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State any two characteristics of the angle of contact
Concept: Surface Tension
A stretched wire emits a fundamental note of frequency 256 Hz. Keeping the stretching force constant and reducing the length of wire by 10 cm, the frequency becomes 320 Hz. Calculate the original length of wire.
Concept: Free and Forced Vibrations
State any four applications of Doppler effect
Concept: Beats
Calculate the work done in increasing the radius of a soap bubble in air from 1 cm to 2 cm. The surface tension of soap solution is 30 dyne/cm. (Π = 3.142).
Concept: Surface Tension
What is meant by harmonics?
Concept: Study of Vibrations of Air Columns
Show that only odd harmonics are present as overtones in the case of an air column vibrating in a pipe closed at one end.
Concept: Study of Vibrations of Air Columns
When a sparingly soluble substance like alcohol is dissolved in water, surface tension of water
Concept: Surface Tension
Obtain an expression for the rise of a liquid in a capillary tube.
Concept: Capillarity and Capillary Action
Show that even as well as odd harmonics are present as overtones in the case of an air column vibrating in a pipe open at both the ends.
Concept: Study of Vibrations of Air Columns
A wheel of moment of inertia 1 kg.m2 is rotating at a speed of 30 rad/s. Due to friction on the axis, it comes to rest in 10 minutes. Calculate the average torque of the friction.
Concept: Study of Vibrations of Air Columns
Choose the correct option:
A standing wave is produced on a string clamped at one end and free at the other. The length of the string ______.
Concept: Speed of Wave Motion
The energy stored in a soap bubble of diameter 6 cm and T = 0.04 N/m is nearly ______.
Concept: Surface Tension
Why is the surface tension of paints and lubricating oils kept low?
Concept: Surface Tension
How much amount of work is done in forming a soap bubble of radius r?
Concept: Surface Tension
Answer in brief:
State the characteristics of stationary waves.
Concept: Stationary Waves
Derive an expression for the equation of stationary wave on a stretched string.
Concept: Stationary Waves
Explain how vibrating strings can be verified using a sonometer.
Concept: Sonometer
A wave of frequency 500 Hz is traveling with a speed of 350 m/s. (a) What is the phase difference between two displacements at a certain point at times 1.0 ms apart? (b) what will be the smallest distance between two points which are 45° out of phase at an instant of time?
Concept: Speed of Wave Motion
A violin string vibrates with fundamental frequency of 440Hz. What are the frequencies of the first and second overtones?
Concept: Harmonics and Overtones
The string of a guitar is 80 cm long and has a fundamental frequency of 112 Hz. If a guitarist wishes to produce a frequency of 160 Hz, where should the person press the string?
Concept: The Speed of a Travelling Wave
