1
AIPMT 2011 Prelims
MCQ (Single Correct Answer)
+4
-1
The instantaneous angular position of a point on a rotating wheel is given by the equation $$\theta \left( t \right) = 2{t^3} - 6{t^2}$$

The torque on the wheel becomes zero at
A
t = 1 s
B
t = 0.5 s
C
t = 0.25 s
D
t = 2 s
2
AIPMT 2011 Prelims
MCQ (Single Correct Answer)
+4
-1
Out of the following functions representing motion of a particle which represents SHM
(1)  y = sin$$\omega $$t $$-$$ cos$$\omega $$t
(2)  y = sin3$$\omega $$t
(3)  y = 5cos$$\left( {{{3\pi } \over 4} - 3\omega t} \right)$$
(4)  y = 1 + $$\omega $$t + $$\omega $$2t2
A
Only (1)
B
Only (4) does not represent SHM
C
Only (1) and (3)
D
Only (1) and (2)
3
AIPMT 2011 Prelims
MCQ (Single Correct Answer)
+4
-1
Two waves are represented by the equations
y1 = $$a$$sin($$\omega $$t + kx + 0.57) m and
y2 = acos($$\omega $$t + kx) m, where x is in meter and t $$in$$ sec. The phase difference between them is
A
1.0 radian
B
1.25 radian
C
1.57 radian
D
0.57 radian
4
AIPMT 2011 Prelims
MCQ (Single Correct Answer)
+4
-1
During an isothermal expansion, a confined ideal gas does $$-$$ 150 J of work against its surroundings. This implies that
A
150 J of heat has been removed from the gas
B
300 J of heat has been added to the gas
C
no heat is transferred because the process is isothermal
D
150 J of heat has been added to the gas