A ray of yellow light (lambda = 590 nm) is passing from diamond to quartz at an

Question

A ray of yellow light (lambda = 590 nm) is passing from diamond to quartz at an angle of 45 degree relative to the boundary's normal. What is the angle of the refracted ray (relative to the normal)? a. 5.12 degree b. 10.1 degree c. 32.5 degree d. 45.1 degree e. The light is totally internally reflected If the focal length of a compound microscope's eyepiece is 6 cm and the desired angular magnification is 50 times larger, what is the required distance between the eyepiece and the objective lens if the focal length of the objective lens is 2 mm (and assuming a near point of 25 cm)? a. 120 cm b. 14 cm c. 8.4 cm d. 4.2 cm e. 1.2 cm Suppose a rectangular wire loop with resistance 5 ohm is moving at 12 cm/sec into an area of uniform magnetic field (B = 0.85 T) as shown. What is the magnitude and direction of the current in the loop as the loop enters the field area? What is the magnitude of the current in the loop after the loop is fully in the uniform magnetic field?

Explanation / Answer

a) let;s start with using snell's law

ray is moving from denser to rarer medium,

Qcritical = sin^-1 ( 1.458/ 2.417) = 37 degree...as incident angle is more than critical angle, light is totally internally reflected.

b) M=- L(25)/ ( f0 fe)

6x 50 = - ( L25 ) / ( 6 x 0.2)

L= 14 cm

c) motinal emf=vBL = ( 12x 10^-2) ( 0.85) (8 x 10^-2)

I = V/R = ( 12x 10^-2) ( 0.85) (8 x 10^-2) / 5= 0.0016 A apprx, anticlock wise

0 ( as the velocity reduces to 0)

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