1
IIT-JEE 2011 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-0.75
A police car with a siren of frequency 8 kHz is moving with uniform velocity 36 km/hr towards a tall building which reflects the sound waves. The speed of sound in air is 320 m/s. The frequency of the siren heard by the car driver is
A
8.50 kHz
B
8.25 kHz
C
7.75 kHz
D
7.50 kHz
2
IIT-JEE 2011 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

Column I shows four systems, each of the same length L, for producing standing waves. The lowest possible natural frequency of a system is called its fundamental frequency, whose wavelength is denoted as $$\lambda$$f. Match each system with statements given in Column II describing the nature and wavelength of the standing waves :

A
(A)$$\to$$(T); (B)$$\to$$(P), (S); (C)$$\to$$(Q), (S); (D)$$\to$$(Q)
B
(A)$$\to$$(P), (T); (B)$$\to$$(P); (C)$$\to$$(Q), (S); (D)$$\to$$(Q)
C
(A)$$\to$$(P); (B)$$\to$$(P), (S); (C)$$\to$$(Q); (D)$$\to$$(Q), (R)
D
(A)$$\to$$(P), (T); (B)$$\to$$(P), (S); (C)$$\to$$(Q), (S); (D)$$\to$$(Q), (R)
3
IIT-JEE 2010 Paper 2 Offline
MCQ (Single Correct Answer)
+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
4
IIT-JEE 2008 Paper 2 Offline
MCQ (Single Correct Answer)
+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
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