HEAT (PROBLEMS) Problem 11.1. i) The normal body temperature is 98.4 F. What is this temperature on Celsius scale? ii) At what temperature do the Fahrenheit and Celsius scales coincide. Problem 11.2. A steel rod has a length of exactly 0.2cm at 30°C. What w…
Continue ReadingProblem 10.14. A convex lens forms image of an object on a fixed screen 20 cm from the lens. On moving the lens 60 cm towards the object, the image is again formed on the screen. What is the focal length of the lens?
Continue ReadingProblem 10.13. A converging lens of 4 dioptres is combined with a diverging lens of −2 dioptres. Find the power and focal length of the combination?
Problem 10.12. A compound microscope has an objective with a focal length of 10 mm and a tube 100 mm long. An image is produced 250 mm from the eye piece when the object is 12 mm from the objective. What is the angular magnification?
Problem 10.11. A Galilean telescope has an objective of 120 mm focal length and an eye piece of 50 mm focal length. If the image seen by the eye is 300 mm from the eye piece, what is angular magnification?
Continue ReadingProblem 9.8. How far apart are the diffracting planes in a NaCl crystal for which X-rays of wavelength 1.54A make a glancing angle of 15° - 54' in the 1st order? Data Glancing angle 0= 15°54' =15+54/60 =15 .9° Wavelength 1.54Av=1. 54×10-¹⁰m M =1 To f…
Problem 9.5. Light of a wavelength 6 × 10^−7m falls normally on a diffraction grating with 400 lines per mm. At what angle to the normal are the 1st, 2nd and 3rd order spectra produced?
Problem 9.3. Interference fringes were produced by two slits 0.25 mm apart on a screen 150 mm from the slits. If eight fringes occupy 2.62 mm. What is the wavelength of the light producing the fringes?
Continue ReadingProblem 9.4. Green light of a wavelength 5400Ã… is diffracted by grating having 2000 line/cm. (a) Compute the angular deviation of the third order image. (b) Is a 10th order image possible?
Continue ReadingProblem 9.2. In a double slit experiment the separation of the slits is 1.9 mm and the fringe spacing is 0.31mm at a distance of 1 metre from the slits. Find the wavelength of light?
Problem 9.1. How many fringes will pass a reference point if the mirror of a Michelson's interferometer is moved by 0.08 mm. The wavelength of light used is 5800Ã…. Data Displacement of mirror x=0.08mm =0.08× 10-³m Wavelength of light speed =5800=5800×10-¹…
Continue ReadingProblem 8.10. A car has siren sounding a 2 kHz tone. What frequency will be detected as stationary observer as the car approaches him at 80 km/h? Speed of sound = 1200 km/h.
Problem 8.8. A 256 Hz tuning fork produces four beats per second when sounded with another fork of unknown frequency. What are two possible values for the unknown frequency?
Problem 8.7. The frequency of the second harmonic of an open pipe (open at both ends) is equal to the frequency of the second harmonic of a closed pipe (open at one end). (a) Find the ratio of the length of the closed pipe to the length of the open pipe.(b) I…
Problem 8.6. A sound wave propagating in air has a frequency of 4000 Hz. Calculate the percent change in wavelength when the wavefront, initially in a region where T = 27°C, enters a region where the air temperature decreases to 10°C.
Problem 8.4. A standing wave is established in a 120 cm long string fixed at both ends. The string vibrates in four segments when driven at 120 Hz (a) Determine the wavelength (b) What is the fundamental frequency?
Continue ReadingProblem 8.3. A pipe has a length of 2.46 m. (a) Determine the frequencies of the fundamental mode and the first two overtones if the pipe is open at both ends. Take v = 344 m/s as the speed of sound in air. (b) What are the frequencies determined in (a) if th…
Problem 8.2. A body hanging from a spring is set into motion and the period of oscillation is found to be 0.50 s. After the body has come to rest, it is removed. How much shorter will the spring be when it comes to rest?
Problem 8.1. An object is connected to one end of a horizontal spring whose other end is fixed. The object is pulled to the right (in the positive x-direction) by an externally applied force of magnitude 20 N causing the spring to stretch through a displaceme…
WAVE MOTION AND SOUND (PROBLEMS) Problem 8.1. An object is connected to one end of a horizontal spring whose other end is fixed. The object is pulled to the right (in the positive x-direction) by an externally applied force of magnitude 20 N causing the spr…