Modern Physics - NEET Physics Chapterwise MCQs & PYQs

NEET Modern Physics MCQs & PYQs

Question 191:

easy

The life span of atomic hydrogen is:

(2000)

Atomic hydrogen is highly unstable and reactive. It readily combines with another hydrogen atom to form a stable $H_2$ molecule, making its life span a fraction of a second.

Question 192:

easy

Half life period of two elements are 40 minute and 20 minute respectively, then after 80 minute ratio of the remaining nuclei will be (Initially both have equal active nuclei):

(1998)

For the first element, 80 mins is 2 half-lives ($80/40$), leaving $N_0 / 2^2 = N_0/4$. For the second, 80 mins is 4 half-lives ($80/20$), leaving $N_0 / 2^4 = N_0/16$. The ratio is $(N_0/4) / (N_0/16) = 16/4 = 4 : 1$.

Question 193:

easy

The count rate of a Geiger Muller counter for the radiation of a radioactive material of half-life of 30 minutes decreases to $5 second^{-1}$ after 2 hours. The initial count rate was

(1995)

Time elapsed is 2 hours = 120 minutes. This is $120/30 = 4$ half-lives. The final count rate is $A = A_0 / 2^4 = A_0 / 16$. Given $A = 5 second^{-1}$, the initial count rate $A_0 = 5 \times 16 = 80 second^{-1}$.

Question 194:

easy

The half life of radium is 1600 years. The fraction of a sample of radium that would remain after 6400 years

(1991)

The number of half-lives is $n = 6400 / 1600 = 4$. The fraction of the sample remaining is $(1/2)^n = (1/2)^4 = 1/16$.

Question 195:

easy

An element A decays into element C by a two step process $A \rightarrow B + _{2}He^{4}; B \rightarrow C + 2e^{-}$. Then

(1989)

In alpha decay ($A \rightarrow B$), the atomic number Z decreases by 2. In two beta decays ($B \rightarrow C$), the atomic number increases by $2 \times 1 = 2$. Thus, the final atomic number of C equals the initial atomic number of A. Elements with the same Z are isotopes.

Question 196:

easy

Curie is a unit of

(1989)

Curie (Ci) is a non-SI unit of radioactivity, originally defined as the activity of 1 gram of radium-226 ($3.7 \times 10^{10}$ decays per second).

Question 197:

easy

A radioactive element has half life period 800 years. After 6400 years what amount will remain?

(1989)

The number of half-lives $n = \frac{6400}{800} = 8$. The fraction remaining is $(1/2)^n = (1/2)^8 = 1/256$.

Question 198:

easy

The binding energy of deuteron is 2.2 MeV and that of $^4_2He$ is 28 MeV. If two deuteron are fused to form one $^4_2He$ then the energy released is:

(2006)

Energy released $Q = \text{Binding Energy of Product} - \text{Total Binding Energy of Reactants}$. $Q = 28 - (2.2 + 2.2) = 28 - 4.4 = 23.6$ MeV.

Question 199:

easy

In the reaction $^2_1H + ^3_1H \rightarrow ^4_2He + ^1_0n$, if the binding energies of $^2_1H$, $^3_1H$, and $^4_2He$ are respectively a, b and c (in MeV), then the energy (in MeV) released in this reaction is:

(2005)

The energy released $Q$ is the difference between the total binding energy of the products and the total binding energy of the reactants. $Q = BE(^4_2He) - [BE(^2_1H) + BE(^3_1H)] = c - (a + b) = c - a - b$.

Question 200:

easy

For the given reaction, the particle X is:n$^{11}_{6}C \rightarrow ^{11}_{5}B + \beta^+ + X$

(2000)

In $\beta^+$ (positron) decay, a proton is converted into a neutron, releasing a positron ($e^+$ or $\beta^+$) and an electron neutrino ($\nu$) to conserve lepton number. Hence, particle X is a neutrino.