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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
Doppler effect is not applicable when _______.
(A) source and observer are at rest.
(B) there is a relative motion between source and observer.
(C) both are moving in opposite directions.
(D) both are moving in same direction with different velocities
Concept: Beats
The working of RADAR is based on ...............
a) resonance
b) speed of a star
c) Doppler effect
d) speed of rotation of sun
Concept: Beats
If two capillary tubes of different diameters are partially dipped in the same liquid vertically, then the rise of liquid ______.
Concept: Capillarity and Capillary Action
A sonometer wire vibrates with three nodes and two antinodes, the corresponding mode of vibration is ...................
a) First overtone
b) Second overtone
c) Third overtane
d) Fourth overtone
Concept: Free and Forced Vibrations
Draw a neat labelled diagram of rise of liquid in capillary tube showing different components of tension (force).
Concept: Capillarity and Capillary Action
A tube open at both ends has length 47 em. Calculate the fundamental frequency of air column. (Neglect end correction. Speed of sound in air is 3.3 x 102m/s}
Concept: Study of Vibrations of Air Columns
The total free surface energy of a liquid drop is `pisqrt2` times the surface tension of the liquid. Calculate the diameter of the drop in S.l. unit.
Concept: Surface Tension
Draw neat labelled diagrams for modes of vibration of an air column in a pipe when it is closed at one end.
Hence derive an expression for fundamental frequency in each case.
Concept: Study of Vibrations of Air Columns
