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Question: In a Thomson set-up for the determination of *e/m,* electrons accelerated by 2.5 *kV* enter the regi...

In a Thomson set-up for the determination of e/m, electrons accelerated by 2.5 kV enter the region of crossed electric and magnetic fields of strengths 3.6×104Vm13.6 \times 10 ^ { 4 } \mathrm { Vm } ^ { - 1 } and 1.2×103T1.2 \times 10 ^ { - 3 } T respectively and go through undeflected. The measured value of e/m of the electron is equal to

A

1.0×10111.0 \times 10 ^ { 11 }C-kg-1

B

1.76×10111.76 \times 10 ^ { 11 } C-kg-1

C

1.80×10111.80 \times 10 ^ { 11 } C-kg-1

D

1.85×10111.85 \times 10 ^ { 11 } C-kg-1

Answer

1.80×10111.80 \times 10 ^ { 11 } C-kg-1

Explanation

Solution

By using em=E22VB2\frac { e } { m } = \frac { E ^ { 2 } } { 2 V B ^ { 2 } }