `90^(@)`

  • An alpha particle is acceleration through a potential difference of 10^(6) volt. Its kinetic energy will be

    A
    1MeV
    B
    2MeV
    C
    4MeV
    D
    8MeV

  • A proton and an alpha particle accelerated through the same potential difference enter a region of uniform magnetic field normally if the radius of the proton orbit is 10 cm ten radius of alpha particle is

    A
    `10 cm`
    B
    `10sqrt(2)cm`
    C
    `20cm`
    D
    `5sqrt(2)cm`

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