1
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
2
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
$${{Mg} \over {2k}}$$
3
IIT-JEE 2000 Screening
+2
-0.5
A wind-powered generator converts wind energy into electrical energy. Assume that the generator converts a fixed fraction of the wind energy intercepted by its blades into electrical energy. For wind speed v, the electrical power output will be proportional to
A
v
B
v2
C
v3
D
v4
4
IIT-JEE 1999 Screening
+2
-0.5
A spring of force-constant k is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force-constant of
A
$$\left( {{2 \over 3}} \right)k$$
B
$$\left( {{3 \over 2}} \right)k$$
C
3 k
D
6 k
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