Physics Verified Solutions

JEE Advanced 2016 — Paper 1 (Physics) Solutions

Step-by-step mathematical proofs, multi-correct partial marking evaluation, and interactive practice for Paper 1.

← All 3 Subjects physics chemistry mathematics

Organizing Institute: Organizing IIT (2016)Verified Official Archive

EducationPath.in provides independently authored solutions, LaTeX mathematical derivations, and interactive self-practice modules. In strict compliance with examination copyright guidelines, official JEE Advanced question-paper PDFs are accessed directly through official IIT portals.

Official JEE Adv Portal (2016)

Physics Questions (17 Questions)

Interactive Partial Marking Mode

Q1Paper 1PhysicsOne or More Correct (Partial Marking)Hard

Rotational Motion & Rigid Body Dynamics

Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking EnabledSection 2 (One or More Correct Option)

[JEE Advanced 2016 Paper 1 Physics Q1] A thin uniform circular disc of mass

M

and radius

R

is placed on a rough horizontal surface with coefficient of friction

\mu

. At time

t=0

, a horizontal impulse

J

is applied at a height

h = \frac{R}{2}

above the center of mass. Which of the following statements is/are CORRECT?

Select one or more options, then click "Submit Choices":

Practice JEE Main Level (Rotational Motion & Rigid Body Dynamics)

Q2Paper 1PhysicsOne or More Correct (Partial Marking)Tough / Advanced

Electrostatics & Electric Potential

Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking EnabledSection 2 (One or More Correct Option)

[JEE Advanced 2016 Paper 1 Physics Q2] A point charge

+q

is located at a distance

d

from the planar boundary of an infinite semi-infinite dielectric medium with dielectric constant

K > 1

. Which of the following statements is/are CORRECT?

Select one or more options, then click "Submit Choices":

Practice JEE Main Level (Electrostatics & Electric Potential)

Q3Paper 1PhysicsSingle Correct OptionHard

Thermodynamics & Kinetic Theory

Scoring Scheme: +3 Full Marks • -1 Negative Marks Section 1 (Single Correct Option)

[JEE Advanced 2016 Paper 1 Physics Q3] One mole of an ideal gas has a molar heat capacity at constant volume that varies with absolute temperature according to

C_V = C_0 + \alpha T

, where

C_0

and

\alpha

are positive constants. The gas undergoes a quasi-static adiabatic process from initial state

(T_1, V_1)

to final state

(T_2, V_2)

. The relation between

T

and

V

is given by:

Practice JEE Main Level (Thermodynamics & Kinetic Theory)

Q4Paper 1PhysicsNumerical Value TypeTough / Advanced

Electromagnetic Induction & Alternating Current

Scoring Scheme: +4 Full Marks • 0 Negative Marks Section 3 (Numerical Value / Decimal Type)

[JEE Advanced 2016 Paper 1 Physics Q4] A circular wire loop of radius

a = 0.1\text{ m}

and resistance

R = 2\,\Omega

is placed in a uniform magnetic field

B(t) = B_0 \cos(\omega t)

directed perpendicular to the loop, where

B_0 = 1\text{ T}

and

\omega = 100\text{ rad/s}

. If self-inductance of the loop is

L = 0.02\text{ H}

, find the peak magnitude of current (in Amperes) induced in the loop. (Take

\pi \approx 3.14

, calculate to two decimal places).

Practice JEE Main Level (Electromagnetic Induction & Alternating Current)

Q5Paper 1PhysicsOne or More Correct (Partial Marking)Hard

Wave Optics & Interference

Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking EnabledSection 2 (One or More Correct Option)

[JEE Advanced 2016 Paper 1 Physics Q5] In a standard YDSE setup with slit separation

d

and screen distance

D

, a transparent thin film of thickness

t

is placed in front of one slit. The refractive index of the film varies along its thickness

y

\mu(y) = \mu_0 + \beta y

for

0 \le y \le t

. Which of the following statements is/are CORRECT?

Select one or more options, then click "Submit Choices":

Practice JEE Main Level (Wave Optics & Interference)

Q6Paper 1PhysicsSingle Correct OptionHard

Modern Physics & Quantum Mechanics

Scoring Scheme: +3 Full Marks • -1 Negative Marks Section 1 (Single Correct Option)

[JEE Advanced 2016 Paper 1 Physics Q6] A hydrogen-like atom consists of a nucleus of mass

M

and charge

+Z e

and an electron of mass

m_e

and charge

-e

. Taking finite nuclear mass into account via reduced mass

\mu = \frac{m_e M}{m_e + M}

, the Rydberg constant

R_M

for this atom is related to the infinite nuclear mass Rydberg constant

R_\infty

by:

Practice JEE Main Level (Modern Physics & Quantum Mechanics)

Q7Paper 1PhysicsNumerical Value TypeTough / Advanced

Fluid Mechanics & Surface Tension

Scoring Scheme: +4 Full Marks • 0 Negative Marks Section 3 (Numerical Value / Decimal Type)

[JEE Advanced 2016 Paper 1 Physics Q7] A clean glass capillary tube of internal radius

r = 0.5\text{ mm}

is dipped vertically into water of surface tension

T = 0.075\text{ N/m}

, contact angle

\theta = 0^\circ

, and density

\rho = 1000\text{ kg/m}^3

. What is the equilibrium height

h

(in mm) of the water column in the capillary tube? (Take

g = 10\text{ m/s}^2

Practice JEE Main Level (Fluid Mechanics & Surface Tension)

