The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is
9%
$\pi$
71%
$\pi/2$
15%
$.702 \pi$
6%
0
Q.2.
Assertion and Reason
(a) Statement I is true ,statement II is true ,statement II is correct explanation for statement I
(b) Statement I is true ,statement II is true ,statement II is not a correct explanation for statement I
(c) Statement I is true, Statement II is false
(d) Statement I is False, Statement II is True
STATEMENT 1:The quantity F.r where F is force and r is displacement is negative in SHM
STATEMENT 2:THe quantity a.r where a is acceleration and r is displacement is positive in SHM
24%
(a)
8%
(b)
52%
(c)
16%
(d)
Q.3.
Assertion and Reason
(a) Statement I is true ,statement II is true ,statement II is correct explanation for statement I
(b) Statement I is true ,statement II is true ,statement II is not a correct explanation for statement I
(c) Statement I is true, Statement II is false
(d) Statement I is False, Statement II is True
STATEMENT 1:Frequency of oscillation in Simple pendulum depends on Amplitude of oscillation
STATEMENT 2:Timeperiod of oscillation in simple pendulum is given by T=2π√L/g
14%
(a)
29%
(b)
10%
(c)
48%
(d)
Q.4.
Pendulum after some time becomes slow in motion and finally stops due to
12%
earth’s gravity
23%
mass of pendulum
50%
air friction
15%
None of these
Q.5.
The total energy of particle performing SHM depend on
42%
k, a, m
15%
k, a
38%
k, a, x
4%
k, x
Q.6.
Two spring of spring constant a and b are joined in series. The effective spring constant of the combination is given by
16%
$\sqrt {ab}$
48%
$\frac {ab}{a+b}$
16%
$a +b$
20%
$\frac {a+b}[2}$
Q.7.
Motion of an oscillating liquid column in a U-tube is
18%
simple harmonic and time-period is directly proportional to the density of the liquid.
18%
periodic but not simple harmonic.
18%
periodic but not simple harmonic.
45%
simple harmonic and time period is independent of the density of the liquid
Q.8.
Total energy of mass spring system in harmonic motion is E=1/2(mω2A2). Consider another system executing SHM with same amplitude having value of spring constant as half the previous one and mass twice as that of previous one. The energy of second oscillator will be
14%
E
14%
2E
33%
$\sqrt {2} E$
38%
E/2
Q.9.
A particle under the action of a SHM has a period of 3 seconds and under the effect of another it has a period 4 seconds. What will be its period under the combined action of both the SHM’s in the same direction?
40%
7 seconds
10%
1 sec
5%
5 sec
45%
2.4 sec
Q.10.
Angular frequency of system executing SHM depends on
a. mass
b. total energy
c. Force constant
d. Amplitude
39%
Both (a) and (c)
11%
(a) only
44%
Both (a) and (d)
6%
(b) only
Q.11.
Four statement are made about SHM
(i) Maximum value of velocity in SHM is A2ω
(ii) In SHM velocity of the particle is maximum when displacement is maximum
(iii) Velocity of the particle is zero in SHM when displacement attains its maximum on either side
(iv) Velocity in SHM vary periodically with time
Which of these is correct?
35%
(i) and (iv) only
53%
(iii) and (iv) only
6%
(i) and (iii) only
6%
All correct
Q.12.
A spring of force constant k is cut into two pieces such that one piece is four times the length of the other. the longer piece will have force constant equal to
18%
4k/5
35%
5k/4
24%
3k/2
24%
4k
Q.13.
A particle of mass m is attached to a massless string of length L and is oscillating in vertical plane with one end of string fixed to rigid support. Tension in the string at a certain instant is T=kmg.Then
23%
K can never be equal to 1
31%
K can never be greater than 1
38%
K can never be greater than 3
8%
K can never be less than 1
Q.14.
Assertion and Reason
(a) Statement I is true ,statement II is true ,statement II is correct explanation for statement I
(b) Statement I is true ,statement II is true ,statement II is not a correct explanation for statement I
(c) Statement I is true, Statement II is false
(d) Statement I is False, Statement II is True
STATEMENT 1:The amplitude or energy is defined by the initial position and initial velocity in SHM
STATEMENT 2:THe phase of motion is determined by the initial position and initial velocity in SHM
15%
(a)
38%
(b)
46%
(c)
0%
(d)
Q.15.
A block is resting on a piston, which is moving vertically with SHM of period 10 seconds. At what amplitude of motion will the block and piston separate?
7%
.2 m
29%
0.35 m
29%
0.45 m
36%
0.25 m
Q.16.
The displacement of a particle is represented by the equation
$y = 3 cos ( \frac {\pi}{4} -2 \omega t)$
The motion of the particle is
36%
simple harmonic with period $\frac {2 \pi}{\omega}$
14%
periodic but not simple harmonic.
36%
non-periodic.
14%
simple harmonic with period $\frac { \pi}{\omega}$
Q.17.
Two SHM’s are respectively represented by $y = a sin( \omega t - kx)$ and $y = bcos (\omega t − kx)$.The phase difference
between the two is
15%
$\frac {\pi}{4}$
38%
$\frac {3\pi}{4}$
46%
$\frac {\pi}{2}$
0%
$\frac {\pi}{6}$
Q.18.
The amplitude and phase of a particle executing SHM depends on
31%
The displacement of particle at t=0
15%
The velocity of particle at t=0
23%
Both Velocity and displacement at t=0
31%
Neither velocity and displacement at t=0
Q.19.
Assertion and Reason
(a) Statement I is true ,statement II is true ,statement II is correct explanation for statement I
(b) Statement I is true ,statement II is true ,statement II is not a correct explanation for statement I
(c) Statement I is true, Statement II is false
(d) Statement I is False, Statement II is True
STATEMENT 1:Total energy remains constant in SHM
STATEMENT 2:KE is maximum at mean position
18%
(a)
45%
(b)
18%
(c)
18%
(d)
Q.20.
A particle is executing SHM at midpoint of mean position and extreme position . What is it's KE in terms of total energy E.
23%
E/2
23%
4E/3
31%
$\sqrt {2}E$
23%
3E/4
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