1
IIT-JEE 2009 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
A piece of wire is bent in the shape of a parabola y = kx2 (y-axis vertical) with a bead of mass m on it. The bead can slide on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the x-axis with a constant acceleration $$a$$. The distance of the new equilibrium position of the bead, where the bead can stays at rest with respect to the wire, from the y-axis is
A
$${a \over {gk}}$$
B
$${a \over {2gk}}$$
C
$${{2a} \over {gk}}$$
D
$${a \over {4gk}}$$
2
IIT-JEE 2009 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1
A block of base 10 cm × 10 cm and height 15 cm is kept on an inclined plane. The coefficient of friction between them is $$\sqrt 3$$. The inclination θ of this inclined plane from the horizontal plane is gradually increased from $$0^\circ$$. Then
A
at θ = $$60^\circ$$, the block will start sliding down the plane
B
the block will remain at rest on the plane up to certain θ and then it will topple
C
at θ = $$60^\circ$$, the block will start sliding down the plane and continue to do so at higher angles
D
at θ = $$60^\circ$$, the block will start sliding down the plane and on further increasing θ, it will topple at certain θ
3
IIT-JEE 2008 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

STATEMENT 1 : It is easier to pull a heavy object than to push it on a level ground.

and

STATEMENT 2 : The magnitude of frictional force depends on the nature of the two surfaces in contact.

A
Statement 1 is True, Statement 2 is True; Statement 2 is a CORRECT explanation for Statement 1
B
Statement 1 is True, Statement 2 is True; Statement 2 is a NOT CORRECT explanation for Statement 1
C
Statement 1 is True, Statement 2 is False
D
Statement 1 is False, Statement 2 is True
4
IIT-JEE 2008 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

A small block of mass M moves on a frictionless surface of an inclined plane, as shown in figure. The angle of the incline suddenly changes from 60$$^\circ$$ to 30$$^\circ$$ at point B. The block is initially at rest at A. Assume that collisions between the block and the incline are totally inelastic (g = 10 m/s$$^2$$).

The speed of the block at point B immediately after it strikes the second incline is

A
$$\sqrt{60}$$ m/s
B
$$\sqrt{45}$$ m/s
C
$$\sqrt{30}$$ m/s
D
$$\sqrt{75}$$ m/s
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