A particle of mass 5gm and charge 12×10^-9 travels a distance of 300cm...
Calculation of acceleration of a particle across a potential difference of 500 volts
Given:
Mass of particle, m = 5 gm
Charge of particle, q = 12 × 10^-9
Distance travelled by particle, d = 300 cm
Potential difference, V = 500 volts
Formula:
The acceleration of a charged particle moving through a potential difference can be calculated using the formula:
a = (qV) / (md)
Calculation:
Substituting the given values in the formula:
a = (12 × 10^-9 × 500) / (5 × 10^-3)
a = 120 × 10^-6 / 5 × 10^-3
a = 24 m/s^2
Explanation:
When a charged particle moves through a potential difference, it gains kinetic energy. This energy can be converted into the particle's kinetic energy, which results in acceleration. The acceleration of a charged particle moving through a potential difference can be calculated using the formula, a = (qV) / (md), where q is the charge of the particle, V is the potential difference, m is the mass of the particle, and d is the distance travelled by the particle. In this problem, the values of q, V, m, and d are given, and we can substitute them in the formula to get the acceleration. The answer is 24 m/s^2.
A particle of mass 5gm and charge 12×10^-9 travels a distance of 300cm...