A cyclotron has an oscillator frequency 12MHz and a dee of radius 50 cm. Calculate the magnetic induction needed to accelerate deuterons of mass 3.3 × 10-27kg and charge 1.6 × 10-19 C

Question

A cyclotron has an oscillator frequency 12MHz and a dee of radius 50 cm. Calculate the magnetic induction needed to accelerate deuterons of mass 3.3 × 10-27kg and charge 1.6 × 10-19 C (A) 1.55 wb/m2 (B) 2.55 wb/m2 (C) 0.55 wb/m2 (D) 3.55 wb/m2

Tardigrade Admin · Accepted Answer

B=(2 π mvc/q) =(2(3.14)(3.3 × 10-27)(12 × 106)/1.6 × 10-19)Wb/m2 =1.55wb/m2

Q. A cyclotron has an oscillator frequency 12MHz and a dee of radius 50 cm. Calculate the magnetic induction needed to accelerate deuterons of mass $3.3 \times 1 0^{- 27} k g$ and charge $1.6 \times 1 0^{- 19} C$

$1.55 w b / m^{2}$

$2.55 w b / m^{2}$

$0.55 w b / m^{2}$

$3.55 w b / m^{2}$

$B = \frac{2 π m v _{c}}{q}$
$= \frac{2 ( 3.14 ) ( 3.3 \times 1 0 ^{- 27} ) ( 12 \times 1 0 ^{6} )}{1.6 \times 1 0 ^{- 19}} Wb / m^{2}$
$= 1.55 w b / m^{2}$

Q. A cyclotron has an oscillator frequency 12MHz and a dee of radius 50 cm. Calculate the magnetic induction needed to accelerate deuterons of mass 3.3×10−27kg and charge 1.6×10−19C

1.55wb/m2

2.55wb/m2

0.55wb/m2

3.55wb/m2