1.
A simple pendulum 4 m long swings with an amplitude
of 0.2 m. What is its acceleration at the ends of its path?
(g 10 = m/s2)
(A) zero (B) 2 10 m / s2 (C) 2 0.5 m / s2 (D) 2 2.5 m /s2
2. For definite length of wire, if the weight used for
applying tension is immersed in water, then frequency
will
(A) become less (B) become more (C) remain equal
(D) become zero
3. A man on the platform is watching two trains, one
leaving and the other entering the station with equal
speed of 4 m/s. If they sound their whistles each of
natural frequency 240 Hz, the number of beats heard by
the man (velocity of sound in air = 320 m/s) will be
(A) 6 (B) 3 (C) 0 (D) 12
4. An open pipe is suddenly closed at one end with the
result that the frequency of third harmonic of the closed
pipe is found to be higher by 100 Hz than the
fundamental frequency of the open pipe. The
fundamental frequency of the open pipe is
(A) 200 Hz (B) 300 Hz (C) 240 Hz (D) 480 Hz
5. A spring is loaded with two blocks m1 and m2 where m1
is rigidly fixed with the spring and m2 is just kept on the
block m1 as shown in the figure. The maximum energy of
oscillation that is possible for the system having the
block m2 in contact with m1 is
6. The period of oscillation of a simple pendulum of length
suspended from the roof of a vehicle which moves
without friction down an inclined plane of inclination ,
is given by
7. One end of a spring of force constant k is fixed to a
vertical wall and the other to a block of mass m resting
on a smooth horizontal surface. There is another wall at
a distance x0 from the block. The spring is then
compressed by 2x0 and released. The time taken to
strike the wall is
8. A disc of radius R and mass M is pivoted at the rim and is
set for small oscillations. If simple pendulum has to have
the same period as that of the disc, the length of the
simple pendulum should be
(A) (5/4) R (B) (2/3) R (C) (3/4)R (D) (3/2) R
9. A uniform spring has a certain block suspended from it
and its period for vertical oscillation is T1. The spring is
now cut into two parts of lengths 1/3 rd and 2/3 rd of
original length and these springs are connected to the
same block as shown in the figure. If time period of
oscillation now is T2 then T1/T2 m
10. A simple pendulum with length L and mass m of the
bob is vibrating with an amplitude ‘a’. The tension in the
string at the lowest point is
11. A particle executes SHM with an amplitude of 20
cm and time period of 12 sec. The minimum time
required for it to move between two points 10 cm on
either side of the mean position
(A) 15 s (B) 2 s (C) 3 s (D) 4 s
12. A horizontal platform with an object placed on it is
executing SHM in the vertical direction. The amplitude
of oscillation is 2.5 cm. What must be the least period of
these oscillations so that the object is not detached –
(A) π sec (B) π/5 sec (C) π/10 sec (D) π/15 sec
13. The maximum velocity of a particle executing
simple harmonic motion with an amplitude 7mm, is
4.4m/s. Calculate the period of oscillation –
(A) 0.1 sec (B) 100 sec (C) 0.01 sec (D) 10 sec
14. A particle executes SHM of amplitude 5cm and
period 3s. The velocity of the particle at a distance 4 cm
from the mean position –
(A) 8 cm/s (B) 12 cm/s (C) 4 cm/s (D) 6 cm/s
15. A body of mass 5 gm is executing S.H.M about a
point with amplitude 10 cm. Its maximum velocity is 100
cm/s. Its velocity will be 50 cm/s at a distance –
(A) 5 (B) 5√2 (C) 5√3 (D) 10√2
16. The time period of a mass suspended from a spring
is 5s. The spring is cut into four equal parts and same
mass is now suspended from one of its parts. The period
is now.
(A) 5s (B) 2.5 s (C) 1.25 s (D) 5/16 s
17. A 5 kg mass bounces in simple harmonic motion at
the end of a spring. At which point the acceleration of
the mass is the greatest –
(A) When the spring is fully compressed and when the
spring is fully extended
(B) When the spring is at its rest length 17
(C) When the spring is halfway between its rest length
and is fully extended or compressed length
(D) The acceleration is constant
18. A particle is vibrating in simple harmonic motion
with an amplitude of 4 cm. At what displacement from
the equilibrium position is its energy half potential and
half kinetic ?
(A) 10 cm (B) √2cm (C) 2 cm (D) 2 √2cm
19. A simple pendulum 4 m long swings with an
amplitude of 0.2 m. What is its acceleration at the ends
of its path? (g 10 = m/s2)
(A) zero (B) 10 m/s2 (C) 0.5 m/s2 (D) 2.5m/s2
20. If the length of second pendulum is increased by
21%. How many oscillations it will lose per day
(A) 3927 (B) 3722 (C) 34273 (D) None of these
