1
IIT-JEE 2009 Paper 1 Offline
+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
2
IIT-JEE 2008 Paper 2 Offline
+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
3
IIT-JEE 2008 Paper 1 Offline
+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
4
IIT-JEE 2008 Paper 1 Offline
+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 C, immediately before it leaves the second incline is

A
$$\sqrt{120}$$ m/s
B
$$\sqrt{105}$$ m/s
C
$$\sqrt{90}$$ m/s
D
$$\sqrt{75}$$ m/s
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