JEE Main 2021 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 18 March 2021, Shift 1, Physics Q29

Question 29 of 90 in this shift, Physics question 29 of 30, Section B.

A parallel plate capacitor has plate area 100 m

^2

and plate separation of 10 m. The space between the plates is filled up to a thickness 5 m with a material of dielectric constant of 10. The resultant capacitance of the system is '

x

' pF. The value of

\epsilon_0 = 8.85\times10^{-12}

F.m

^{-1}

The value of '

x

' to the nearest integer is __________.

Official answer

161

NTA final key.

Chapter: Electrostatic Potential and Capacitance
Topic: Dielectrics
Idea tested: Partial and Multiple Slabs

Same idea in other shifts

Asked 10× in all

2 Apr 2026, Shift 1 · Q32A parallel plate air capacitor has a capacitance C. When it is half filled as show in figure with a dielectric constant $K=5$ , the…EasySingle correctHas a figure
8 Apr 2025, Shift 2 · Q49Space between the plates of a parallel plate capacitor of plate area 4 cm $^2$ and separation of (d) 1.77 mm, is filled with uniform…MediumNumerical valueHas a figure
6 Apr 2024, Shift 2 · Q52A capacitor of $10\ \mu\mathrm{F}$ capacitance whose plates are separated by 10 mm through air and each plate has area $4\ \mathrm{cm}^2$ …HardNumerical valueHas a figure
8 Apr 2024, Shift 2 · Q40A capacitor has air as dielectric medium and two conducting plates of area $12\ \mathrm{cm}^2$ and they are $0.6$ cm apart. When a slab of…MediumSingle correct
6 Apr 2023, Shift 1 · Q56A parallel plate capacitor with plate area A and plate separation d is filled with a dielectric material of dielectric constant $K=4$ . The…MediumNumerical valueHas a figure
27 Jul 2022, Shift 2 · Q56A parallel plate capacitor with width 4 cm, length 8 cm and separation between the plates of 4 mm is connected to a battery of 20 V. A…MediumNumerical value
28 Jul 2022, Shift 2 · Q9A slab of dielectric constant K has the same cross-sectional area as the plates of a parallel plate capacitor and thickness $\frac{3}{4}$ …EasySingle correct
30 Jun 2022, Shift 1 · Q40 $\mathrm{C_o}$ is the capacitance of a parallel plate capacitor with air as a medium between the plates (as shown in Fig. 1). If half…EasySingle correctHas a figure

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.