Questions in nuclei

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Carbon $ - 14$decays with half-life of about 5,800 years. In a sample of bone, the ratio of carbon $ - 14$to carbon $ - 12$is found to be $\frac{1}{4}$ of what it is in free air. This bone may belong to a period about x centuries ago, where x is nearest to
Age of a tree is determined using radio-isotope of
An atom of mass number 15 and atomic number 7 captures an $\alpha - $ particle and then emits a proton. The mass number and atomic number of the resulting product will respectively be
Which of the following statements are true regarding radioactivity (I) All radioactive elements decay exponentially with time (II) Half life time of a radioactive element is time required for one half of the radioactive atoms to disintegrate (III) Age of earth can be determined with the help of radioactive dating (IV) Half life time of a radioactive element is 50% of its average life period Select correct answer using the codes given below Codes :
In the disintegration series $^{238}_{92} U \xrightarrow{\alpha}X \xrightarrow{\beta -}^A_ZY$ the values of Z and A respectively will be
The particles emitted by radioactive decay are deflected by magnetic field. The particles will be
Half life of a radioactive element is 10 days. The time during which quantity remains 1/10 of initial mass will be
In the given nuclear reaction, $^{238}_{92} U \xrightarrow{\alpha}^{A}_{B} Th \xrightarrow{\beta}^C_DPa \xrightarrow{E}^{234}_{92} U$ A, B, C, D, E represents
If half life of a radioactive element is 3 hours, after 9 hours its activity becomes
The nucleus $_{48}^{115}Cd$ after two successive ${\beta ^ - }$ decays will give

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