Question

A proton (mass $= 1.67 \times 10 ^ { - 27 } \mathrm {~kg}$ and charge $3.4 \times 10 ^ { 7 } \mathrm {~m} / \mathrm { sec }$. The acceleration of the proton should be

• A. $6.5 \times 10 ^ { 15 } \mathrm {~m} / \mathrm { sec } ^ { 2 }$
• B. $6.5 \times 10 ^ { 13 } \mathrm {~m} / \mathrm { sec } ^ { 2 }$
• C. $6.5 \times 10 ^ { 11 } \mathrm {~m} / \mathrm { sec } ^ { 2 }$
• D. $6.5 \times 10 ^ { 9 } \mathrm {~m} / \mathrm { sec } ^ { 2 }$

Answer 1

Answer: (A)

$6.5 \times 10 ^ { 15 } \mathrm {~m} / \mathrm { sec } ^ { 2 }$

Answer 2

F = ma = qvB ⇒ $a = \frac { q v B } { m } = \frac { 1.6 \times 10 ^ { - 19 } \times 2 \times 3.4 \times 10 ^ { 7 } } { 1.67 \times 10 ^ { - 27 } }$

= 6.5 × 10¹⁵m/sec²