CUET · PHYSICS · PYQ PAPER 2023
A cube of side \( a \) has a charge \( Q \) at each of its vertices. What is the potential due to this charge array at the centre of the cube?
- A \( \frac{2Q}{\sqrt{3} \pi \epsilon_0 a} \)
- B \( \frac{4Q}{\sqrt{3} \pi \epsilon_0 a} \)
- C \( \frac{Q}{2\sqrt{3} \pi \epsilon_0 a} \)
- D \( \frac{8Q}{\sqrt{3} \pi \epsilon_0 a^2} \)
Answer & Solution
Correct Answer
(B) \( \frac{4Q}{\sqrt{3} \pi \epsilon_0 a} \)
Step-by-step Solution
Detailed explanation
The distance from the center of the cube to each of the 8 vertices is \(r=\frac{a \sqrt{3}}{2}\). Since potential is a scalar quantity, the total potential is the sum of the potentials from all 8 charges:…
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 battery of emf 10 V and internal resistance \( 3 \, \Omega \) is connected to an external resistor. If the current in the circuit is 0.5 A, then the voltage drop across the external resistor will beCUET 2025 Hard
- Which of the following particles/rays is emitted in a radioactive decay in which neither the atomic number nor the mass number changes?CUET 2023 Medium
- Match List-I with List-II:
List-I (Application) List-II (Electromagnetic Waves) (A) Used in radiography (I) UV rays (B) Detection by stimulating nerve endings of the human retina (II) Microwaves (C) Water purification (III) Visible light (D) Radar communication (IV) X rays
Choose the correct answer from the options given below:CUET 2025 Easy - Two long and parallel straight wires A and B carrying currents of 8.0 A and 5.0 A in the same direction are separated by a distance of 4.0 cm. Estimate the force on 10 cm length of wire B:CUET 2025 Easy
- For a short electric dipole, identify the incorrect statement(s).
(A) The electric field intensity varies inversely with the cube of the distance from the center of the dipole.
(B) The electric field is directed from negative to positive charge.
(C) The electric potential at mid-point of the dipole is zero.
(D) The electric field intensity at mid-point of the dipole is zero.
Choose the correct answer from the option given below :CUET 2025 Medium - Which of the following statements related to Wheatstone Bridge are correct?
(A).The bridge is most sensitive when all the four resistances are of the same order
(B). The internal resistance of the cell and the resistance of the galvanometer affect the null point
(C). It does not involve measurement of current and potential difference
(D).Resistances of ammeters and voltmeters do not affect the measurements
Choose the correct answer from the options given below:CUET 2025 Hard
More PYQs from CUET
- If \(x=4 t^2, y=8 t\), then \(\frac{d^2 y}{d x^2}\) is:CUET 2023 Hard
- If \(f(x)=x+\frac{1}{x}\). Which of the following is not a correct option?CUET 2023 Medium
- A battery has an e.m.f 12 V and internal resistance 2 \(\Omega\) This battery is connected to a variable resistor 0 to 5 \(\Omega\). The value of current for which the rate of heat production in the resistor is maximum:CUET 2023 Medium
- Match List I with List II
Choose the correct answer from the options given below:List I List ll (A) Down's syndrome (I) 44 + XX/XY (B) Klinefelter's syndrome (II) 44 + XO (C) Turner's syndrome (III) 44 + XXY (D) Normal human (IV) 45 + XX/XY CUET 2023 Hard - Let \(f(x)=x|x|\). Then \(f(x)\) is:CUET 2023 Hard
- Zoological parks, botanical gardens and wildlife safari parks are examples of:CUET 2025 Easy