1
JEE Advanced 2017 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0.75
Change Language
Consider an expanding sphere of instantaneous radius R whose total mass remains constant. The expansion is such that the instantaneous density $$\rho $$ remains uniform throughout the volume. The rate of fractional change in density $$\left( {{1 \over \rho } {{d\rho } \over {dt}}} \right)$$ is constant. The velocity $$v$$ of any point on the surface of the expanding sphere is proportional to
A
$$R$$
B
$${R^3}$$
C
$${1 \over R}$$
D
$${R^{2/3}}$$
2
JEE Advanced 2017 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
Change Language
A wheel of radius R and mass M is placed at the bottom of a fixed step of height R as shown in the figure. A constant force is continuously applied on the surface of the wheel so that it just climbs the step without slipping. Consider the torque $$\tau$$ about an axis normal to the plane of the paper passing through the point Q. Which of the following options is/are correct?

JEE Advanced 2017 Paper 2 Offline Physics - Rotational Motion Question 30 English
A
If the force is applied normal to the circumference at point P, then $$\tau$$ is zero
B
If the force is applied tangentially at point S, then $$\tau$$ $$\ne$$ 0 but the wheel never climbs the step
C
If the force is applied at point P tangentially, then $$\tau$$ decreases continuously as the wheel climbs
D
If the force is applied normal to the circumference at point X, then $$\tau$$ is constant
3
JEE Advanced 2017 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
Change Language
A rigid uniform bar AB of length L is slipping from its vertical position on a frictionless floor (as shown in the figure). At some instant of time, the angle made by the bar with the vertical is $$\theta$$. Which of the following statements about its motion is/are correct?

JEE Advanced 2017 Paper 2 Offline Physics - Rotational Motion Question 29 English
A
Instantaneous torque about the point in contact with the floor is proportional to sin$$\theta$$
B
The trajectory of the point A is parabola
C
The mid-point of the bar will fall vertically downward
D
When the bar makes an angle $$\theta$$ with the vertical, the displacement of its mid-point from the initial position is proportional to (1 $$-$$ cos$$\theta$$)
4
JEE Advanced 2017 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
Change Language
A source of constant voltage V is connected to a resistance R and two ideal inductors L1 and L2 through a switch S as shown. There is no mutual inductance between the two inductors. The switch S is initially open. At t = 0, the switch is closed and current begins to flow. Which of the following options is/are correct?

JEE Advanced 2017 Paper 2 Offline Physics - Electromagnetic Induction Question 10 English
A
After a long time, the current through L1 will be $${V \over R}{{{L_2}} \over {{L_1} + {L_2}}}$$
B
After a long time, the current through L2 will be $${V \over R}{{{L_1}} \over {{L_1} + {L_2}}}$$
C
The ratio of the currents through L1 and L2 is fixed at all times (t > 0)
D
At t = 0, the current through the resistance R is $${V \over R}$$
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