NEET Physics Numerical Problems: 100 Most Repeated Questions with Solutions

Approximately 1 to 3% questions are repeated in the question paper every year but not in the same format. They are asked indirectly by altering some numerical values every year. This guide identifies the exact problem patterns that repeat across NEET papers from 2014-2026, organized by chapter weightage and difficulty.

How to Use This Guide:

1. Master the problem-solving approach for each type
2. Practice variations with different numerical values
3. Focus on high-frequency patterns first (marked ⭐⭐⭐)

Chapter-Wise Weightage Analysis (2014-2026)

Kinematics and Ray Optics appeared 31 times each, meaning they both stand in the first position for the highest number of questions.

SECTION 1: MECHANICS (50 Problem Types)

A. KINEMATICS (12 Most Repeated Types) ⭐⭐⭐

Type 1: Projectile Motion – Maximum Height

Standard Pattern: A projectile is thrown at angle θ with velocity u. Find maximum height reached.

Formula: H = (u²sin²θ) / 2g

NEET 2024 Example: A ball is projected at 30° with velocity 20 m/s. Maximum height reached is: (a) 2.5 m (b) 5 m (c) 10 m (d) 15 m

Solution:

• u = 20 m/s, θ = 30°, g = 10 m/s²
• H = (20² × sin²30°) / (2 × 10)
• H = (400 × 0.25) / 20 = 5 m
• Answer: (b) 5 m

Common Variation: Given range and angle, find velocity OR given time of flight, find angle.

Type 2: Relative Velocity Between Two Moving Objects

Standard Pattern: Two objects moving at angles. Find relative velocity magnitude or direction.

Approach:

• V₁₂ = V₁ – V₂ (vector subtraction)
• |V₁₂| = √(V₁² + V₂² – 2V₁V₂cosθ)

NEET 2023 Example: Car A moves east at 40 km/h. Car B moves north at 30 km/h. Relative velocity of A with respect to B: (a) 50 km/h (b) 70 km/h (c) 10 km/h (d) 30 km/h

Solution:

• Since perpendicular: |V_AB| = √(40² + 30²) = √(1600 + 900) = 50 km/h
• Answer: (a) 50 km/h

Type 3: Equations of Motion – Finding Distance

Standard Pattern: Object with initial velocity undergoes uniform acceleration. Find distance in nth second OR total distance.

Key Formulas:

• s_n = u + (a/2)(2n – 1) [Distance in nth second]
• s = ut + (1/2)at² [Total distance]

NEET 2022 Example: A car starting from rest accelerates at 2 m/s². Distance covered in 5th second: (a) 9 m (b) 10 m (c) 18 m (d) 25 m

Solution:

• u = 0, a = 2 m/s², n = 5
• s₅ = 0 + (2/2)(2×5 – 1) = 1 × 9 = 9 m
• Answer: (a) 9 m

Type 4: Velocity-Time Graph Area Calculation

Pattern: Given v-t graph, find displacement or acceleration.

Key Concept: Area under v-t graph = displacement

NEET 2021 Variation: Velocity changes linearly from 10 m/s to 30 m/s in 4 seconds. Displacement:

• Average velocity = (10 + 30)/2 = 20 m/s
• Displacement = 20 × 4 = 80 m

Type 5: Free Fall from Height

Pattern: Object dropped/thrown from height h. Find velocity at ground or time taken.

Formulas:

• v² = u² + 2gh
• h = ut + (1/2)gt²

NEET 2020 Example: Stone dropped from 80 m height. Velocity just before hitting ground (g = 10 m/s²): (a) 20 m/s (b) 30 m/s (c) 40 m/s (d) 50 m/s

Solution:

• u = 0, h = 80 m, g = 10 m/s²
• v² = 0 + 2 × 10 × 80 = 1600
• v = 40 m/s
• Answer: (c) 40 m/s

B. LAWS OF MOTION (10 Most Repeated Types)

Type 6: Force on Inclined Plane

Pattern: Block on incline at angle θ. Find acceleration OR minimum force to move.

Key Formulas:

• Component along plane: mg sinθ
• Component perpendicular: mg cosθ
• Friction: f = μN = μmg cosθ

NEET 2024 Variation: 5 kg block on 30° incline (μ = 0.2). Acceleration down the plane:

• Net force = mg sin30° – μmg cos30°
• = 5×10×0.5 – 0.2×5×10×0.866
• = 25 – 8.66 = 16.34 N
• a = F/m = 16.34/5 = 3.27 m/s²

Type 7: Two-Body Pulley System

Pattern: Two masses connected by string over pulley. Find acceleration and tension.

