Stationary Waves Questions: Paper - 04   More Physics Questions
 

1.

Beats are produced by two waves

y1 = a sin 2000 pt and y2 = a sin 2008 pt. the number of beats heard per second is (C.P.M.T-90)

(a) Zero

(b) One

(c) Four

(d) Eight

Answer: (c)

2.

A uniform string of length L, mass M is fixed at both ends under tension T. then it can vibrate with frequencies given by n is the formula:

(CPMT 72, MNR 80)

(a)

(b)

(c)

(d)

Answer: (a)

3.

The equation of stationary wave is given by

(C.P.M.T-82)

(a) y = 2 yo sin k x cos wt         

(b) y = yo sin k (x - nt)

(c)                     

(d)

Answer: (a)

4.

In a long cylindrical tube, the eater level is adjusted and the air column above it is made to vibrate in unison with a vibrating tuning fork kept at the open end. Maximum sound is heard when the air column lengths are equal to (CPMT 74)

(a)

(b)

(c)

(d)

Answer: (d)

5.

The fundamental frequency of a sting stretched with a weight of 4 kg is 256 Hz. The weight required to produce its octave is (PMT 88 MP)

(a) 4 kg wt

(b) 12 kg wt

(c) 16 kg wt

(d) 24 kg wt

Answer: (c)

6.

A stretched wire of 60 cm vibrates with a fundamental note of frequency 256 Hz. If the length of the wire is decreased to 15 cm while the tension in kept constant. The fundamental frequency of the wire will be

(NCERT 84)

(a) 64 Hz

(b) 256 Hz

(c) 512 Hz

(d) 1024 Hz

Answer: (d)

7.

The linear density of a vibrating string is 1.3 ´ 10-4 kg/m3. A transverse wave is propagating on the string and is described by the equation Y = 0.021 sin (x + 30t) where x and y are measured in meters and t in seconds. The tension in the wire is (NCERT 82)

(a) 0.12 N

(b) 0.48 N

(c) 1.20 N

(d) 4.80 N

Answer: (a)

8.

An organ pipe P1 closed at one vibrating in its first harmonic and another pipe P2 open at both ends vibrating in its third harmonic are in resonance with a given tuning fork. Ratio of the length of P1 that of P2 is

(I.I.T. 88) 

(a)

(b)

(c)

(d)

Answer: (b)

9.

A closed organ pipe and an open organ pipe have their first overtones identical in frequency. Their lengths are in the ratio of (PMT, MP 87, CPMT 92)

(a) 1: 2

(b) 2: 3

(c) 3: 4

(d) 4: 5

Answer: (c)

10.

In an open end organ pipe of length l, if the velocity of sound is n then the fundamental frequency will be

(CPMT 90)

(a) and all harmonics are present                   

(b)  and all harmonics are present

(c)  and all harmonics are     absent    

(d)  and all harmonics are absent

Answer: (a)

11.

A closed organ pipe (closed at one end) is excited so as to support the third overtone. It is then found that there are in the pipe (PMT MP 91)

(a) Three nodes and three antinodes                  

(b) Three nodes and four antinodes

(c) Four nodes and three antinodes                     

(d) Four nodes and four antinodes

Answer: (d)

12.

In a sonometer wire, the produced waves are

(CPMT 78)

(a) Longitudinal             

(b) Transverse, stationary and unpolarised

(c) Transverse, stationary and polarised              

(d) Transverse, progressive and polarised

Answer: (c)

13.

A standing wave having 3 nodes and 2 antinodes is found between two atoms having a distance of 1.2A°. between them the wavelength of standing wave will be

(MHT CET 2002)

(a) 3.63 A°

(b) 6.05 A°

(c) 1.21 A°

(d) 2.42 A°

Answer: (c)

14.

In a pipe open at both ends distance between node and antinodes is (MHT CET 2003)

(a)

(b)

(c)

(d) None of these

Answer: (a)

15.

A sonometer wire of length l1 vibrates with a frequency 250 Hz. If the length of wire is increased then 2 beats per second are heard. What is ratio of the lengths of the wire? (MHT CET 2004)

(a) 124: 125

(b) 250: 313

(c) 5: 3

(d) 41: 57

Answer: (a)

16.

A and B are two metal tubes having equal lengths and equal inner diameters. For the tube A, both ends are open while for the tube B, one end is closed. What is the ratio of the fundamental frequencies of A and B?

(a) 1:2

(b) 2:1

(c) 1:4

(d) 4:1

Answer: (b)

17.

A closed organ pipe is excited to produce the third overtone of the air column. It is found that the air in the pipe has

(a) Three nodes and three antinodes                  

(b) Three nodes and four antinodes

(c) Four nodes and four antinodes                      

(d) Four nodes and three antinodes

Answer: (c)

18.

In a stationary wave, the strain is maximum at the (P.M.T-87.M.P)

(a) Nodes                     

(b) Antinodes

(c) Between the node and the antinodes              

(d) Between any two nodes and antinodes

Answer: (a)

19.

A sonometer string and a tuning fork when sounded together gives 6 beats/sec, whether the length of sonometer string is 85 cm or 100 cm. the frequency of tuning fork is (PMT MP 90)

(a) 262 Hz

(b) 256 Hz

(c) 260 Hz

(d) 234 Hz

Answer: (d)

20.

A pipe of length L and open at both ends produced a note of fundamental frequency f1. When the pipe is kept with of its length in water, it produces a note of fundamental frequency f2. the ratio is

(a) 1:1

(b) 1:2

(c) 2:1

(d) 3:2

Answer: (c)

21.

The frequency of fundamental note in a closed pipe (length l, speed of sound n) is (CPMT 93)

(a)

(b)

(c)

(d)

Answer: (b)

22.

A tuning fork of frequency 480 Hz produces 10 beats per second when sounded with a vibrating sonometer wire. What must have been the frequency of string if a slight increase in tension produces fewer beats per second than before (PMT 92, NCERT 84)

(a) 460 Hz

(b) 470 Hz

(c) 480 Hz

(d) 490 Hz

Answer: (b)

23.

If frequency of vibration of string is increased by a factor two, then tension in string will be (CPMT 79)

(a) Half

(b) Double

(c) One fourth

(d) Four times

Answer: (d)

24.

The frequency of vibration of a string cab be increased by (CPMT 72)

(a) Increasing the length of the string keeping the tension constant

(b) Decreasing the density of the string keeping the tension constant

(c) Increasing the thickness of the string keeping the length constant

(d) Decreasing the tension of the string keeping length constant

Answer: (b)

25.

An air column in a pipe, which is closed at one end, will be in resonance with a vibrating tuning fork of frequency 264 Hz if the length of the column in cm is

(I.I.T 85)

(a) 31.25

(b) 62.50

(c) 93.75

(d) Both (a) & (c)

Answer: (d)