Q- Two particles executes SHM of same amplitude of 20 cm with same period along the same line and about same equilibrium position. If the maximum distance between them is 20 cm, find their phase difference.
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Work Done by Variable Force
Q- The force verses displacement graph for a variable force acting on a particle during some displacement is given bellow (the thick lines)
(a) Calculate the total work done by this force on the particle.
(b) Which well-known physical device could produce the type of force during the first 10 seco…
Standing Waves
Q- One of the 63.5 cm long strings of an ordinary guitar is tuned to produce the not B (frequency 245 Hz) when vibrating in its fundamental mode.
(a) find the speed of the transverse wave on this string.
(b) If the tension in the string is doubled, what will be the new fundamental frequency of the…
Rotational Motion
Q- A solid disk of mass M = 1.3 kg and radius R = 25 cm is free to rotate in a vertical plane about a horizontal axis going through its center. The disk is originally at rest. A piece of clay of mass m= 200 gm (consider particle) drops from 2.5 m above the center of the disk and sticks to its edge a…
Hydrogen (Like) Atom
Q- The first three energy levels of the fictitious element X are E1 = -3.8 eV, E2 = -1.7 eV, and E3 = -1.2 eV. Element X has one electron in the ground state.
(a) What is the ionization energy of element X?
(b) Calculate the (i) shortest and (ii) next-shortest wavelengths observed in the absorpti…
Ray Optics: Refraction
Q- An opaque container is 15 cm deep. It contains only a single coin. When looking into the container at a viewing angle of 50o relative to the vertical side of the container, you see nothing on the bottom. When the container is filled with water, you see the coin (from the same viewing angle) on th…
Newton's Laws: Friction
Q- A box of mass M placed on a table is connected to a hanging mass m by a string passing over a frictionless pulley as in the figure. If the box has mass of 1 kg, the coefficient of friction between the box and table surface is 0.3 and the box slides on the table at constant speed, what is the weig…
Sound: Intensity and Loudness
Q- A loudspeaker emits a power of 100 W and can be considered as appoint source. Find the sound intensity and sound level in dB at a distance of 10 m from the speaker. How close would you have to be to the speaker for the sound level to be at the threshold of pain (120 dB)? (The threshold of hearin…
Thermodynamics
Q- 15 kg of air in a piston cylinder device is heated inside the cylinder from 250C to 750C by passing current through a resistance heater inside the cylinder. The pressure inside the cylinder is kept constant at 2 bar during the process and the heat loss of 50 kJ occurs. Determine the electrical en…
Ray Optics
Q- A beam of light with red and blue components of wavelengths 670 nm and 425 nm, respectively, strikes a slab of fused quartz at an incident angle of 30o. On refraction, the different components are separated by an angle of 1.31 X 10-3 rad. If the index of refraction of the red light is 1.4925, wh…
SHM: Damped Oscillation
Q- A 1.5 kg piston supported on a helical spring vibrates freely with a natural frequency of 3Hz. When oscillating within an oil filled cylinder the frequency of free oscillation is reduced to 2.90Hz.
(a) Find the stiffness of the helical spring.
(b) Find the damping ratio when in the oil filled …
Sound: Resonance
Q- A closed end organ pipe is sounded near a guitar causing one of the strings to vibrate with large amplitude. The string is 80% as long as the organ pipe. If both vibrate at their fundamental frequency, calculate the ratio of the speed of wave on the string to the speed of sound in air.
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