Q- A rod of length L caused to move at a constant speed v along horizontal conducting rails. The magnetic field B is not constant, but is supplied by a long wire parallel to the conducting rails. This wire is a distance a from the rail and has a current i. If L = 3.18 cm, v = 4.61 m/s, a = 10.8 mm…
Solution Search
. August 2017
Simple Harmonic Motion
Q- A block is suspended by a vertical spring of constant 1800 N/m and makes 5.5 oscillations per second.
(a) Find the mass of the block.
(b) What is elongations in the spring if the block is at rest in equilibrium?
(c) If the block is pulled down by 2.5 cm from equilibrium position and released, …
Ray Optics: Refraction Through Prism
Q- A beam of white light is incident on a glass prism at an angle of θ = 370 with the normal to the surface. The emergent angle for red light is φr = 750 and for violet light is φv = 790.
(a) If the angle of the prism is A = 450, find the refractive index of the glass for red and violet light.
…Magnetic Effects: Force on a Charged Particle
Q- A charged particle with initial velocity v0 = 3 × 106 m/s in the positive x-direction enters a region of depth d1 = 1.1 m that has a uniform magnetic field B = 0.011 T in the positive z-direction (out of the page). The magnetic field is zero elsewhere. The particle leaves the magnetic field regi…
Waves
Q- Earthquakes are essentially sound waves traveling through the earth. They are called seismic waves. Because the earth is solid, it can support both longitudinal and transverse seismic waves. These travel at different speeds. The speed of longitudinal waves, called P waves, is 8000 m/s. Transverse…
Magnetic Effects: Force on a loop
Q- At t=0, a rectangular coil of resistance R = 2 ohms and dimensions w = 3 cm and L = 8 cm enters a region of constant magnetic field B = 1.6 T, directed into the screen as shown. The length of the region containing the magnetic field is LB = 15 cm. The coil is observed to move at constant velocity…
Simple Harmonic Motion
Q- A particle M executes simple harmonic motion along x axis. The reference particle for this SHM moves on a circular path of radius R = 40 cm with a constant speed of 80 cm/s.
(a) Find the angular frequency, frequency and the time period for this SHM.
(b) If at t = 0, the reference particle makes…
Circular Motion: Banking of Road
Q- A car travels around a flat curved road with constant speed.
(a) Draw Free body diagram for the car.
(b) What is direction of net force acting on the car?
(c) Is there a maximum speed to negotiate the curve? If so find an expression for it.
(d) If the road is banked, derived an expression for…
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