1
IIT-JEE 2008 Paper 2 Offline
+3
-1

A bob of mass M is suspended by a massless string of length L. The horizontal velocity V at position A is just sufficient to make it reach the point B. The angle $$\theta$$ at which the speed of the bob is half of that at A, satisfies,

A
$$\theta = {\pi \over 4}$$
B
$${\pi \over 4} < \theta < {\pi \over 2}$$
C
$${\pi \over 2} < \theta < {{3\pi } \over 4}$$
D
$${{3\pi } \over 4} < \theta < \pi$$
2
IIT-JEE 2004 Screening
+2
-0.5
A particle is acted by a force F = kx, where k is a +ve constant. Its potential energy at x = 0 is zero. Which curve correctly represents the variation of potential energy of the block with respect to x
A
B
C
D
3
IIT-JEE 2003 Screening
+2
-0.5
If W1, W2 and W3 represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass m, find the correct relation between W1, W2 and W3.
A
W1 > W2 > W3
B
W1 = W2 = W3
C
W1 < W2 < W3
D
W2 > W1 > W3
4
IIT-JEE 2002 Screening
+2
-0.5
An ideal spring with spring-constant k is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the spring is
A
$${{4Mg} \over k}$$
B
$${{2Mg} \over k}$$
C
$${{Mg} \over k}$$
D
$${{Mg} \over {2k}}$$
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