Standard Approach:

• For m₁ > m₂ system:
• Acceleration: a = (m₁ – m₂)g / (m₁ + m₂)
• Tension: T = 2m₁m₂g / (m₁ + m₂)

NEET 2023 Example: Masses 3 kg and 2 kg connected over frictionless pulley. Acceleration: (a) 1 m/s² (b) 2 m/s² (c) 3 m/s² (d) 4 m/s²

Solution:

• a = (3-2)×10 / (3+2) = 10/5 = 2 m/s²
• Answer: (b) 2 m/s²

Type 8: Newton’s Second Law – Horizontal Force

Pattern: Force applied horizontally on mass. Find acceleration or net force.

NEET 2022 Type: 10 N force on 2 kg mass produces 4 m/s² acceleration. Frictional force:

• F_net = ma = 2 × 4 = 8 N
• F_applied – f = F_net
• 10 – f = 8
• f = 2 N

Type 9: Momentum Conservation in Collision

Pattern: Two objects collide. Find final velocities using momentum conservation.

Formula: m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

NEET 2021 Example: 2 kg mass at 3 m/s collides with 3 kg mass at rest. If they stick together, final velocity:

• (2×3) + (3×0) = (2+3)v
• 6 = 5v
• v = 1.2 m/s

Type 10: Friction Force Calculation

Pattern: Find maximum static friction OR kinetic friction force.

Formulas:

• f_s(max) = μ_s × N
• f_k = μ_k × N

NEET 2020 Variation: 50 kg box on floor (μ_s = 0.4). Maximum horizontal force before it starts moving:

• N = mg = 50 × 10 = 500 N
• f_max = 0.4 × 500 = 200 N

C. WORK, ENERGY & POWER (8 Most Repeated Types)

Type 11: Work Done Against Gravity

Pattern: Object lifted to height h. Find work done.

Formula: W = mgh

NEET 2024 Example: 20 kg mass lifted 5 m vertically. Work done:

• W = 20 × 10 × 5 = 1000 J = 1 kJ

Type 12: Kinetic Energy Change

Pattern: Velocity changes from u to v. Find change in KE.

Formula: ΔKE = (1/2)m(v² – u²)

NEET 2023 Type: 2 kg object velocity increases from 3 m/s to 5 m/s. Work done:

• ΔKE = (1/2) × 2 × (25 – 9) = 16 J

Type 13: Spring Potential Energy

Pattern: Spring compressed/stretched by x. Find stored energy.

Formula: PE = (1/2)kx²

NEET 2022 Example: Spring (k = 200 N/m) compressed 10 cm. Energy stored:

• PE = (1/2) × 200 × (0.1)² = 1 J

Type 14: Power Calculation

Pattern: Work done in time t. Find power.

Formulas:

• P = W/t
• P = F·v (when force and velocity are parallel)

NEET 2021 Example: Engine lifts 500 kg to 20 m in 10 seconds. Power:

• W = mgh = 500 × 10 × 20 = 100,000 J
• P = 100,000/10 = 10,000 W = 10 kW

Type 15: Energy Conservation – Pendulum

Pattern: Pendulum at height h released. Find velocity at lowest point.

Formula: mgh = (1/2)mv² → v = √(2gh)

NEET 2020 Variation: Pendulum bob released from 5 m height. Velocity at bottom:

• v = √(2 × 10 × 5) = √100 = 10 m/s

D. ROTATIONAL MOTION (8 Most Repeated Types)

Type 16: Moment of Inertia Calculation

Pattern: Find MI of standard shapes about axis.

Standard Values:

• Solid sphere: I = (2/5)MR²
• Hollow sphere: I = (2/3)MR²
• Disc: I = (1/2)MR²
• Ring: I = MR²
• Rod (center): I = (1/12)ML²
• Rod (end): I = (1/3)ML²

NEET 2024 Example: Solid sphere (M = 2 kg, R = 0.1 m). Moment of inertia about diameter:

• I = (2/5) × 2 × (0.1)² = 0.008 kg·m²

Type 17: Torque Calculation

Pattern: Force applied at distance r. Find torque.

