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Rama09 [41]
3 years ago
7

Another droplet of the same mass falls 8.4 cm from rest in 0.250 s, again moving through a vacuum. Find the charge carried by th

e droplet.
Physics
1 answer:
Andrej [43]3 years ago
8 0

Answer:

The charge carried by the droplet is 1.330\times10^{-19}\ C

Explanation:

Given that,

Distance =8.4 cm

Time = 0.250 s

Suppose tiny droplets of oil acquire a small negative charge while dropping through a vacuum in an experiment. An electric field of magnitude 5.92\times10^4\ N/C points straight down and if the mass of the droplet is 2.93\times10^{-15} kg

We need to calculate the acceleration

Using equation of motion

s=ut+\dfrac{1}{2}at^2

Put the value into the formula

8.4\times10^{-2}=0+\dfrac{1}{2}\times a\times(0.250)^2

a=\dfrac{8.4\times10^{-2}\times2}{(0.250)^2}

a=2.688\ m/s^2

We need to calculate the charge carried by the droplet

Using formula of electric filed

E=\dfrac{F}{q}

q=\dfrac{ma}{E}

Put the value into the formula

q=\dfrac{2.93\times10^{-15}\times2.688}{5.92\times10^4}

q=1.330\times10^{-19}\ C

Hence, The charge carried by the droplet is 1.330\times10^{-19}\ C

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