Home / IBDP Physics- E.1 Structure of the atom- IB Style Questions For HL Paper 1A

IBDP Physics- E.1 Structure of the atom- IB Style Questions For HL Paper 1A -FA 2025

Question

Who first demonstrated that electric charge is quantized?
(A) Coulomb
(B) Millikan
(C) Planck
(D) Rutherford
▶️ Answer/Explanation
Detailed solution

Robert Millikan’s oil-drop experiment (1909) first provided direct evidence that electric charge is quantized in discrete units of the elementary charge e.
Answer: (B) Millikan

Question

Which statement about atomic nuclei is correct? The density is…
(A) directly proportional to mass number.
(B) inversely proportional to nuclear radius.
(C) inversely proportional to volume.
(D) constant for all nuclei.
▶️ Answer / Explanation
Detailed solution

The radius of a nucleus is given by \( R = R_0 A^{1/3} \), where \(A\) is the mass number.

Hence the volume of a nucleus is proportional to \( R^3 \propto A \).

The mass of a nucleus is also proportional to \(A\). Therefore,

\[ \text{density} = \frac{\text{mass}}{\text{volume}} \propto \frac{A}{A} = \text{constant} \]

This shows that nuclear density is approximately the same for all nuclei.

Answer: D

Question

In the Bohr model for hydrogen, the radius of the electron orbit in the \(n=2\) state is four times that of the radius in the \(n=1\) state.
What is \( \dfrac{\text{speed of the electron in the } n=2 \text{ state}} {\text{speed of the electron in the } n=1 \text{ state}} \)?
(A) \( \dfrac{1}{4} \)
(B) \( \dfrac{1}{2} \)
(C) \( 2 \)
(D) \( 4 \)
▶️ Answer / Explanation
Detailed solution

In the Bohr model for hydrogen:
\( r_n \propto n^2 \) and \( v_n \propto \dfrac{1}{n} \).

The question states that \( r_{2} = 4 r_{1} \), which is consistent with \( r_n \propto n^2 \).

Since \( v_n \propto \dfrac{1}{n} \), the ratio of speeds is

\[ \frac{v_{2}}{v_{1}} = \frac{1/2}{1/1} = \frac{1}{2}. \]

Answer: (B)

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