CUET · PHYSICS · PYQ PAPER 2023

The ratio of nucleus density of nitrogen nucleus (\( {}^{14}_7\text{N} \)) to the nucleus density of oxygen nucleus (\( {}^{16}_8\text{O} \)) will be :

A 1 : 4
B 4 : 1
C 1 : 1
D 1 : 16

Verified Solution

Answer & Solution

Correct Answer

(C) 1 : 1

Step-by-step Solution

Detailed explanation

\(\rho = \frac{\text{Mass}}{\text{Volume}} = \frac{A \cdot m_p}{\frac{4}{3} \pi R_0^3 A} = \frac{m_p}{\frac{4}{3} \pi R_0^3}\) \(\frac{\rho_{\text{Nitrogen}}}{\rho_{\text{Oxygen}}} = \frac{\frac{m_p}{\frac{4}{3} \pi R_0^3}}{\frac{m_p}{\frac{4}{3} \pi R_0^3}} = 1:1\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Match List - I with List - II.

List I	List II
(A) Direction of induced current in a conductor moving in a magnetic field.	(I) Ampere's swimming rule
(B) Direction of the magnetic field due to a current carrying long wire	(II) Fleming's left hand rule
(C) Force experienced by a moving charged particle in the magnetic field	(III) Fleming's right hand rule
(D) Direction of deflection of magnetic needle due to current in the wire	(IV) Right hand rule

Choose the correct answer from the options given below :

CUET 2023 Easy

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