1
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
A bullet fired into a fixed target loses half of its velocity after penetrating $$3$$ $$cm.$$ How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion?
A
$$2.0$$ $$cm$$
B
$$3.0$$ $$cm$$
C
$$1.0$$ $$cm$$
D
$$1.5$$ $$cm$$
2
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
A body of mass $$m$$ is accelerated uniformly from rest to a speed $$v$$ in a time $$T.$$ The instantaneous power delivered to the body as a function of time is given by
A
$${{m{v^2}} \over {{T^2}}}.{t^2}$$
B
$${{m{v^2}} \over {{T^2}}}.t$$
C
$${1 \over 2}{{m{v^2}} \over {{T^2}}}.{t^2}$$
D
$${1 \over 2}{{m{v^2}} \over {{T^2}}}.t$$
3
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
A spherical ball of mass $$20$$ $$kg$$ is stationary at the top of a hill of height $$100$$ $$m$$. It rolls down a smooth surface to the ground, then climbs up another hill of height $$30$$ $$m$$ and finally rolls down to a horizontal base at a height of $$20$$ $$m$$ above the ground. The velocity attained by the ball is
A
$$20$$ $$m/s$$
B
$$40$$ $$m/s$$
C
$$10\sqrt {30} \,\,\,m/s$$
D
$$10\,\,m/s$$
4
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
The upper half of an inclined plane with inclination $$\phi $$ is perfectly smooth while the lower half is rough. A body starting from rest at the top will again come to rest at the bottom if the coefficient of friction for the lower half is given by
A
$$2\,\cos \,\,\phi $$
B
$$2\,sin\,\,\phi $$
C
$$\,\tan \,\,\phi $$
D
$$2\,\tan \,\,\phi $$
JEE Main Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12