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Q1. One reasonable design goal for an imaging system is to match the air disk diameter to the detector size. That insures that a significant fraction of energy in the PSF is collected by the detector. If operational constrains specify that the detector is 15 Um square and the optical focal length is 12 m, what is the required optical aperture diameter at a blue wavelength? At red wavelength. At an NIR wavelength? If one optical system is to meet the design goal at all three wavelengths. What aperture diameter must be used?
Q2. A pitcher throws a fastball horizontally at a speed of 150 km/h toward home plate, 18.4m away. If the batters combined reaction and swing times total 0.37s, how long can batter watch the ball after it has left the pitcher's hand before swinging? In travelling to the plate, how far does the ball drop from its unique horizontal line?
A parallel combination of a 1.27 uF capacitor and a 2.67 uF one is connected in series to a 4.85 uF capacitor. FInd the charge of each capacitor
A tennis player receives a shot with the ball of mass 0.058kg travelling horizontally at v=45 m/s and returns the shot with the ball travelling horizontally at 51 m/s in the opposite direction.
The position of a rocket sled on a straight track is given as x = a t3 + b t2 + c, What is the sled's average speed between t = 3.48 s and t = 6.92 s
A 1.20-kg block of wood sits at the edge of a table, 0.782 m above the floor. What horizontal distance does the block cover before hitting the ground
Find out the magnitude of the vertical component of the velocity
A uniform solid cylinder of mass M and radius R is at rest on a slab of mass m, which in turn rests on a horizontal, Find the angular acceleration of the cylinder in terms of F, M, R, and m
A new fabric is made to help athletes stay cool. It has a conductivity constant of 898.785 J/(s m K). what is the power of the materials thermal conductivity
How much energy is dissipated during the 5 minute interval.
A box of well called as breakfast cereal states that one small portion of the cereal contains 110 Calories (1 Cal = 4186 J). If 2.0 percent of this energy could be converted by a weight lifters body into work completed in lifting a barbell.
The rotor of an electric motor has rotational inertia Im = 5.12 x 10-3 kg·m2 about its central axis.Calculate the number of revolutions of the rotor required to turn the probe through 31.3° about its central axis
In a section of horizontal pipe with a diameter of 3.0 cm, the pressure is 100 kPa and water is flowing with a speed of 1.5 m/s. What is the pressure in the narrower region
Compute the numerical value for acceleration
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