Question

Protons and singly ionized atoms of U²³⁵ and U²³⁸ are passed in turn (which means one after the other and not at the same time) through a velocity selector and then enter a uniform magnetic field. The protons describe semicircles of radius 10 mm. The separation between the ions of U²³⁵ and U²³⁸ after describing the semicircle is given by ______.

Options

• 60 mm

• 30 mm

• 2350 mm

• 2380 mm

Answer 1

Protons and singly ionized atoms of U²³⁵ and U²³⁸ are passed in turn (which means one after the other and not at the same time) through a velocity selector and then enter a uniform magnetic field. The protons describe semicircles of radius 10 mm. The separation between the ions of U²³⁵ and U²³⁸ after describing the semicircle is given by 60 mm.

Explanation:

`r_235 = (235m_pv)/(eB)`

= 235 × 10

= 2350 m

`r_238 = (238m_pv)/(eB)`

= 2380 mm

The separation between the ions of U²³⁵ and U²³⁸.

= 2(r₂₃₈ - r₂₃₅)

= 2 × (2380 - 2350)

= 60 mm