1
IIT-JEE 2001 Screening
MCQ (Single Correct Answer)
+2
-0.5
A particle executes simple harmonic motion between x = - A to x = + A. The time taken for it to go from 0 to $${A \over 2}$$ is T1 and to go from $${A \over 2}$$ to A is T2. Then
A
T1 < T2
B
T1 > T2
C
T1 = T2
D
T1 = 2T2
2
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
The period of oscillation of a simple pendulum of length $$L$$ suspended from the roof of a vehicle which moves without friction down an inclined plane of inclination $$\alpha$$, is given by
A
$$2\pi \sqrt {{L \over {g\cos \alpha }}} $$
B
$$2\pi \sqrt {{L \over {g\sin \alpha }}} $$
C
$$2\pi \sqrt {{L \over g}} $$
D
$$2\pi \sqrt {{L \over {g\tan \alpha }}} $$
3
IIT-JEE 1999 Screening
MCQ (Single Correct Answer)
+2
-0.5
A particle free to move along the x-axis has potential energy given by $$U\left( x \right) = k\left[ {1 - \exp \left( { - {x^2}} \right)} \right]$$ for $$ - \infty \le x \le - \infty $$, where k is a positive constant of appropriate dimensions. Then
A
at points away from the origin, the particle is in unstable equilibrium
B
for any finite nonzero value of x, there is a force directed away from the origin
C
if its total mechanical energy is $${k \over 2}$$, it has its minimum kinetic energy at the origin
D
for small displacement from x = 0, the motion is simple harmonic
4
IIT-JEE 1988
MCQ (Single Correct Answer)
+1
-0.25
Two bodies M and N of equal masses are suspended from two separate massless springs of spring constant k1 and k2 respectively. If the two bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude of vibration of M to that of N is
A
$${{{k_1}} \over {{k_2}}}$$
B
$$\sqrt {{{{k_1}} \over {{k_2}}}} $$
C
$${{{k_2}} \over {{k_1}}}$$
D
$$\sqrt {{{{k_2}} \over {{k_1}}}} $$
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