1
IIT-JEE 2009 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2

A student performed the experiment to measure the speed of sound in air using resonance air-column method. Two resonances in the air-column were obtained by lowering the water level. The resonance with the shorter air-column is the first resonance and that with the longer air-column is the second resonance. Then,

A
the intensity of the sound heard at the first resonance was more than that at the second resonance.
B
the prongs of the tuning fork were kept in a horizontal plane above the resonance tube.
C
the amplitude of vibration of the ends of the prongs is typically around 1 cm.
D
the length of the air-column at the first resonance was somewhat shorter than 1/4th of the wavelength of the sound in air.
2
IIT-JEE 2006
MCQ (More than One Correct Answer)
+3
-1

Function $x=\mathrm{A} \sin ^2 \omega t+\mathrm{B} \cos ^2 \omega t+\mathrm{C} \sin \omega t \cos \omega t$ represents SHM

A

for any value ol $\mathrm{A}, \mathrm{B}$ and C (except $\mathrm{C}=0$ ).

B

if $\mathrm{A}=-\mathrm{B} ; \mathrm{C}=2 \mathrm{~B}$, amplitude $=|\mathrm{B} \sqrt{2}|$.

C

if $\mathrm{A}=\mathrm{B} ; \mathrm{C}=0$.

D

if $\mathrm{A}=\mathrm{B} ; \mathrm{C}=2 \mathrm{~B}$, amplitude $=|\mathrm{B}|$

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