IMU CETPhysicsModern Physics
⚛️ Physics

Modern Physics

50 marks in IMU CET
154 questions in bank
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📖 What IMUCET Tests from Modern Physics

Think of Modern Physics as the automated control systems on a modern oil tanker. You do not need to know how to manufacture the silicon microchips, but you must understand exactly how the inputs translate to outputs to keep the vessel running safely. In the IMUCET exam, Modern Physics is your highest-yielding territory. It is straightforward, formula-driven, and completely free of the complex vector diagrams or heavy calculus found in mechanics.

Most candidates lose marks here not because they do not understand the concepts, but because they make sloppy errors during basic unit conversions. Mixing up electron-volts (eV) and Joules, or failing to convert nanometers to meters, will sink your score faster than a hull breach. Master the conversion factors and the core formulas, and you will secure these marks with ease.

🎯 IMUCET Focus
IMUCET focuses heavily on three specific areas: the Photoelectric Effect (calculating maximum kinetic energy or cutoff wavelength), Bohr's Atomic Model (specifically ratios of radius, velocity, and time periods between different orbits), and Nuclear Physics (half-life decay calculations and binding energy from mass defects). The questions are direct applications of NCERT formulas, designed to test your speed and numerical accuracy under time pressure.
MARKS WEIGHTAGE
3-5 questions
🧠 Key Concepts
Einstein's Photoelectric Equation
The energy of an incoming photon (E = hc/lambda) is used to overcome the metal's work function (Phi), and the leftover energy becomes the maximum kinetic energy (K_max) of the emitted electron. Always use the shortcut hc = 1240 eV-nm to find photon energy quickly when the wavelength is given in nanometers.
Bohr's Orbit Proportionalities
In a hydrogen-like atom, the orbit radius r is proportional to (n^2)/Z, the electron velocity v is proportional to Z/n, and the time period of revolution T is proportional to (n^3)/(Z^2). Memorizing these proportionalities allows you to solve ratio questions instantly without calculating absolute values.
Radioactive Decay Law
The quantity of a radioactive substance remaining after n half-lives is given by N = N_0 * (1/2)^n, where n is the total time divided by the half-life period. This simple relation solves almost every decay question asked in the exam.
⚡ What to Skip
If your exam is just two weeks away, you can safely skip the detailed derivations of Bohr's energy levels, complex alpha-beta-gamma decay series pathways, and the wave-particle duality derivations of Davisson-Germer. Focus entirely on the final formulas and ratio relationships.
🏆 Exam Strategy
First, check the units of the options immediately before starting any calculation to see if you need to work in Joules or eV. Second, write down the proportionality relations for Bohr's model questions before touching any numbers to avoid inverse-ratio traps. Third, use the approximation hc = 1240 eV-nm to bypass tedious multiplication and division steps.
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📊 Visual Reference
METAL TARGET (Work Function = Phi)Incident PhotonE = h*f = hc/lambda-Ejected PhotoelectronK_max = E - PhiEnergy Barrier
This diagram illustrates the Photoelectric Effect, showing how an incident photon overcomes the metal's work function barrier to eject a photoelectron with kinetic energy.
✏️ Worked Example
Light of wavelength 400 nm falls on a metal surface having a work function of 2.1 eV. What is the maximum kinetic energy of the emitted photoelectrons? (Take hc = 1240 eV-nm)
Speed Tip
Do not convert eV to Joules unless the options are explicitly written in Joules. Keep your calculations in eV using the 1240 shortcut to complete the entire problem in under 15 seconds.
✅ Quick Check — Before You Practice

Answer these 3 questions to confirm you understood the key concepts above.

Q1. The half-life of a radioactive element is 10 days. What fraction of the original sample remains undecayed after 30 days?
A. 1/2
B. 1/4
C. 1/8
D. 1/16
Q2. According to Bohr's model, what is the ratio of the radius of the second orbit (n = 2) to the first orbit (n = 1) of a hydrogen atom?
A. 2:1
B. 4:1
C. 1:4
D. 8:1
Q3. If the mass defect of a nuclear reaction is 0.02 u, what is the binding energy released? (Take 1 u = 931.5 MeV)
A. 18.63 MeV
B. 186.3 MeV
C. 9.315 MeV
D. 93.15 MeV
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📝 Practice Questions — Modern Physics
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