1
JEE Advanced 2015 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
A ring of mass M and radius R is rotating with angular speed $$\omega$$ about a fixed vertical axis passing through its centre O with two point masses each of mass $${M \over 8}$$ at rest at O. These masses can move radially outwards along two massless rods fixed on the ring as shown in the figure. At some instant, the angular speed of the system is $${8 \over 9}$$$$\omega$$ and one of the masses is at a distance of $${3 \over 5}$$R from O. At this instant, the distance of the other mass from O is
A
$${2 \over 3}$$R
B
$${1 \over 3}$$R
C
$${3 \over 5}$$R
D
$${4 \over 5}$$R
2
JEE Advanced 2015 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
Two identical glass rods S1 and S2 (refractive index = 1.5) have one convex end of radius of curvature 10 cm. They are placed with the curved surfaces at a distance d as shown in the figure, with their axes (shown by the dashed line) aligned. When a point source of light P is placed inside rod S1 on its axis at a distance of 50 cm from the curved face, the light rays emanating from it are found to be parallel to the axis inside S2. The distance d is
A
60 cm
B
70 cm
C
80 cm
D
90 cm
3
JEE Advanced 2015 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
A conductor (shown in the figure) carrying constant current I is kept in the x-y plane in a uniform magnetic field B. If F is the magnitude of the total magnetic force acting on the conductor, then the correct statements is/are
A
if B is along $$\widehat z$$, F $$\propto$$ (L + R)
B
if B is along $$\widehat x$$, F = 0
C
if B is along $$\widehat y$$, F $$\propto$$ (L + R)
D
if B is along $$\widehat z$$, F = 0
4
JEE Advanced 2015 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
In an aluminium (Al) bar of square cross section, a square hole is drilled and is filled with iron (Fe) as shown in the figure. The electrical resistivities of Al and Fe are 2.7 $$\times$$ 10$$-$$8$$\Omega$$ m and 1.0 $$\times$$ 10$$-$$7 $$\Omega$$ m, respectively. The electrical resistance between the two faces P and Q of the composite bar is
A
$${{2475} \over {64}}\mu \Omega$$
B
$${{1875} \over {64}}\mu \Omega$$
C
$${{1875} \over {49}}\mu \Omega$$
D
$${{2475} \over {132}}\mu \Omega$$
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