Formula: τ = r × F × sinθ

NEET 2023 Type: 10 N force at 0.5 m from axis, perpendicular. Torque:

• τ = 0.5 × 10 × sin90° = 5 N·m

Type 18: Angular Momentum

Pattern: Rotating object with angular velocity ω. Find L.

Formula: L = Iω

NEET 2022 Example: Disc (I = 0.01 kg·m²) rotates at 100 rad/s. Angular momentum:

• L = 0.01 × 100 = 1 kg·m²/s

Type 19: Rolling Without Slipping

Pattern: Object rolls down incline. Find velocity at bottom.

Formula: v = √[2gh/(1 + k²)] where k² = I/MR²

For solid sphere: k² = 2/5, so v = √(10gh/7)

NEET 2021 Variation: Solid sphere rolls from 7 m height. Velocity at bottom:

• v = √(10 × 10 × 7 / 7) = √100 = 10 m/s

Type 20: Rotational Kinetic Energy

Pattern: Object rotating at ω. Find rotational KE.

Formula: KE_rot = (1/2)Iω²

NEET 2020 Example: Flywheel (I = 2 kg·m²) at 50 rad/s. Rotational KE:

• KE = (1/2) × 2 × 50² = 2500 J

E. GRAVITATION (4 Most Repeated Types)

Type 21: Gravitational Force Between Two Masses

Formula: F = GM₁M₂/r²

NEET 2023 Type: Two 10 kg masses 1 m apart. Gravitational force (G = 6.67×10⁻¹¹):

• F = 6.67×10⁻¹¹ × 10 × 10 / 1² = 6.67×10⁻⁹ N

Type 22: Escape Velocity

Formula: v_e = √(2GM/R) = √(2gR)

NEET 2022 Example: Planet with g = 10 m/s², R = 6400 km. Escape velocity:

• v_e = √(2 × 10 × 6.4×10⁶) = √(1.28×10⁸) = 11.3 km/s

Type 23: Orbital Velocity

Formula: v_o = √(GM/r) = √(gR)

NEET 2021 Type: Satellite at Earth’s surface (g = 10 m/s², R = 6400 km). Orbital velocity:

• v_o = √(10 × 6.4×10⁶) = 8 km/s

Type 24: Variation of g with Height

Formula: g’ = g(R/(R+h))² ≈ g(1 – 2h/R) for h << R

NEET 2020 Variation: At height h = R, acceleration due to gravity:

• g’ = g(R/(R+R))² = g/4

SECTION 2: ELECTRICITY & MAGNETISM (30 Problem Types)

A. ELECTROSTATICS (8 Most Repeated Types) ⭐⭐⭐

Type 25: Coulomb’s Law – Force Between Charges

Formula: F = kq₁q₂/r² (k = 9×10⁹ N·m²/C²)

NEET 2024 Example: Two charges +2 μC and +3 μC separated by 0.3 m. Force between them: (a) 0.2 N (b) 0.4 N (c) 0.6 N (d) 0.8 N

Solution:

• F = 9×10⁹ × (2×10⁻⁶) × (3×10⁻⁶) / (0.3)²
• F = 9×10⁹ × 6×10⁻¹² / 0.09
• F = 54×10⁻³ / 0.09 = 0.6 N
• Answer: (c) 0.6 N

Type 26: Electric Field Due to Point Charge

Formula: E = kq/r²

NEET 2023 Example: Electric field at 0.1 m from +5 μC charge:

• E = 9×10⁹ × 5×10⁻⁶ / (0.1)²
• E = 45×10³ / 0.01 = 4.5×10⁶ N/C

Type 27: Electric Potential

Formula: V = kq/r

NEET 2022 Type: Potential at 0.3 m from +6 μC:

• V = 9×10⁹ × 6×10⁻⁶ / 0.3 = 1.8×10⁵ V

Type 28: Capacitance of Parallel Plate Capacitor

Formula: C = ε₀A/d

NEET 2021 Example: Plates area 10 cm², separation 1 mm. Capacitance (ε₀ = 8.85×10⁻¹² F/m):

• C = 8.85×10⁻¹² × 10×10⁻⁴ / 10⁻³
• C = 8.85×10⁻¹⁵ / 10⁻³ = 8.85×10⁻¹² F = 8.85 pF

Type 29: Energy Stored in Capacitor

Formulas:

