1
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
2
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
$${11 \over 5}\left( {\widehat i + \widehat j} \right)$$
3
AIPMT 2014
MCQ (Single Correct Answer)
+4
-1
Change Language
A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of 2 revolutions s$$-$$2 is
A
25 N
B
50 N
C
78.5 N
D
157 N
4
AIPMT 2014
MCQ (Single Correct Answer)
+4
-1
Change Language
The ratio of the accelerations for a solid sphere (mass m and radius R) rolling down an incline of angle $$\theta $$ without slipping and slipping down the incline without rolling is
A
5 : 7
B
2 : 3
C
2 : 5
D
7 : 5