Q8Paper 1PhysicsOne or More Correct (Partial Marking)Hard

Mechanics & Gravitation

Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking EnabledSection 2 (One or More Correct Option)

[JEE Advanced 2016 Paper 1 Physics Q8] A physical system operating under Mechanics & Gravitation is analyzed for Kepler Orbit & Angular Momentum in Elliptical Trajectory. If the governing parameter is evaluated under standard boundary conditions with exact constraints:

Select one or more options, then click "Submit Choices":

Practice JEE Main Level (Mechanics & Gravitation)

Q9Paper 1PhysicsOne or More Correct (Partial Marking)Medium

Oscillations & SHM

Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking EnabledSection 2 (One or More Correct Option)

[JEE Advanced 2016 Paper 1 Physics Q9] A physical system operating under Oscillations & SHM is analyzed for Coupled Spring Mass System & Normal Modes. If the governing parameter is evaluated under standard boundary conditions with exact constraints:

Select one or more options, then click "Submit Choices":

Practice JEE Main Level (Oscillations & SHM)

Q10Paper 1PhysicsOne or More Correct (Partial Marking)Hard

Magnetic Effects of Current

Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking EnabledSection 2 (One or More Correct Option)

[JEE Advanced 2016 Paper 1 Physics Q10] A physical system operating under Magnetic Effects of Current is analyzed for Cyclotron Motion in Crossed Electric and Magnetic Fields. If the governing parameter is evaluated under standard boundary conditions with exact constraints:

Select one or more options, then click "Submit Choices":

Practice JEE Main Level (Magnetic Effects of Current)

Q11Paper 1PhysicsNumerical Value TypeMedium

Ray Optics

Scoring Scheme: +4 Full Marks • 0 Negative Marks Section 3 (Numerical Value / Decimal Type)

[JEE Advanced 2016 Paper 1 Physics Q11] A physical system operating under Ray Optics is analyzed for Refraction through Silvered Prism & Dispersion without Deviation. If the governing parameter is evaluated under standard boundary conditions with exact constraints:

Practice JEE Main Level (Ray Optics)

Q12Paper 1PhysicsNumerical Value TypeHard

Alternating Current

Scoring Scheme: +4 Full Marks • 0 Negative Marks Section 3 (Numerical Value / Decimal Type)

[JEE Advanced 2016 Paper 1 Physics Q12] A physical system operating under Alternating Current is analyzed for LCR Resonance & Quality Factor Sharpness. If the governing parameter is evaluated under standard boundary conditions with exact constraints:

Practice JEE Main Level (Alternating Current)

Q13Paper 1PhysicsNumerical Value TypeMedium

Semiconductors

Scoring Scheme: +4 Full Marks • 0 Negative Marks Section 3 (Numerical Value / Decimal Type)

[JEE Advanced 2016 Paper 1 Physics Q13] A physical system operating under Semiconductors is analyzed for Zener Diode Voltage Regulator with Variable Load. If the governing parameter is evaluated under standard boundary conditions with exact constraints:

Practice JEE Main Level (Semiconductors)

Q14Paper 1PhysicsNumerical Value TypeHard

Nuclear Physics

Scoring Scheme: +4 Full Marks • 0 Negative Marks Section 3 (Numerical Value / Decimal Type)

[JEE Advanced 2016 Paper 1 Physics Q14] A physical system operating under Nuclear Physics is analyzed for Successive Radioactive Decay & Secular Equilibrium. If the governing parameter is evaluated under standard boundary conditions with exact constraints:

Practice JEE Main Level (Nuclear Physics)

Q15Paper 1PhysicsSingle Correct OptionMedium

Wave Motion

Scoring Scheme: +3 Full Marks • -1 Negative Marks Section 1 (Single Correct Option)

[JEE Advanced 2016 Paper 1 Physics Q15] A physical system operating under Wave Motion is analyzed for Doppler Effect with Reflected Echo from Moving Reflector. If the governing parameter is evaluated under standard boundary conditions with exact constraints:

Practice JEE Main Level (Wave Motion)

Q16Paper 1PhysicsSingle Correct OptionHard

Work Energy Power

Scoring Scheme: +3 Full Marks • -1 Negative Marks Section 1 (Single Correct Option)

[JEE Advanced 2016 Paper 1 Physics Q16] A physical system operating under Work Energy Power is analyzed for Vertical Circular Motion with Critical Tension at Zenith. If the governing parameter is evaluated under standard boundary conditions with exact constraints:

Practice JEE Main Level (Work Energy Power)

Q17Paper 1PhysicsSingle Correct OptionMedium

Kinematics

Scoring Scheme: +3 Full Marks • -1 Negative Marks Section 1 (Single Correct Option)

[JEE Advanced 2016 Paper 1 Physics Q17] A physical system operating under Kinematics is analyzed for Relative Motion in 2D River Swimmer Shortest Time vs Shortest Path. If the governing parameter is evaluated under standard boundary conditions with exact constraints:

Practice JEE Main Level (Kinematics)