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Q.

A uniform magnetic field with a slit system as shown in fig.is to be used as a momentum filter for high-energy charged particles' With a field Btesla' it is found that the filter transmits α-particles each of energy 5 3 MeV. The magnetic field is increased to2.3 B tesla and deuterons are passed into the filter' The energy of each deuteron transmitted by the filter is

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a

12 MeV

b

14MeV

c

16 MeV

d

20 MeV

answer is B.

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Detailed Solution

Heremv2R=qvB  or  mv=p=qBRso, Energy E=p22m=q2B2R22mEα=4e2×B2×R22×4mp,mp= massofproton Ed=e2×(2⋅3B)2×R22×2mp∴ EdEα=(2⋅3)22  or  Ed=(2⋅3)2×5⋅32 =14MeV
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A uniform magnetic field with a slit system as shown in fig.is to be used as a momentum filter for high-energy charged particles' With a field Btesla' it is found that the filter transmits α-particles each of energy 5 3 MeV. The magnetic field is increased to2.3 B tesla and deuterons are passed into the filter' The energy of each deuteron transmitted by the filter is