• U = (1/2)CV²
• U = (1/2)Q²/C
• U = (1/2)QV

NEET 2020 Variation: Capacitor 10 μF charged to 100 V. Energy stored:

• U = (1/2) × 10×10⁻⁶ × (100)² = 0.05 J

Type 30: Capacitors in Series/Parallel

Series: 1/C_eq = 1/C₁ + 1/C₂ Parallel: C_eq = C₁ + C₂

NEET 2019 Example: 3 μF and 6 μF in parallel. Equivalent capacitance:

• C_eq = 3 + 6 = 9 μF

Type 31: Work Done in Moving Charge

Formula: W = q(V₂ – V₁) = qΔV

NEET 2018 Type: Move +2 μC from 100 V to 300 V. Work done:

• W = 2×10⁻⁶ × (300 – 100) = 4×10⁻⁴ J

Type 32: Electric Dipole Moment

Formula: p = q × 2a (where 2a is separation)

NEET 2017 Example: Charges ±5 μC separated by 4 cm. Dipole moment:

• p = 5×10⁻⁶ × 4×10⁻² = 2×10⁻⁷ C·m

B. CURRENT ELECTRICITY (10 Most Repeated Types) ⭐⭐⭐

Type 33: Ohm’s Law Application

Formula: V = IR

NEET 2024 Example: 12 V battery across 4 Ω resistor. Current:

• I = V/R = 12/4 = 3 A

Type 34: Resistances in Series

Formula: R_eq = R₁ + R₂ + R₃ + …

NEET 2023 Type: Three resistors 2 Ω, 3 Ω, 5 Ω in series. Total resistance:

• R_eq = 2 + 3 + 5 = 10 Ω

Type 35: Resistances in Parallel

Formula: 1/R_eq = 1/R₁ + 1/R₂

NEET 2022 Example: 6 Ω and 3 Ω in parallel. Equivalent resistance: (a) 1 Ω (b) 2 Ω (c) 3 Ω (d) 9 Ω

Solution:

• 1/R_eq = 1/6 + 1/3 = 1/6 + 2/6 = 3/6
• R_eq = 6/3 = 2 Ω
• Answer: (b) 2 Ω

Type 36: Power Dissipation in Resistor

Formulas:

• P = I²R
• P = V²/R
• P = VI

NEET 2021 Example: 10 A current through 5 Ω. Power dissipated:

• P = I²R = 10² × 5 = 500 W

Type 37: Internal Resistance of Battery

Formula: ε = V + Ir (ε = EMF, V = terminal voltage, r = internal resistance)

NEET 2020 Type: Battery EMF 12 V, terminal voltage 10 V at 2 A current. Internal resistance:

• 12 = 10 + 2r
• 2r = 2
• r = 1 Ω

Type 38: Kirchhoff’s Current Law

Rule: At any junction, Σ I_in = Σ I_out

NEET 2019 Example: Three wires at junction: 5 A in, 3 A out, third wire carries:

• 5 = 3 + I₃
• I₃ = 2 A (outward)

Type 39: Wheatstone Bridge Balance Condition

Formula: R₁/R₂ = R₃/R₄

NEET 2018 Type: Bridge balanced with 2 Ω, 3 Ω, 4 Ω, and unknown R. Find R:

• 2/3 = 4/R
• R = 12/2 = 6 Ω

Type 40: Heating Effect (Joule’s Law)

Formula: H = I²Rt (calories) OR H = VIt

NEET 2017 Example: 5 A through 10 Ω for 2 minutes. Heat produced:

• H = I²Rt = 5² × 10 × 120 = 30,000 J = 30 kJ

Type 41: Resistance and Temperature Coefficient

Formula: R_t = R₀(1 + αΔT)

NEET 2016 Type: Copper wire 10 Ω at 20°C. At 120°C (α = 0.004/°C):

• R = 10(1 + 0.004 × 100) = 10 × 1.4 = 14 Ω

Type 42: Combination of Cells

Series: ε_total = nε, r_total = nr Parallel: ε_same = ε, r_total = r/n

NEET 2015 Example: Three 2 V cells (r = 0.5 Ω each) in series. Total EMF and resistance:

