A musical instrument is made using four different metal strings, 1, 2, 3 and 4 with mass per unit length $$\mu $$, 2$$\mu $$, 3$$\mu $$ and 4$$\mu $$ respectively. The instrument is played by vibrating the strings by varying the free length in between the range L0 and 2L0. It is found that in string-1$$\mu $$ at free length L0 and tension T0 the fundamental mode frequency is f0.
List-I gives the above four strings while list-II lists the magnitude of some quantity.
If the tension in each string is T0, the correct match for the highest fundamental frequency in f0 units will be
A
I $$ \to $$ P, II $$ \to $$ Q, III $$ \to $$ T, IV $$ \to $$ S
B
I $$ \to $$ P, II $$ \to $$ R, III $$ \to $$ S, IV $$ \to $$ Q
C
I $$ \to $$ Q, II $$ \to $$ S, III $$ \to $$ R, IV $$ \to $$ P
D
I $$ \to $$ Q, II $$ \to $$ P, III $$ \to $$ R, IV $$ \to $$ T
2
JEE Advanced 2019 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
A musical instrument is made using four different metal strings, 1, 2, 3 and 4 with mass per unit length $$\mu $$, 2$$\mu $$, 3$$\mu $$ and 4$$\mu $$ respectively. The instrument is played by vibrating the strings by varying the free length in between the range L0 and 2L0. It is found that in string-1$$\mu $$ at free length L0 and tension T0 the fundamental mode frequency is f0.
List-I gives the above four strings while list-II lists the magnitude of some quantity.
The length of the strings 1, 2, 3 and 4 are kept fixed at L0, $${{3{L_0}} \over 2}$$, $${{5{L_0}} \over 4}$$ and $${{7{L_0}} \over 4}$$ respectively. Strings 1, 2, 3 and 4 are vibrated at their 1st, 3rd, 5th and 14th harmonies, respectively such that all the strings have same frequency.
The correct match for the tension in the four strings in the units of T0 will be
A
I $$ \to $$ P, II $$ \to $$ R, III $$ \to $$ T, IV $$ \to $$ U
B
I $$ \to $$ P, II $$ \to $$ Q, III $$ \to $$ R, IV $$ \to $$ T
C
I $$ \to $$ P, II $$ \to $$ Q, III $$ \to $$ T, IV $$ \to $$ U
D
I $$ \to $$ T, II $$ \to $$ Q, III $$ \to $$ R, IV $$ \to $$ U
3
IIT-JEE 2012 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0.75
A student is performing the experiment of resonance Column. The diameter of the column tube is
4 cm. The frequency of the tuning fork is 512 Hz. The air temperature is 38oC in which the speed
of sound is 336 m/s. The zero of the meter scale coincides with the top end of the Resonance
Column tube. When the first resonance occurs, the reading of the water level in the column is
A
14.0 cm
B
15.2 cm
C
16.4 cm
D
17.6 cm
4
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
