1
IIT-JEE 2002 Screening
MCQ (Single Correct Answer)
+4
-1
Let $$\overrightarrow V = 2\overrightarrow i + \overrightarrow j - \overrightarrow k $$ and $$\overrightarrow W = \overrightarrow i + 3\overrightarrow k .$$ If $$\overrightarrow U $$ is a unit vector, then the maximum value of the scalar triple product $$\left| {\overrightarrow U \overrightarrow V \overrightarrow W } \right|$$ is
A
$$-1$$
B
$$\sqrt {10} + \sqrt 6 $$
C
$$\sqrt {59} $$
D
$$\sqrt {60} $$
2
IIT-JEE 2002 Screening
MCQ (Single Correct Answer)
+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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