1
IIT-JEE 2007 Paper 2 Offline
MCQ (Single Correct Answer)
+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
2
IIT-JEE 2007 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

Two trains $$A$$ and $$B$$ are moving with speeds $$20 \mathrm{~m} / \mathrm{s}$$ and $$30 \mathrm{~m} / \mathrm{s}$$ respectively in the same direction on the same straight track, with $$B$$ ahead of $$A$$. The engines are at the front ends. The engines of train A blows a long whistle.

Assume that the sound of the whistle is composed of components varying in frequency from $$f_{1}=800 \mathrm{~Hz}$$ to $$f_{2}=1120 \mathrm{~Hz}$$, as shown in the figure. The spread in the frequency (highest frequency - lowest frequency) is thus $$320 \mathrm{~Hz}$$. The speed of sound in still air is $$340 \mathrm{~m} / \mathrm{s}$$.

The speed of sound of the whistle is

A
$$340 \mathrm{~m} / \mathrm{s}$$ for passengers in $$\mathrm{A}$$ and $$310 \mathrm{~m} / \mathrm{s}$$ for passengers in $$\mathrm{B}$$
B
$$360 \mathrm{~m} / \mathrm{s}$$ for passengers in $$\mathrm{A}$$ and $$310 \mathrm{~m} / \mathrm{s}$$ for passengers in $$\mathrm{B}$$
C
$$310 \mathrm{~m} / \mathrm{s}$$ for passengers in $$\mathrm{A}$$ and $$360 \mathrm{~m} / \mathrm{s}$$ for passengers in $$\mathrm{B}$$
D
$$340 \mathrm{~m} / \mathrm{s}$$ for passengers in both the trains
3
IIT-JEE 2007 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

Two trains $$A$$ and $$B$$ are moving with speeds $$20 \mathrm{~m} / \mathrm{s}$$ and $$30 \mathrm{~m} / \mathrm{s}$$ respectively in the same direction on the same straight track, with $$B$$ ahead of $$A$$. The engines are at the front ends. The engines of train A blows a long whistle.

Assume that the sound of the whistle is composed of components varying in frequency from $$f_{1}=800 \mathrm{~Hz}$$ to $$f_{2}=1120 \mathrm{~Hz}$$, as shown in the figure. The spread in the frequency (highest frequency - lowest frequency) is thus $$320 \mathrm{~Hz}$$. The speed of sound in still air is $$340 \mathrm{~m} / \mathrm{s}$$.

The distribution of the sound intensity of the whistle as observed by the passengers in train $$\mathrm{A}$$ is best represented by

A
B
C
D
4
IIT-JEE 2007 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

Two trains $$A$$ and $$B$$ are moving with speeds $$20 \mathrm{~m} / \mathrm{s}$$ and $$30 \mathrm{~m} / \mathrm{s}$$ respectively in the same direction on the same straight track, with $$B$$ ahead of $$A$$. The engines are at the front ends. The engines of train A blows a long whistle.

Assume that the sound of the whistle is composed of components varying in frequency from $$f_{1}=800 \mathrm{~Hz}$$ to $$f_{2}=1120 \mathrm{~Hz}$$, as shown in the figure. The spread in the frequency (highest frequency - lowest frequency) is thus $$320 \mathrm{~Hz}$$. The speed of sound in still air is $$340 \mathrm{~m} / \mathrm{s}$$.

The spread of frequency as observed by the passengers in train B is

A
310 Hz
B
330 Hz
C
350 Hz
D
290 Hz
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