Question

A storage ring of radius 45m at a high energy accelerator has a 18A circulating beam of electrons. The electrons are moving so fast that their speed can be taken as 3 × 10⁸ m/s. Number of electrons in the beam is -

• A. 16 × 10¹⁶
• B. 1.06 × 10¹⁴
• C. 2.24 × 10¹⁶
• D. 4.8 × 10¹⁵

Answer 1

Answer: (B)

1.06 × 10¹⁴

Answer 2

i = Ž q = & q = ne

n = $\frac { 2 \pi \mathrm { ri } } { \mathrm { ev } } = \frac { 2 \times 3.14 \times 45 \times 18 } { 1.6 \times 10 ^ { - 19 } \times 3 \times 10 ^ { 8 } }$

= 1.059 × 10¹¹= 1.06 × 10¹⁴