A proton has a mass 1.67 × 10-27 kg and charge +1.6 × 10-19 C. If the proton is accelerated through a potential difference of million volts, then the kinetic energy is

Question

A proton has a mass 1.67 × 10-27 kg and charge +1.6 × 10-19 C. If the proton is accelerated through a potential difference of million volts, then the kinetic energy is (A) 1.6 × 10-15 J (B) 1.6 × 10-13 J (C) 1.6 × 10-21 J (D) 3.2 × 10-13 J

Tardigrade Admin · Accepted Answer

(1.6 × 10-19)(106) =(1/2)(1.67 × 10-27) v2 1.6 × 10-13=(1.67/2) × 10-27 v2= KE KE =1.6 × 10-13 J

Q. A proton has a mass $1.67 \times 1 0^{- 27} k g$ and charge $+ 1.6 \times 1 0^{- 19} C$ . If the proton is accelerated through a potential difference of million volts, then the kinetic energy is

$1.6 \times 1 0^{- 15} J$

$1.6 \times 1 0^{- 13} J$

$1.6 \times 1 0^{- 21} J$

$3.2 \times 1 0^{- 13} J$

$(1.6 \times 1 0^{- 19}) (1 0^{6})$
$= \frac{1}{2} (1.67 \times 1 0^{- 27}) v^{2}$
$1.6 \times 1 0^{- 13} = \frac{1.67}{2} \times 1 0^{- 27} v^{2} = K E$
$K E = 1.6 \times 1 0^{- 13} J$

Q. A proton has a mass 1.67×10−27kg and charge +1.6×10−19C. If the proton is accelerated through a potential difference of million volts, then the kinetic energy is

1.6×10−15J

1.6×10−13J

1.6×10−21J

3.2×10−13J