1
IIT-JEE 2010 Paper 2 Offline
+5
-1.25
A hollow pipe of length 0.8 m is closed at one end. At its open end a 0.5 m long uniform string is vibrating in its second harmonic and it resonates with the fundamental frequency of the pipe. If the tension in the wire is 50 N and the speed of sound is 320 ms−1, the mass of the string is
A
5 grams
B
10 grams
C
20 grams
D
40 grams
2
IIT-JEE 2008 Paper 2 Offline
+3
-1

A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of 10 cm/s. The wavelength of the waves is 0.5 m and its amplitude is 10 cm. At a particular time t, the snap-shot of the wave is shown in figure. The velocity of point P when its displacement is 5 cm is :

A
$${{\sqrt {3\pi } } \over {50}}\widehat j$$ m/s
B
$$- {{\sqrt {3\pi } } \over {50}}\widehat j$$ m/s
C
$${{\sqrt {3\pi } } \over {50}}\widehat i$$ m/s
D
$$- {{\sqrt {3\pi } } \over {50}}\widehat i$$ m/s
3
IIT-JEE 2008 Paper 2 Offline
+3
-1

A vibrating string of certain length 1 under a tension T resonates with a mode corresponding to the first overtone (third harmonic) of an air column of length 75 cm inside a tube closed at one end. The string also generates 4 beats per second when excited along with a tuning fork of frequency n. Now when the tension of the string is slightly increased the number of beats reduces to 2 per second. Assuming the velocity of sound in air to be 340 m/s, the frequency n of the tuning fork in Hz is:

A
344
B
336
C
117.3
D
109.3
4
IIT-JEE 2007 Paper 2 Offline
+3
-1

In the experiment to determine the speed of sound using a resonance column,

A
prongs of the tuning fork are kept in a vertical plane
B
prongs of the tuning fork are kept in a horizontal plane
C
in one of the two resonances observed, the length of the resonating air column is close to the wavelength of sound in air
D
in one of the two resonances observed, the length of the resonating air column is close to half of the wavelength of sound in air
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