1
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.
2
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.
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
A drum of radius R and mass M, rolls down without slipping along an inclined plane of angle $$\theta $$. The frictional force
A
dissipates energy as heat
B
decreases the rotational motion
C
decreases the rotational and translation motion
D
converts translational energy to rotational energy.