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>> $A charged capacitor of capacity 30 mu F$

Question

A charged capacitor of capacity $30 μ F$ is discharged through a resistance $R$ . The ratio of electrostatic field energy stored in the capacitor to the rate of decay of a radioactive sample of mean life time $14.43$ second is constant with time.The value of resistance $R$ is:

$96.2 k Ω$

$91.0 k Ω$

$46.1 k Ω$

$9.10 k Ω$

Medium

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Updated on : 2022-09-05

Solution

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Correct option is A)

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Practice more questions

A charged capacitor of capacity 30μF is discharged through a resistance R. The ratio of electrostatic field energy stored in the capacitor to the rate of decay of a radioactive sample of mean life time 14.43 second is constant with time.The value of resistance R is:

96.2kΩ

91.0kΩ

46.1kΩ

9.10kΩ

A radioactive substance decays for an interval of time equal to its mean life. Find the fraction of the amount of the substance which is left undecayed after this time interval.

Which sample A or B shown in the figure has shortest mean life?

Which sample, A or B shown in figure has shorter mean-life?

Choose the correct option, if Tn​ and Tm​ denote the half-value period and the mean-value period, respectively of a radioactive element :

Revise with Concepts

Law of Radioactive Decay

Plot Number of Neutrons vs Protons for Radioactive Decay

Half Life

A charged capacitor of capacity $30 μ F$ is discharged through a resistance $R$ . The ratio of electrostatic field energy stored in the capacitor to the rate of decay of a radioactive sample of mean life time $14.43$ second is constant with time.The value of resistance $R$ is:

$96.2 k Ω$

$91.0 k Ω$

$46.1 k Ω$

$9.10 k Ω$

Which sample $A$ or $B$ shown in the figure has shortest mean life?

Which sample, $A$ or $B$ shown in figure has shorter mean-life?

Choose the correct option, if $T_{n}$ and $T_{m}$ denote the half-value period and the mean-value period, respectively of a radioactive element :