1
AIPMT 2005
MCQ (Single Correct Answer)
+4
-1
Two boys are standing at the ends A and B of a ground where AB = a. The boy at B starts running in a direction perpendicular to AB with velocity v1. The boy at A starts running simultaneously with velocity v and catches the other in a time t, where t is
A
$${a \over {\sqrt {{v^2} + {v_1}^2} }}$$
B
$${a \over {v + {v_1}}}$$
C
$${a \over {v - {v_1}}}$$
D
$$\sqrt {{a \over {{v^2} - {v_1}^2}}} $$
2
AIPMT 2005
MCQ (More than One Correct Answer)
+4
-1
A stone tied to the end of a string of 1 m long is whirled in a horizontal circle with a constant speed. If the stone makes 22 revoluations in 44 seconds, what is the magnitude and direction of acceleration of the stone ?
A
$${\pi ^2}\,$$ m s$$-$$2 and direction along the radius towards the centre
B
$${\pi ^2}\,$$ m s$$-$$2 and direction along the radius away from the centre
C
$${\pi ^2}\,$$ m s$$-$$2 and direction along the tangent to the circle
D
$${\pi ^2}\,$$/4 ms$$-$$2 and direction along the radius towards the centre.
3
AIPMT 2005
MCQ (Single Correct Answer)
+4
-1
If the angle between the vectors $$\overrightarrow A $$ and $$\overrightarrow B $$ is $$\theta $$, the value of the product $$\left( {\overrightarrow B \times \overrightarrow A } \right).\overrightarrow A $$ is equal to
A
BA2sin$$\theta $$
B
BA2cos$$\theta $$
C
BA2sin$$\theta $$cos$$\theta $$
D
zero.
4
AIPMT 2005
MCQ (Single Correct Answer)
+4
-1
If a vector $$2\widehat i + 3\widehat j + 8\widehat k$$ is perpendicular to the vector $$4\widehat j + 4\widehat i + \alpha \widehat k,$$ then the value of $$\alpha $$ is
A
1/2
B
$$-$$ 1/2
C
1
D
$$-$$ 1.
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