    Question

# When a narrow resonance column apparatus is filled with ozone gas (γ=4/3), it resonates in 1st resonance with a tuning fork. When it is filled with nitrogen gas N2, it resonates with the same tuning fork in 1st resonance when water column is shifted down by 10 cm. Neglect end correction and take √5=2.25.

A
Wavelength of sound in ozone is approximately 1 m
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Wavelength of sound in nitrogen is approximately 1.6 m
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
For second resonance in ozone gas, the water column should be shifted by 60 cm
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
For second resonance in nitrogen gas, the water column should be shifted by 80 cm
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct options are B Wavelength of sound in nitrogen is approximately 1.6 m C For second resonance in ozone gas, the water column should be shifted by 60 cm D For second resonance in nitrogen gas, the water column should be shifted by 80 cmFundamental frequency of an air column closed at one end For ozone : n1O3=VO34L=14L√γO3RTMO3 For nitrogen : n1N2=VN24(L+10)=14(L+10)√γN2RTMN2  n103n1N2=L+10L√4×5×283×7×48 ⇒L+10L=32.25⇒2.25L+22.5=3L ⇒0.75L=22.5 ⇒L=22.50.75=30 cm a) Wavelength of sound in O3 λ03=4L=1.2 m b) Wavelength of sound in N2 λN2=4(L+10)= 1.6 m c) L1= 30 cm ⇒ Length of water column for second resonance L2=3L1=90 cm⇒L2−L1=60 cm (ForO3) d) L1=40 cm ⇒ Length of water column for second resonance L2=3L1=120 cm⇒L2−L1=80 cm(ForN2)  Suggest Corrections  0      Similar questions  Related Videos   What Sound Really Is
PHYSICS
Watch in App  Explore more