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✍️ Practice Section

Difficulty-wise problems with timer | Solve minimum 50 problems

Practice Timer

00:00

Level 1: Easy (CBSE/Boards)

Target Time: 2-3 minutes per question

Q1: Basic Wavelength

An EM wave has frequency 750 THz. Calculate its wavelength.

Q2: E and B Fields

Magnetic field amplitude in EM wave is 5×10⁻⁸ T. Find electric field amplitude.

Q3: Spectrum Identification

Which EM wave has wavelength around 1 μm?

(A) Microwave (B) Infrared (C) Visible (D) UV

Q4: Speed in Medium

Light enters glass with n = 1.6. Find speed of light in glass.

Q5: Photon Energy

Find energy of photon with wavelength 500 nm. (h = 6.6×10⁻³⁴ J·s)

Q6: Property Change

When light goes from air to water, which does NOT change?

(A) Speed (B) Wavelength (C) Frequency (D) All change

Q7: Maxwell's Contribution

What did Maxwell add to Ampere's law?

Q8: EM Wave Propagation

EM waves can travel through vacuum because:

(A) They have high energy
(B) Changing E creates B, changing B creates E
(C) They are transverse
(D) They are fast

Q9: Phase Relation

In EM wave, E and B oscillate:

(A) In phase (B) 90° out of phase (C) 180° out of phase (D) Randomly

Q10: Application

Which EM wave is used in microwave ovens?

Level 2: Moderate (NEET/JEE Main)

Target Time: 3-5 minutes per question

Q1: Intensity Calculation

EM wave has E₀ = 90 V/m. Find average intensity. (ε₀ = 8.85×10⁻¹² C²/N·m²)

Q2: Radiation Pressure

Light of intensity 15 W/m² falls on perfectly absorbing surface. Find radiation pressure.

Q3: Energy Density

In EM wave, E₀ = 60 V/m. Find total energy density.

Q4: Displacement Current

Parallel plate capacitor is charged at 2 A. What is displacement current between plates?

Q5: Polarization

Unpolarized light of intensity I₀ passes through polarizer. Find transmitted intensity.

Q6: Medium Calculation

Light of wavelength 600 nm in vacuum enters glass (n=1.5). Find wavelength in glass.

Q7: Energy Comparison

In EM wave, what fraction of total energy is in magnetic field?

Q8: Photon Momentum

Photon has energy 3×10⁻¹⁹ J. Find its momentum.

Q9: Reflection Pressure

Intensity 10 W/m² falls on perfectly reflecting surface. Find radiation pressure.

Q10: Malus's Law

Polarized light of intensity 100 W/m² passes through polarizer at 60°. Find output intensity.

Level 3: Advanced (JEE Advanced)

Target Time: 5-8 minutes per question

Q1: Multi-Step Intensity

EM wave has B₀ = 4×10⁻⁷ T. Find: (a) E₀ (b) Average intensity (c) Radiation pressure on absorbing surface

Q2: Capacitor Magnetic Field

Circular parallel plate capacitor (radius 5 cm) is charged. Electric field between plates changes at 10¹³ V/m·s. Find magnetic field at r = 3 cm from axis.

Displacement Current

Q3: Dual Polarizer

Unpolarized light (I₀ = 80 W/m²) → Polarizer P₁ → Polarizer P₂ at 30° to P₁. Find final intensity.

Q4: Satellite Force

Satellite (area 8 m², mass 500 kg) at Earth distance from Sun. Solar intensity = 1400 W/m². Surface perfectly reflecting. Find acceleration.

Q5: Energy Integration

Light of wavelength 450 nm illuminates metal surface. Work function = 2 eV. Find: (a) Photon energy (b) Max KE of ejected electron

Practice Strategy

  • Goal: Solve at least 50 problems from this chapter
  • Distribution: 20 Easy + 20 Moderate + 10 Advanced
  • Daily target: 5-7 problems with full solutions
  • Review: Revisit incorrect problems after 2 days
  • Time yourself: Build speed gradually
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