A neutral sphere is bombarded with 10^{12} , | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The number of $\alpha$-particles falling on the sphere in $t$ seconds is $N = 10^{12}t$.Each $\alpha$-particle carries a charge of $q_{\alpha} = +

Vedclass · Accepted Answer

$6.25$

Vedclass · Answer

(A) The number of $\alpha$-particles falling on the sphere in $t$ seconds is $N = 10^{12}t$.Each $\alpha$-particle carries a charge of $q_{\alpha} = +2e$,where $e = 1.6 	imes 10^{-19} \, C$.The total charge $Q$ accumulated in time $t$ is given by $Q = N 	imes q_{\alpha} = (10^{12}t) 	imes (2e)$.Given $Q = 2 \, \mu C = 2 	imes 10^{-6} \, C$.Equating the values: $2 	imes 10^{-6} = 10^{12} 	imes t 	imes 2 	imes 1.6 	imes 10^{-19}$.$2 	imes 10^{-6} = 3.2 	imes 10^{-7} 	imes t$.$t = \frac{2 	imes 10^{-6}}{3.2 	imes 10^{-7}} = \frac{20}{3.2} = 6.25 \, s$.

$A$ neutral sphere is bombarded with $10^{12} \, \alpha$-particles per second. How much time in seconds will it take to accumulate a charge of $2 \, \mu C$?

Similar Questions

From the following,what charges can be present on oil drops in Millikan's experiment? (Here $e$ is the electronic charge)

The number of electrons in $1 \ C$ of charge is:

How does a simple paper electroscope work?

Assertion $(A)$: Half of the charge of an electron does not exist. Reason $(R)$: Electric charge is quantized.

In Millikan's oil drop experiment for the determination of the charge on the electron,the reason for using oil is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module