- The charge on a body is always a whole-number multiple of 1.6 × 10⁻¹⁹ C — this is called:
- conservation of charge
- quantisation of charge
- induction
- polarisation
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Answer: (B) quantisation of charge
Charge is always q = ne, n a whole number — this is quantisation; conservation means the total charge stays constant.
- If the distance between two charges is halved, the force between them becomes —
- half
- double
- one-fourth
- four times
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Answer: (D) four times
F ∝ 1/r²; halving the distance makes the force (2)² = 4 times.
- Why does salt dissolve easily in water?
- water has a very high dielectric constant (≈ 80)
- water has high density
- salt is light
- water is acidic
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Answer: (A) water has a very high dielectric constant (≈ 80)
Because of the high dielectric constant, the attraction between Na⁺ and Cl⁻ in water falls about 80 times and the ions separate.
- Choose the wrong statement about electric field lines.
- they start from a positive charge
- they never cross
- they form closed loops
- they are perpendicular to a conductor’s surface
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Answer: (C) they form closed loops
Electrostatic field lines do not form closed loops; magnetic field lines do.
- Why is it safe to sit inside a car during lightning?
- the car tyres are rubber
- a car is not tall
- an outside electric field does not reach inside a closed metal shell
- the car keeps moving
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Answer: (C) an outside electric field does not reach inside a closed metal shell
This is electrostatic shielding (Faraday cage) — charge stays on the outer metal surface and the field inside is zero.
- Two capacitors of 2 μF and 3 μF are in series. Equivalent capacitance?
- 1.2 μF
- 5 μF
- 6 μF
- 0.83 μF
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Answer: (A) 1.2 μF
In series 1/C = 1/2 + 1/3 = 5/6 → C = 1.2 μF; capacitor formulas are the reverse of resistor formulas.
- About how large is the drift velocity of electrons in a metal wire?
- 3 × 10⁸ m/s
- 10⁴ m/s
- 340 m/s
- 10⁻⁴ m/s
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Answer: (D) 10⁻⁴ m/s
Drift velocity is very slow (≈ 10⁻⁴ m/s); a bulb glows at once because the electric field spreads at nearly the speed of light.
- The resistivity of a wire depends on —
- length
- material and temperature
- cross-section area
- applied voltage
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Answer: (B) material and temperature
Resistivity is a property of the material; length and thickness change resistance, not resistivity.
- A 10 Ω wire is stretched to double its length. New resistance?
- 40 Ω
- 20 Ω
- 5 Ω
- 10 Ω
Show answer
Answer: (A) 40 Ω
Volume stays the same, length doubles so area halves — R = ρL/A becomes four times, 40 Ω.
- When temperature rises, the resistance of a semiconductor —
- increases
- stays the same
- decreases
- becomes infinite
Show answer
Answer: (C) decreases
In semiconductors more charge carriers become free on heating, so resistance falls (in metals it rises).
- The heating element of a heater is made of —
- copper
- nichrome
- tungsten
- aluminium
Show answer
Answer: (B) nichrome
Nichrome has high resistivity and melting point and does not oxidise even when red hot.
- Resistances of 2 Ω, 3 Ω and 6 Ω are joined in parallel. Equivalent resistance?
- 11 Ω
- 0.5 Ω
- 6 Ω
- 1 Ω
Show answer
Answer: (D) 1 Ω
1/R = 1/2 + 1/3 + 1/6 = 1, so R = 1 Ω — in parallel the equivalent is smaller than the smallest.
- Why are appliances in houses joined in parallel?
- to save electricity
- to use less wire
- to keep the current equal
- so every appliance gets full voltage and all can run separately
Show answer
Answer: (D) so every appliance gets full voltage and all can run separately
In parallel every appliance has the same (230 V) potential difference and switching one off does not affect the others.
- Bulbs of 100 W and 60 W (both 220 V) are joined in series. Which glows brighter?
- 100 W
- 60 W
- both equal
- neither
Show answer
Answer: (B) 60 W
In series the current is equal and the 60 W bulb has higher resistance, so P = I²R is larger for it.
- A battery of EMF 12 V and internal resistance 1 Ω is joined to 5 Ω. Terminal voltage?
- 12 V
- 2 V
- 10 V
- 6 V
Show answer
Answer: (C) 10 V
I = 12/6 = 2 A, V = E − Ir = 12 − 2 = 10 V.
- Kirchhoff’s loop (voltage) law is based on —
- conservation of energy
- conservation of charge
- conservation of momentum
- conservation of mass
Show answer
Answer: (A) conservation of energy
In a closed loop the sum of EMFs equals the sum of IR — this is conservation of energy; the junction law is based on conservation of charge.
- The EMF of a cell is measured most correctly by —
- voltmeter
- potentiometer
- ammeter
- galvanometer
Show answer
Answer: (B) potentiometer
A potentiometer draws no current from the cell at balance, so it measures EMF correctly.
- 4 bulbs of 60 W burn 5 hours a day in a house. Units used in 30 days?
- 12
- 360
- 72
- 36
Show answer
Answer: (D) 36
4 × 60 × 5 × 30 / 1000 = 36 kWh = 36 units.
