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# jeeadv.ac.in JEE Advanced Question Paper 2016 : Indian Institutes of Technology

Name of the Institute : Indian Institutes of Technology
Name of the Examination : JEE (Advanced)
Subject : Physics/ Chemistry/ Mathematics
Document Type : Previous Question Paper
Year : 2015 – 2016

Year 2015 :

Year 2016 :

## JEE Advanced Question Papers :

Part – I : Physics :
Section – 1 : Instruction
Maximum Marks : 15
** This section contains FIVE questions.
** Each question has FOUR options (A), (B), (C) and (D). ONLY ONE of these four options is correct.
** For each question, darken the bubble corresponding to the correct option in the ORS,

Related :Indian Institutes of Technology JEE Advanced Question Paper Sample : www.pdfquestion.in/84.html

For each question, marks will be awarded in one of the following categories:
Full Marks : +3 If only the bubble corresponding to the correct option is darkened.
Zero Marks : 0 If none of the bubbles is darkened
Negative Marks : –1 In all other cases.

Q.1 In a historical experiment to determine Planck’s constant, a metal surface was irradiated with light of different wavelengths. The emitted photoelectron energies were measured by applying a stopping potential. The relevant data for the wavelength (A) of incident light and the corresponding stopping potential (Vo) are given below Given that c = 3 × 10°m s” and e = 1.6 x 10°C, Planck’s constant (in units of J s) found from such an experiment is
(A) 6.0 × 10-4
(B) 6.4 x 1034
(C) 6.6 × 10-34
(D) 6.8 × 10-34

Q.2. A water cooler of storage capacity 120 litres can cool water at a constant rate of P watts. In a closed circulation system (as shown schematically in the figure), the water from the cooler is used to cool an external device that generates constantly 3 kW of heat (thermal load). The temperature of water fed into the device cannot exceed 30 °C and the entire stored 120 litres of water is initially cooled to 10 °C. The entire system is thermally insulated. The minimum value of P (in watts) for which the device can be operated for 3 hours is
(Specific heat of water is 4.2 kJ kg ‘K’ and the density of water is 1000 kg mº)
(A) 1600
(B) 2067
(C) 2533
(D) 3933

Q.3 A parallel beam of light is incident from air at an angle a on the side PQ of a right angled triangular prism of refractive index n=N2. Light undergoes total internal reflection in the prism at the face PR when a has a minimum value of 45°. The angle 6 of the prism is
(A) 15°
(B) 22.5°
(C) 30°
(D) 45°

Section 2 :
Maximum Marks : 32
** This section contains EIGHT questions.
** Each question has FOUR options (A), (B), (C) and (D). ONE OR MORE THAN ONE of these four option(s) is(are) correct.
** For each question, darken the bubble(s) corresponding to all the correct option(s) in the ORS.

For each question, marks will be awarded in one of the following categories:
Full Marks : +4 If only the bubble(s) corresponding to all the correct option(s) is(are) darkened.
Partial Marks : +1 For darkening a bubble corresponding to each correct option,provided NO incorrect option is darkened.
Zero Marks : 0 If none of the bubbles is darkened.
Negative Marks : —2. In all other cases.

For example, if (A), (C) and (D) are all the correct options for a question, darkening all these three will result in +4 marks; darkening only (A) and (D) will result in +2 marks; and darkening (A) and (B) will result in-2 marks, as a wrong option is also darkened

Q.5 Highly excited states for hydrogen-like atoms (also called Rydberg states) with nuclear charge Ze are defined by their principal quantum number n, where n >1. Which of the following statement(s) is(are) true?
(A) Relative change in the radii of two consecutive orbitals does not depend on Z
(B) Relative change in the radii of two consecutive orbitals varies as 1/n
(C) Relative change in the energy of two consecutive orbitals varies as 1/n.”
(D) Relative change in the angular momenta of two consecutive orbitals varies as 1/n

Q.7. Two loudspeakers M and N are located 20 m apart and emit sound at frequencies 118 Hz and 121 Hz, respectively. A car is initially at a point P, 1800 m away from the Inidpoint Q of the line MN and moves towards Q constantly at 60 km/hr along the perpendicular bisector of MN. It crosses Q and eventually reaches a point R, 1800 m away from Q. Let v(t) represent the beat frequency measured by a person sitting in the car at time t. Let ve., vo and v, be the beat frequencies measured at locations P, Q and R, respectively. The speed of sound in air is 330 m sº. Which of the following statement(s) is(are) true regarding the sound heard by the person?
(A) vet Vn = 2 vo
(B) The rate of change in beat frequency is maximum when the car passes through Q
(C) The plot below represents schematically the variation of beat frequency with time
(D) The plot below represents schematically the variation of beat frequency with time

Q.8 An incandescent bulb has a thin filament of tungsten that is heated to high temperature by passing an electric current. The hot filament emits black-body radiation. The filament is observed to break up at random locations after a sufficiently long time of operation due to non-uniform evaporation of tungsten from the filament. If the bulb is powered at constant voltage, which of the following statement(s) is(are) true?
(A) The temperature distribution over the filament is uniform
(B) The resistance over small sections of the filament decreases with time
(C) The filament emits more light at higher band of frequencies before it breaks up
(D) The filament consumes less electrical power towards the end of the life of the bulb

Q.9 A plano-convex lens is made of a material of refractive index n. When a small object is placed 30 cm away in front of the curved surface of the lens, an image of double the size of the object is produced. Due to reflection from the convex surface of the lens, another faint image is observed at a distance of 10 cm away from the lens. Which of the following statement(s) is(are) true?
(A) The refractive index of the lens is 2.5
(B) The radius of curvature of the convex surface is 45 cm
(C) The faint image is erect and real
(D) The focal length of the lens is 20 cm

Q. 10 A length-scale (l) depends on the permittivity (8) of a dielectric material, Boltzmann constant (ke), the absolute temperature (T), the number per unit volume (n) of certain charged particles, and the charge (q) carried by each of the particles. Which of the following expression(s) for l is(are) dimensionally correct?
(A) The magnitude of induced emf in the wire is (*) volt
(B) The induced current in the wire is in opposite direction to the current along the hypotenuse
(C) There is a repulsive force between the wire and the loop
(D) If the loop is rotated at a constant angular speed about the wire, an additional emf of (*) volt is induced in the wire