Hello aspirant,

As per your query, it is not sure that you will surely get a NIT because now you have only one month. But nothing is impossible if you literally dedicate yourself to it. If you try to do to your hardest then you may achieve your goals. Here I'm providing you some of the important topics which you must study and that will be covering your 50% syllabus.

Physics :-

Modern physics

• Bohr atomic model
• photo electric effect
• Radioactivity
• De Broglie wavelength

Thermodynamics

• Graph based different cyclic process
• Carnot cycle
• Mean of wavelength

Electrostatics

• Graph of electric field and potential
• Gauss law and flux based numerical
• Field on axial an equilateral line of dipole

Current electricity

• Drift velocity
• Cell combination
• Power based numerical
• Ammeter, voltmeter and meter bridge
• Potentiometer

Magnetism

• Field due to straight and curved wire
• Solenoid
• Numericals

Semiconductor

• P-N junction diode
• Current gain in transistor
• Logic gates
• Basic numericals

Rotation

• MOI and theorems
• Angular momentum
• Numericals

Ray optics

• Combination of lens
• Silvering of lens
• Prism
• Optical instrument and resolving power

Wave optics

• Young's double split experiment
• Fringe shift
• Diffraction

Electromagnetic induction

• Motional emf
• LR circuit
• Series LCR
• Quality factor and resonance

SHM

1. Equation
2. Pendulum
3. Numericals

Waves

• Equation
• Beats
• Standing waves
• Dopless effect

Chemistry

S & P block

• NCERT reading
• Compounds of Boron
• Trends in chemical properties
• Oxylic acid, phosphorus, sulphur

General Organic Chemistry

• Nomenclature
• Acidity, basicity
• Isomerism
• Electronic effect

Coordination compounds

• NCERT
• Isomerism
• Nomenclature

Chemical bonding

• MOT , VBT  and hybridization
• Dipole moment of hydrogen bonding
• VSEPR theory

Thermodynamics

• Graph of p-v
• Thermo-chemistry
• Free expansion
• Gibbs free energy

Organic chemistry and mathematics must be done by yourself.

Hope this helps :)