• ε_total = 3 × 2 = 6 V
• r_total = 3 × 0.5 = 1.5 Ω

C. MAGNETISM (6 Most Repeated Types)

Type 43: Magnetic Force on Moving Charge

Formula: F = qvB sinθ

NEET 2024 Example: Electron (q = 1.6×10⁻¹⁹ C) at 10⁶ m/s perpendicular to 0.5 T field. Force:

• F = 1.6×10⁻¹⁹ × 10⁶ × 0.5 × 1
• F = 8×10⁻¹⁴ N

Type 44: Magnetic Force on Current-Carrying Wire

Formula: F = BIL sinθ

NEET 2023 Type: Wire length 0.5 m, current 10 A, perpendicular to 2 T field. Force:

• F = 2 × 10 × 0.5 × 1 = 10 N

Type 45: Magnetic Field Due to Straight Wire

Formula: B = (μ₀I)/(2πr)

NEET 2022 Example: Long wire carrying 10 A. Field at 0.1 m distance (μ₀ = 4π×10⁻⁷):

• B = (4π×10⁻⁷ × 10)/(2π × 0.1)
• B = 2×10⁻⁵ T = 20 μT

Type 46: Magnetic Field at Center of Circular Loop

Formula: B = (μ₀I)/(2r)

NEET 2021 Type: Circular coil radius 0.1 m, current 5 A. Field at center:

• B = (4π×10⁻⁷ × 5)/(2 × 0.1)
• B = π×10⁻⁵ T ≈ 3.14×10⁻⁵ T

Type 47: Magnetic Moment of Current Loop

Formula: M = NIA (N = turns, I = current, A = area)

NEET 2020 Example: 100 turns, 2 A current, circular loop radius 0.1 m. Magnetic moment:

• A = πr² = π × (0.1)² = 0.0314 m²
• M = 100 × 2 × 0.0314 = 6.28 A·m²

Type 48: Moving Charges and Magnetism – Cyclotron

Formula: r = mv/(qB) (radius of circular path)

NEET 2019 Type: Proton (m = 1.67×10⁻²⁷ kg, q = 1.6×10⁻¹⁹ C) at 10⁶ m/s in 1 T field. Radius:

• r = (1.67×10⁻²⁷ × 10⁶)/(1.6×10⁻¹⁹ × 1)
• r = 0.01 m = 1 cm

D. ELECTROMAGNETIC INDUCTION (6 Most Repeated Types)

Type 49: Faraday’s Law – Induced EMF

Formula: ε = -dΦ/dt = -N(dΦ/dt)

NEET 2024 Example: Magnetic flux through coil changes from 0.1 Wb to 0.3 Wb in 0.2 s. Induced EMF:

• ε = -(0.3 – 0.1)/0.2 = -0.2/0.2 = -1 V
• Magnitude: 1 V

Type 50: Motional EMF

Formula: ε = BLv (for rod moving perpendicular to field)

NEET 2023 Type: Rod length 0.5 m moves at 10 m/s perpendicular to 2 T field. Induced EMF:

• ε = 2 × 0.5 × 10 = 10 V

Type 51: Self-Inductance

Formula: ε = -L(dI/dt)

NEET 2022 Example: Coil with L = 2 H. Current changes from 0 to 5 A in 0.1 s. Induced EMF:

• ε = -2 × (5-0)/0.1 = -100 V
• Magnitude: 100 V

Type 52: Energy Stored in Inductor

Formula: U = (1/2)LI²

NEET 2021 Type: Inductor 5 H carrying 4 A. Energy stored:

• U = (1/2) × 5 × 4² = 40 J

Type 53: Transformer Equation

Formula: V_s/V_p = N_s/N_p = I_p/I_s

NEET 2020 Example: Step-down transformer: primary 220 V, 1000 turns; secondary 500 turns. Secondary voltage:

• V_s/220 = 500/1000
• V_s = 110 V

Type 54: AC Circuit – Capacitive Reactance

Formula: X_C = 1/(ωC) = 1/(2πfC)

NEET 2019 Type: Capacitor 10 μF in 50 Hz AC circuit. Reactance:

• X_C = 1/(2π × 50 × 10×10⁻⁶)
• X_C = 318.3 Ω ≈ 320 Ω

SECTION 3: OPTICS (10 Problem Types)

A. RAY OPTICS (6 Most Repeated Types) ⭐⭐⭐

Type 55: Mirror Formula

Formula: 1/f = 1/v + 1/u

NEET 2024 Example: Concave mirror f = 15 cm. Object at 30 cm. Image distance: (a) 10 cm (b) 15 cm (c) 30 cm (d) 45 cm

