1
JEE Advanced 2016 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
Two loudspeakers M and N are located 20m apart and emit sound at frequencies 118 Hz and 121 Hz, respectively. A car in initially at a point P, 1800 m away from the midpoint Q of the line MN and moves towards Q constantly at 60 km/h 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 vP, vQ and vR be the beat frequencies measured at locations P, Q and R respectively. The speed of sound in air is 330 ms$$-$$1. Which of the following statement(s) is (are) true regarding the sound heard by the person?
A
The plot below represents schematically the variation of beat frequency with time
JEE Advanced 2016 Paper 1 Offline Physics - Waves Question 22 English Option 1
B
The rate of change in beat frequency is maximum when the car passes through Q
C
vP + vR = 2vQ
D
The plot below represents schematically the variations of beat frequency with time

JEE Advanced 2016 Paper 1 Offline Physics - Waves Question 22 English Option 4
2
JEE Advanced 2016 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
A transparent slab of thickness d has a refractive index n (z) that increases with z. Here, z is the vertical distance inside the slab, measured from the top. The slab is placed between two media with uniform refractive indices n1 and n2 (> n1), as shown in the figure. A ray of light is incident with angle $$\theta$$i from medium 1 and emerges in medium 2 with refraction angle $$\theta$$f with a lateral displacement $l$.

JEE Advanced 2016 Paper 1 Offline Physics - Geometrical Optics Question 41 English
Which of the following statement(s) is (are) true?
A
$l$ is dependent on n(z)
B
n1 sin$$\theta$$i = (n2 $$-$$ n1) sin$$\theta$$f
C
n1 sin$$\theta$$i = n2 sin$$\theta$$f
D
$l$ is independent of n2
3
JEE Advanced 2016 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
Highly excited states for hydrogen-like atoms (also called Rydberg states) with nuclear charge Ze are defined by their principle 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/n3
D
Relative change in the angular momenta of two consecutive orbitals varies as 1/n
4
JEE Advanced 2016 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
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
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