Best notes of Physics

ONLY ONE OPTION IS CORRECT.
Take approx. 2 minutes for answering each question.

Q.1 A simple harmonic motion having an amplitude A and time period T is represented by the equation :
y = 5 sin (t + 4) m
Then the values of A (in m) and T (in sec) are :
(A) A = 5; T = 2 (B) A = 10 ; T = 1 (C) A = 5 ; T = 1 (D) A = 10 ; T = 2

Q.2 The displacement of a body executing SHM is given by x = A sin (2t + /3). The first time from t = 0
when the velocity is maximum is
(A) 0.33 sec (B) 0.16 sec (C) 0.25 sec (D) 0.5 sec
Q.3 The maximum acceleration of a particle in SHM is made two times keeping the maximum speed to be
constant. It is possible when
(A) amplitude of oscillation is doubled while frequency remains constant
(B) amplitude is doubled while frequency is halved
(C) frequency is doubled while amplitude is halved
(D) frequency is doubled while amplitude remains constant

Q.4 The potential energy of a simple harmonic oscillator of mass 2 kg in its mean position is 5 J. If its total
energy is 9J and its amplitude is 0.01 m, its time period would be
(A) /10 sec (B) /20 sec (C) /50 sec (D) /100 sec

Q.5 A plank with a small block on top of it is under going vertical SHM. Its period is 2 sec. The minimum
amplitude at which the block will separate from plank is :
10 2 20 
(A) 2 (B) (C) 2 (D)
 10  10

Q.6 Time period of a particle executing SHM is 8 sec. At t = 0 it is at the mean position. The ratio of the
distance covered by the particle in the 1st second to the 2nd second is :
1 1
(A) (B) 2 (C) (D) 2  1
2 1 2


d2y
Q.7 The angular frequency of motion whose equation is 4  + 9y = 0 is (y = displacement and t = time)
dt
9 4 3 2
(A) (B) (C) (D)
4 9 2 3
Q.8 Two particles are in SHM in a straight line about same equilibrium position. Amplitude A and time period
T of both the particles are equal. At time t=0, one particle is at displacement y1= +A and the other at
y2= –A/2, and they are approaching towards each other. After what time they cross each other ?
(A) T/3 (B) T/4 (C) 5T/6 (D) T/6
Q.9 Two particles execute SHM of same amplitude of 20 cm with same period along the same line about the
same equilibrium position. The maximum distance between the two is 20 cm. Their phase difference in
radians is
2   
(A) (B) (C) (D)
3 2 3 4

, Q.10 Two particles P and Q describe simple harmonic motions of same period, same amplitude, along the
same line about the same equilibrium position O. When P and Q are on opposite sides of O at the same
distance from O they have the same speed of 1.2 m/s in the same direction, when their displacements are
the same they have the same speed of 1.6 m/s in opposite directions. The maximum velocity in m/s of
either particle is
(A) 2.8 (B) 2.5 (C) 2.4 (D) 2
Q.11 A particle performs SHM with a period T and amplitude a. The mean velocity of the particle over the
time interval during which it travels a distance a/2 from the extreme position is
(A) a/T (B) 2a/T (C) 3a/T (D) a/2T

Q.12 A body performs simple harmonic oscillations along the straight line ABCDE with C as the midpoint of
AE. Its kinetic energies at B and D are each one fourth of its maximum value. If AE = 2R, the distance
between B and D is
3R R
(A) (B) (C) 3R (D) 2 R
2 2

Q.13 A graph of the square of the velocity against the square of the acceleration of a given simple harmonic
motion is



(A) (B) (C) (D)


Question No. 14 to 16 (3 questions)
The graphs in figure show that a quantity y varies with displacement d in a system undergoing simple
harmonic motion.




(I) (II) (III) (IV)
Which graphs best represents the relationship obtained when y is
Q.14 The total energy of the system
(A) I (B) II (C) III (D) IV
Q.15 The time
(A) I (B) II (C) III (D) IV
Q.16 The unbalanced force acting on the system.
(A) I (B) II (C) III (D) None

Q.17 A small mass executes linear SHM about O with amplitude a and period T. Its displacement from O at
time T/8 after passing through O is:
(A) a/8 (B) a/22 (C) a/2 (D) a/2