Question

3. A cyclotron has an oscillatory frequency of 12 MHz
and a dee radius of 50 cm. Calculate the magnetic
field required to accelerate deutrons of mass
3.3 x 10 kg and charge 1.6 x 10-19 C. What is the
energy of the deutrons emerging from the cyclotron?
​

Answer 1

Answer:

Given:

Charge of deutrons ,q= 1.6 ×10

−19

C

Mass of deutrons, m= 3.3+10

−27

Kg

Oscillator frequency, n =12 MHz = 12 ×10

6

Hz

Radius of dee, r = 50cm = 0.5 m

Solution :

n=

2×

7

22

×m

B×q

⇒B=

7×q

n×2×22×m

⇒B=

7×1.6×10

−19

12×10

6

×2×22×3.3×10

−27

Therefore, B=1.55Wb/m

2

Answer 2

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