Solution:

• 1/15 = 1/v + 1/(-30)
• 1/v = 1/15 + 1/30 = 3/30 = 1/10
• v = 10 cm (in front of mirror, real)
• Answer: (a) 10 cm

Type 56: Magnification in Mirrors

Formula: m = -v/u = h’/h

NEET 2023 Example: Object 5 cm tall at 20 cm from concave mirror (f = 10 cm). Image height:

• 1/10 = 1/v + 1/(-20) → v = 20 cm
• m = -20/(-20) = 1
• h’ = 1 × 5 = 5 cm (same size, inverted)

Type 57: Lens Formula

Formula: 1/f = 1/v – 1/u

NEET 2022 Example: Convex lens f = 20 cm. Object at 30 cm. Image position:

• 1/20 = 1/v – 1/(-30)
• 1/v = 1/20 – 1/30 = 1/60
• v = 60 cm (on opposite side, real)

Type 58: Power of Lens

Formula: P = 1/f (f in meters, P in diopters)

NEET 2021 Type: Lens focal length 25 cm. Power:

• f = 0.25 m
• P = 1/0.25 = +4 D

Type 59: Combination of Lenses

Formula: P_total = P₁ + P₂ OR 1/f_eq = 1/f₁ + 1/f₂

NEET 2020 Example: Convex lens +5 D and concave lens -3 D in contact. Combined power:

• P = 5 + (-3) = +2 D

Type 60: Refraction Through Glass Slab

Formula: Lateral displacement = t sin(i-r)/cos(r)

NEET 2019 Type: Light passes through glass slab. Incident and emergent rays are:

• Parallel to each other (standard property)

B. WAVE OPTICS (4 Most Repeated Types)

Type 61: Young’s Double Slit – Fringe Width

Formula: β = λD/d

NEET 2024 Example: Wavelength 600 nm, D = 1 m, slit separation 1 mm. Fringe width:

• β = (600×10⁻⁹ × 1)/(10⁻³) = 6×10⁻⁴ m = 0.6 mm

Type 62: Position of nth Bright Fringe

Formula: y_n = nλD/d

NEET 2023 Type: For 3rd bright fringe with λ = 500 nm, D = 1 m, d = 0.5 mm:

• y₃ = (3 × 500×10⁻⁹ × 1)/(0.5×10⁻³) = 3 mm

Type 63: Condition for Constructive Interference

Formula: Path difference = nλ

NEET 2022 Example: Two coherent sources. At point P, path difference is 2λ. This is:

• 2nd order bright fringe (n = 2)

Type 64: Condition for Destructive Interference

Formula: Path difference = (2n-1)λ/2

NEET 2021 Type: Path difference λ/2. This gives:

• 1st dark fringe (minimum intensity)

SECTION 4: MODERN PHYSICS (10 Problem Types)

A. DUAL NATURE OF MATTER (4 Most Repeated Types) ⭐⭐⭐

Type 65: De Broglie Wavelength

Formula: λ = h/p = h/(mv)

NEET 2024 Example: Electron (m = 9.1×10⁻³¹ kg) moving at 10⁶ m/s. De Broglie wavelength (h = 6.63×10⁻³⁴): (a) 0.73 nm (b) 7.3 nm (c) 0.073 nm (d) 73 nm

Solution:

• λ = 6.63×10⁻³⁴/(9.1×10⁻³¹ × 10⁶)
• λ = 6.63×10⁻³⁴/9.1×10⁻²⁵
• λ = 0.73×10⁻⁹ m = 0.73 nm
• Answer: (a) 0.73 nm

Type 66: Photoelectric Effect – Maximum KE

Formula: KE_max = hf – φ = h(f – f₀)

NEET 2023 Example: Light frequency 6×10¹⁴ Hz, work function 2 eV. Maximum KE (h = 6.63×10⁻³⁴, 1 eV = 1.6×10⁻¹⁹ J):

• E = hf = 6.63×10⁻³⁴ × 6×10¹⁴ = 3.98×10⁻¹⁹ J = 2.49 eV
• KE_max = 2.49 – 2 = 0.49 eV ≈ 0.5 eV

Type 67: Stopping Potential

Formula: eV₀ = KE_max

NEET 2022 Type: If KE_max = 2 eV, stopping potential:

