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Practice Section

Timed practice with instant feedback. Start with Easy, build up. Track your accuracy. No shortcuts without first attempting.

CBSENEET JEE MainJEE Advanced
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🟢 Easy — CBSE Board Level

Build confidence first. These are direct formula and definition questions.

Q1 · Easy
Basic Capacitance
CBSE
The capacitance of a capacitor is 2μF and it is connected to a 100V battery. The charge stored on it is:
A50 μC
B200 μC
C2 mC
D100 μC
Q2 · Easy
Series Combination
CBSE
Three capacitors of 2μF, 3μF, and 6μF are connected in series. The equivalent capacitance is:
A11 μF
B1 μF
C3.67 μF
D2 μF
Q3 · Easy
Energy Formula
CBSE/NEET
The energy stored in a 4μF capacitor charged to 10V is:
A400 μJ
B200 μJ
C40 mJ
D800 μJ
Q4 · Easy
Parallel Plate Formula
CBSE
A parallel plate capacitor has area A and separation d. If the separation is doubled, the capacitance:
ADoubles
BHalves
CRemains same
DQuadruples

🟡 Medium — NEET / JEE Main Level

Q5 · Medium
Dielectric Insertion
NEET 2022 Type
A capacitor is charged to V₀ with battery connected. A dielectric K=4 is inserted. Which combination correctly describes the new state?
(Ratio = New/Old)
AC×4, Q unchanged, U unchanged
BC×4, Q÷4, U÷4
CC×4, Q×4, U×4
DC÷4, Q÷4, U÷4
Q6 · Medium
Combination Circuit
JEE Main Type
C₁=6μF and C₂=3μF are connected in series with a 9V battery. The voltage across C₂ is:
A3 V
B4.5 V
C6 V
D9 V
Q7 · Medium
Energy Redistribution
NEET/JEE Main
Two identical capacitors C₁=C₂=C, one charged to V₀ and other uncharged, are connected in parallel. The energy lost is:
A¼CV₀²
B¼CV₀²
C½CV₀²
DCV₀²
Q8 · Medium
RC Time Constant
JEE Main
In an RC circuit, R=500Ω, C=4μF. The time constant is:
A125 ms
B0.5 ms
C2 ms
D2000 s

🔴 Hard — JEE Advanced Level

These will challenge you. If you get these right, you're ready for JEE Advanced.

Q9 · Hard
Balanced Bridge
JEE Advanced
In a Wheatstone bridge circuit of capacitors: C₁=2μF, C₂=4μF, C₃=1μF, C₄=2μF, bridge C₅=5μF, battery=10V. Find charge on C₅.
A0 μC (Bridge balanced)
B50 μC
C25 μC
D10 μC
Q10 · Hard
Energy Accounting
JEE Advanced
A 10μF capacitor is charged to 100V. The battery is removed. A 40μF uncharged capacitor is connected in parallel. The fraction of energy lost as heat is:
A25%
B80%
C50%
D20%
Q11 · Hard
Multi-Correct Style
JEE Advanced
Battery disconnected, then plate separation halved. Which is true?
(Treat as single-select: which one MUST be true)
AElectric field halves
BEnergy halves
CVoltage halves
DCapacitance halves
Q12 · Hard
Conducting Slab
JEE Main/Adv
A parallel plate capacitor (d=8mm, A=0.01m²) has a conducting slab of thickness 4mm inserted. The capacitance (in pF) is approximately:
A88.5 pF
B177 pF
C44.25 pF
D354 pF
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