1
JEE Advanced 2016 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
A plano-convex lens is made of 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 form 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
2
JEE Advanced 2016 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
A conducting loop in the shape of a right angled isosceles triangle of height 10 cm is kept such that the 90$$^\circ$$ vertex is very close to an infinitely long conducting wire (see the figure). The wire is electrically insulated from the loop. The hypotenuse of the triangle is parallel to the wire. The current in the triangular loop is in counterclockwise direction and increased at a constant rate of 10 As$$-$$1. Which of the following statement(s) is (are) true?

A
There is a repulsive force between the wire and the loop.
B
If the loop is rotated at a constant angular speed about the wire, an additional emf of $$\left( {{{{\mu _0}} \over \pi }} \right)$$ volt is induced in the wire
C
The magnitude of induced emf in the wire is $$\left( {{{{\mu _0}} \over \pi }} \right)$$ volt
D
The induced current in the wire is in opposite direction to the current along the hypotenuse.
3
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
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

4
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 $l$.

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
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