Question

In a mass spectrograph mass number and charge of ion A are 24 and +2e respectively. Mass number and charge of ion B are 22 and +e. If both ions has same speed and the radius of path traced by ion A is 24 cm then radius of path traced by ion B will be

• A. 55 cm
• B. 11 cm
• C. 44 cm
• D. 24 cm

Answer 1

The correct option is C 44 cm

A: $r=\frac{mv}{qB}$

$\Rightarrow 24=\frac{24\times v}{2\times B}\to \left(1\right)$

B: $r=\frac{22\times v}{1\times B}\to \left(2\right)$

Dividing $2$ by $1$

$\Rightarrow \frac{r}{24}=\frac{22v}{B}\frac{2B}{24v}$

$\Rightarrow r=44cm$