CUET · PHYSICS · PYQ PAPER 2025
A parallel plate air capacitor consists of two circular plates of diameter 4 cm. At what distance should the plates be held so as to have the same capacitance as that of a sphere of diameter 16 cm?
- A 6.0 mm
- B 4.0 mm
- C 2.5 mm
- D 1.25 mm
Answer & Solution
Correct Answer
(D) 1.25 mm
Step-by-step Solution
Detailed explanation
\(C_{sphere} = 4\pi\epsilon_0 R_{sphere}\) \(C_{parallel} = \frac{\epsilon_0 A}{d} = \frac{\epsilon_0 \pi R_{plate}^2}{d}\) \(4\pi\epsilon_0 R_{sphere} = \frac{\epsilon_0 \pi R_{plate}^2}{d}\) \(4R_{sphere} = \frac{R_{plate}^2}{d}\) \(d = \frac{R_{plate}^2}{4R_{sphere}}\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from PHYSICS
- A double convex lens of refractive index 1.5 has a radius of curvature R each. The focal length of the lens isCUET 2025 Medium
- A 600 pF capacitor is charged by a 150 V battery. The charge on the capacitor is:CUET 2025 Hard
- A heating element is marked \( V = 210 \text{ V, } P = 630 \text{ W} \). The resistance of the element (R) would beCUET 2025 Easy
- Consider the following statements
(A) Corpuscular model predicted that if the ray of light bends towards the normal after refraction then the speed of light would be greater in the second medium
(B) In optical fibre, the refractive index of the core is kept higher than cladding.
(C) Diffraction due to clouds is efficient in equal measures for all wavelengths
(D) Light travels faster in glass than in air.
(E) When light reflects from an air glass plate interface, the reflected wave suffers a phase change of \( \pi \).
Choose the correct answer from the options given below :CUET 2023 Hard - In the Block diagram of a generalised communication system, the elements are given below. The correct order of elements should be :
(A) Transmitter
(B) Information Source
(C) User of Information
(D) Channel
(E) Receiver
Choose the correct answer from the options given below:CUET 2023 Easy - During the p-n junction formation, when an electron diffuses from n \( \rightarrow \) p, it leaves behind an :CUET 2023 Hard
More PYQs from CUET
- Replacement of Cl of \(C _6 H _5 Cl\) to give \(C _6 H _5 OH\) occurs only in drastic conditions, but Cl of 2,4-dinitrochlorobenzene is readily replaced. This is because:CUET 2023 Medium
- Two pipes can fill a tank in 6 minutes and 12 minutes respectively, and a third pipe can empty the tank at the rate of 18 liters per minute. If all the pipes working together can fill the empty tank in 5 minutes, the capacity of the tank is:CUET 2025 Hard
- The correct IUPAC name for \(C H _{ 2 }= C H C H _{ 2 } N H C H _{ 3 }\).CUET 2025 Easy
- Observe the given figures and answer the question
Identify the statements which hold true for Miller's experiment:
(A) He created an electric discharge in a closed flask containing CH4, N2, NH3 and water vapour at 1200°°C
(B) He created electric discharge in a closed flask containing CH4, N2, NH3 and water vapour at 800°C
(C) He observed the formation of amino acids only
(D) He observed the formation of amino acids, sugars and fats
Choose the correct answer from the options given below:CUET 2023 Hard - Typical embryo sac at maturity is:CUET 2025 Easy
- Match List-I with List-II
List-I List-II (A) Output always opposite of input (I) NOR (B) Output 1 only when all inputs are 0 (II) NAND (C) Output 0 only when all inputs are 1 (III) OR (D) Output 1 when all inputs are 1 (IV) NOT
Choose the correct answer from the options given below:CUET 2023 Easy