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T asked in Science & MathematicsPhysics · 4 years ago

In a mass spectrometer, a singly charged ion having a particular velocity is selected by using a magnetic field of 0.14 T?

In a mass spectrometer, a singly charged ion having a particular velocity is selected by using a magnetic field of 0.14 T

perpendicular to an electric field of 1.5×103 V/m

. A magnetic field of this same magnitude is then used to deflect the ion, which moves in a circular path with a radius of 1.3 cm

WHAT IS THE MASS OF THE ION

1 Answer

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  • ?
    Lv 7
    4 years ago

    Let us the formula

    R= gyro radius= 1.3*10^(-2) = m v/(qB), m is the mass

    q= charge =1.6+10^(-19)

    B= 0.14 T.

    To find v velocity

    use

    1/2 m v^2 = q V= q*1.3*10^3 V.

    When you simplify for mass m you get

    m=R^2*B^2*q/(2*1.5*10^3)

    I get mass

    m=1.7*10^(-28 kg)

    You check the result.

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