1
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
Change Language
If vectors $$\overrightarrow A = \cos \omega t\widehat i + \sin \omega t\widehat j$$ and $$\overrightarrow B = \cos {{\omega t} \over 2}\widehat i + \sin {{\omega t} \over 2}\widehat j$$ are functions of time, then the value of t at which they are orthogonal to each other is
A
$$t = {\pi \over \omega }$$
B
t $$=$$ 0
C
$$t = {\pi \over {4\omega }}$$
D
$$t = {\pi \over {2\omega }}$$
2
AIPMT 2015 Cancelled Paper
MCQ (Single Correct Answer)
+4
-1
Change Language
A ship A is moving Westwards with a speed of 10 km h$$-$$1 and a ship B 100 km South of A, is moving Northwards with a speed of 10 km h$$-$$1. The time after which the distance between them becomes shortest, is
A
$$5\sqrt 2 $$ h
B
$$10\sqrt 2 $$ h
C
0 h
D
5 h
3
AIPMT 2014
MCQ (Single Correct Answer)
+4
-1
Change Language
A particle is moving such that is position coordinates (x, y) are (2 m, 3 m) at time t = 0, (6 m, 7 m)
at time t = 2 s and (13 m, 14 m) at time t = 5 s.

Average velocity vector $$\left( {{{\overrightarrow v }_{av}}} \right)$$ from t = 0 to t = 5 s is
A
$${1 \over 5}\left( {13\widehat i + 14\widehat j} \right)$$
B
$${7 \over 3}\left( {\widehat i + \widehat j} \right)$$
C
$$2\left( {\widehat i + \widehat j} \right)$$
D
$${11 \over 5}\left( {\widehat i + \widehat j} \right)$$
4
AIPMT 2014
MCQ (Single Correct Answer)
+4
-1
Change Language
A projectile is fired from the surface of the earth with a velocity of 5 m s$$-$$1 and angle $$\theta $$ with the horizontal. Another projectile fired from another planet with a velocity of 3 m s$$-$$1 at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is (in m s$$-$$2) is
(Given g = 9.8 m s$$-$$2)
A
3.5
B
5.9
C
16.3
D
110.8
NEET Subjects
EXAM MAP