Waves and Refraction

1. The speed all electromagnetic waves in empty space is 3.00 x 10^8 m/s. Calculate the wavelength of electromagnetic waves emitted at the following frequencies: a. radio waves at 88.0 MHz b. visible light at 6.0 x 10^8 MHz 2. A tuning fork produces a sound with a frequency of 256 Hz and a wavelength in air of 1.35 m. a. What value does this give for the speed of sound in air? b. What would be the wavelength of the wave produced by this tuning fork in water in which sound travels at 1500 m/s? Please show the work done, formulas used and answers please. Thank you!

Waves

1. For each of the following cases, will light rays be bent toward or away from the normal? c. from the air to glass with an angle of incidence of 30 degrees. d. from glass to air with an angle of incidence of 30 degrees. 2. The smallest insects that a bat can detect are approximately the size of one wavelength of the sound the bat makes. What is the minimum frequency of sound waves required for the bat to detect an insect that is 0.57 cm long? (Assume the speed of sound is 340 m/s.) Please show the work done, formulas used and answers. Thank you!

Optics

1. Sherlock Holmes examines a clue by holding his magnifying glass (with a focal length of 15.0 cm) 10.0 cm away from an object. Find the image distance and the magnification. Describe the image that he observes. 2. Fill in the missing values in the following table. See attachment.

Calculation of force of interaction

Please help me solve this problem: two hydrophobic glass slides measuring 1 cm x 1 cm x 1 mm are floating on water with their sides parallel to each other. Estimate the force of interaction between the solids as a function of their separation distance. Assume that the intrinsic contact angle of the water is 110 degrees. What I mean by the intrinsic contact angle is that if you put a drop of water on the slides, the contact angle of the water against the slide would be 110 degrees. Thanks

Impulse

A 50 kg cart is moving across a frictionless floor at 2 m/s. A 70 kg boy, riding the cart, jumps off so that he hits the floor with zero velocity. What impulse did the boy give to the cart? What was teh velocity of hte cart after the boy jumped?