- 1 kWh equals how many joules?
- 3.6 × 10⁶ J
- 3.6 × 10⁵ J
- 3.6 × 10³ J
- 1000 J
Show answer
Answer: (A) 3.6 × 10⁶ J
1 kWh = 1000 W × 3600 s = 3.6 × 10⁶ J — this is 1 unit of electricity.
- How is a fuse joined in a circuit?
- in parallel in the neutral wire
- in the earth wire
- in series in the live wire
- parallel to the appliance
Show answer
Answer: (C) in series in the live wire
A fuse goes in series in the live wire, so that it melts and breaks the whole circuit as soon as excess current flows.
- According to the new standard, what is the colour of the live wire in house wiring?
- blue
- green
- brown
- black
Show answer
Answer: (C) brown
New standard: live brown (old red), neutral blue (old black), earth green/green-yellow.
- What is the main job of an MCB?
- breaking the circuit automatically on excess current (overload, short circuit)
- raising voltage
- changing AC to DC
- measuring power used
Show answer
Answer: (A) breaking the circuit automatically on excess current (overload, short circuit)
An MCB breaks the circuit with a bimetallic strip on overload and an electromagnet on short circuit, and can be switched ON again.
- How many cells are there in a car battery (lead-acid)?
- 2
- 4
- 12
- 6
Show answer
Answer: (D) 6
Each lead-acid cell gives ≈ 2 V; a 12 V battery has 6 cells in series.
- Who discovered the magnetic effect of current?
- Faraday
- Oersted
- Ohm
- Ampère
Show answer
Answer: (B) Oersted
In 1820 Oersted saw a magnetic needle deflect near a current-carrying wire.
- Which rule gives the direction of force in an electric motor?
- Fleming’s left hand
- Fleming’s right hand
- Lenz’s law
- clock rule
Show answer
Answer: (A) Fleming’s left hand
Fleming’s left hand for the motor (forefinger field, middle finger current, thumb force); right hand for the generator.
- Two parallel wires carrying current in the same direction —
- exert no force
- repel each other
- attract each other
- start rotating
Show answer
Answer: (C) attract each other
Currents in the same direction attract and in opposite directions repel — the reverse of the rule for charges.
- What is done to convert a galvanometer into a voltmeter?
- low resistance in parallel
- high resistance in series
- low resistance in series
- high resistance in parallel
Show answer
Answer: (B) high resistance in series
Adding a high resistance in series makes the total resistance of the voltmeter very large, so it draws almost no current from the circuit.
- What is the dip angle at the magnetic poles?
- 0°
- 45°
- 180°
- 90°
Show answer
Answer: (D) 90°
At the magnetic poles the Earth’s field is vertical — dip 90°; at the magnetic equator 0°.
- Which of these is a diamagnetic material?
- iron
- aluminium
- cobalt
- bismuth
Show answer
Answer: (D) bismuth
Bismuth is the strongest diamagnetic material; aluminium is paramagnetic, iron and cobalt ferromagnetic.
- The most suitable material for making a permanent magnet?
- soft iron
- steel
- copper
- aluminium
Show answer
Answer: (B) steel
Steel has high retentivity and coercivity, so it does not lose magnetism easily; soft iron is for electromagnets.
- Lenz’s law is a result of —
- conservation of charge
- conservation of momentum
- conservation of energy
- conservation of mass
Show answer
Answer: (C) conservation of energy
The induced current opposes its cause; if it helped, energy would be made without work — breaking conservation of energy.
- A transformer works on the principle of —
- mutual induction
- self induction
- Joule’s law
- Ohm’s law
Show answer
Answer: (A) mutual induction
The changing current in the primary coil induces an EMF in the secondary coil — this is mutual induction.
- In a step-up transformer —
- the secondary has fewer turns, voltage rises
- the secondary has more turns, voltage rises and current falls
- both voltage and current rise
- frequency rises
Show answer
Answer: (B) the secondary has more turns, voltage rises and current falls
Vₛ/Vₚ = Nₛ/Nₚ = Iₚ/Iₛ — with more turns in the secondary the voltage rises and the current falls in the same ratio.
- Why is the core of a transformer laminated (made of thin sheets)?
- to reduce weight
- to increase sound
- to increase magnetism
- to reduce loss due to eddy currents
Show answer
Answer: (D) to reduce loss due to eddy currents
Insulating layers between thin sheets block the paths of eddy currents and reduce the waste of energy as heat.
- The rms voltage of household AC in India is 230 V. Its peak voltage is about —
- 325 V
- 230 V
- 163 V
- 460 V
Show answer
Answer: (A) 325 V
V₀ = √2 × V_rms ≈ 1.414 × 230 ≈ 325 V.
- Which is the correct order of increasing frequency in the electromagnetic spectrum?
- X-ray, UV, visible, radio
- gamma, X, UV, visible
- radio, microwave, infrared, visible, UV, X, gamma
- visible, radio, gamma, X
Show answer
Answer: (C) radio, microwave, infrared, visible, UV, X, gamma
Frequency is lowest for radio and highest for gamma rays; wavelength is the reverse.
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