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Water rises to a height 3.2 cm in a glass capillary tube. Find the height to which the same water will rise in another glass capillary having half area of cross section.
Concept: Surface Tension
In which of the following substances, surface tension increases with increase in temperature ?
- Copper
- Molten copper
- Iron
- Molten iron
Concept: Surface Tension
The value of end correction for an open organ pipe of radius 'r' is .........................
A) 0.3 r
B) 0.6 r
C) 0.9 r
D) 1.2 r
Concept: Study of Vibrations of Air Columns
Distinguish between forced vibrations and resonance.
Concept: Free and Forced Vibrations
'n' droplets of equal size of radius r coalesce to form a bigger drop of radius R. The energy liberated is equal to...................
(T =Surface tension of water)
`(a) 4piR^2T[n^(1/3)-1]`
`(b) 4pir^2T[n^(1/3)-1]`
`(c) 4piR^2T[n^(2/3)-1]`
`(d)4 pir^2T[n^(2/3)-1]`
Concept: Surface Tension
The surface tension of water at 0ºc is 75·5 dyne/cm. Find surface tension of water at 25°C. [ α for water = 0·0021/°C ]
Concept: Surface Tension
With a neat labelled diagram, show that all harmonics are present in an air column contained in a pipe open at both the ends. Define end correction.
Concept: Study of Vibrations of Air Columns
Explain the rise of liquid in the capillary on the basis of pressure difference.
Concept: Capillarity and Capillary Action
A pipe which is open at both ends is 47 cm long and has an inner diameter 5 cm. If the speed of sound in air is 348 m/s, calculate the fundamental frequency of air column in that pipe.
Concept: Study of Vibrations of Air Columns
Calculate the density of paraffin oil, if glass capillary of diameter 0.25 mm dipped in paraffin oil of surface tension 0.0245 N/m rises to a height of 4 cm. (Angle of contact of paraffin with glass = 28° and acceleration due to gravity = 9.8 m/s2.)
Concept: Capillarity and Capillary Action
A pipe open at both ends resonates to a frequency ‘n1’ and a pipe closed at one end resonates to a frequency ‘n2’. If they are joined to form a pipe closed at one end, then the fundamental frequency will be ______.
(A) `(n_1n_2)/(2n_2+n_1)`
(B) `(2n_2n_1)/(2n_2+n_1)`
(C) `(2n_2n_1)/(n_1+n_2)`
(D) `(n_2+2n_1)/(n_1n_2)`
Concept: Study of Vibrations of Air Columns
Draw a neat, labelled diagram for a liquid surface in contact with a solid, when the angle of contact is acute.
Concept: Capillarity and Capillary Action
The total energy of free surface of a liquid drop is 2π times the surface tension of the liquid. What is the diameter of the drop? (Assume all terms in SI unit).
Concept: Surface Tension
Two sound notes have wavelengths 83/170 m and 83/172 m in the air. These notes when sounded together produce 8 beats per second. Calculate the velocity of sound in the air and frequencies of the two notes.
Concept: Study of Vibrations of Air Columns
In Doppler effect of light, the term “red shift” is used for ______.
(A) frequency increase
(B) frequency decrease
(C) wavelength decrease
(D) frequency and wavelength increase
Concept: Beats
Two soap bubbles have radii in the ratio 4:3. What is the ratio of work done to blow these bubbles?
Concept: Capillarity and Capillary Action
Define surface tension and surface energy.
Concept: Surface Tension
State the cause of end correction.
Concept: Study of Vibrations of Air Columns
Find the end correction for the pipe open at both the ends in fundamental mode.
Concept: Study of Vibrations of Air Columns