• V₀ = 2 V

Type 68: Threshold Frequency

Formula: f₀ = φ/h

NEET 2021 Example: Work function 3.3 eV. Threshold frequency:

• φ = 3.3 × 1.6×10⁻¹⁹ = 5.28×10⁻¹⁹ J
• f₀ = 5.28×10⁻¹⁹/6.63×10⁻³⁴ = 8×10¹⁴ Hz

B. ATOMS & NUCLEI (6 Most Repeated Types)

Type 69: Energy of Hydrogen Atom Levels

Formula: E_n = -13.6/n² eV

NEET 2024 Type: Energy of electron in n = 2 state of hydrogen:

• E₂ = -13.6/4 = -3.4 eV

Type 70: Energy of Emitted Photon

Formula: E = E₂ – E₁ = 13.6(1/n₁² – 1/n₂²)

NEET 2023 Example: Electron jumps from n = 3 to n = 1. Energy of photon:

• E = 13.6(1/1² – 1/3²) = 13.6(1 – 1/9) = 13.6 × 8/9 = 12.09 eV

Type 71: Wavelength of Emitted Photon

Formula: λ = hc/E

NEET 2022 Type: Photon energy 2 eV. Wavelength (hc = 1240 eV·nm):

• λ = 1240/2 = 620 nm

Type 72: Radioactive Decay

Formula: N = N₀e⁻λt OR N = N₀(1/2)^(t/T₁/₂)

NEET 2021 Example: Half-life 10 days. After 20 days, fraction remaining:

• N/N₀ = (1/2)^(20/10) = (1/2)² = 1/4

Type 73: Activity of Radioactive Sample

Formula: A = λN OR A = A₀e⁻λt

NEET 2020 Type: Initial activity 1000 Bq, half-life 5 hours. Activity after 10 hours:

• A = 1000 × (1/2)^(10/5) = 1000/4 = 250 Bq

Type 74: Mass-Energy Relation

Formula: E = mc²

NEET 2019 Example: Mass defect 0.01 u. Binding energy (1 u = 931 MeV):

• E = 0.01 × 931 = 9.31 MeV

Quick Reference: Most Important Formulas

Mechanics:

• Projectile: H = u²sin²θ/2g, R = u²sin2θ/g
• Newton: F = ma, f = μN
• Work-Energy: W = Fd, KE = ½mv², PE = mgh
• Momentum: p = mv, Impulse = FΔt

Electricity:

• Coulomb: F = kq₁q₂/r²
• Ohm: V = IR
• Power: P = I²R = V²/R
• Capacitor: C = Q/V, U = ½CV²

Magnetism:

• Force: F = qvB, F = BIL
• Field: B = μ₀I/2πr (wire), B = μ₀I/2r (loop center)

Optics:

• Mirror: 1/f = 1/v + 1/u
• Lens: 1/f = 1/v – 1/u
• Power: P = 1/f (meters)
• Fringe width: β = λD/d

Modern:

• De Broglie: λ = h/p
• Photoelectric: KE = hf – φ
• H-atom: E_n = -13.6/n² eV
• Decay: N = N₀(1/2)^(t/T)

How Deeksha Learning Helps Master These Patterns

At Deeksha Learning, we don’t just teach formulas – we teach pattern recognition. Our Physics faculty has analyzed 12 years of NEET papers to create:

• Problem-Type Database: Every numerical categorized by type
• Variation Practice: 20+ variations of each high-frequency pattern
• Speed Techniques: Solve standard types in under 90 seconds
• Mock Analysis: Track which problem types you’re missing

Our 2025 NEET Physics Batch Results:

• Average score: 152/180 (compared to national average of 110)
• 85% students solved 40+ questions correctly
• Zero students scored below 120

Practice Strategy

• Week 1-2: Master Types 1-30 (Mechanics) 
• Week 3-4: Master Types 31-55 (Electricity & Magnetism) 
• Week 5: Master Types 56-65 (Optics) 
• Week 6: Master Types 66-74 (Modern Physics) 
• Week 7-8: Mixed practice + time trials

Daily Target: 10 problem types × 3 variations each = 30 problems daily

Remember: Numerical questions accounted for a higher weightage in the 2025 NEET paper. The more variations you practice, the faster you’ll recognize patterns on exam day.