Identical rays of light in air are refracted upon entering three transparent materials:
1 answer:
Answer:
Explanation:
for us to rank them we need to calculate the angle of refraction for the various materials. The angle of refraction is the angle between the refracted ray and the normal.
refractive index(n) = velocity of light in air/ velocity of light in medium
refractive index (n) = sini/sinr
lets equate the right side of both equations.
we will assume 30 degree as the angle of incidence for all materials.
(a) water
sinr = 0.75c/c *sin30
sinr = 0.375
r= arcsin0.375
r=22.02°
(b) ethyl alcohol
sinr = 0.7c/c *sin30
sinr = 0.35
r= arcsin0.35
r=20.49°
(c) crown glass
sinr = 0.6c/c *sin30
sinr = 0.3
r= arcsin0.35
r=17.46°
it is observed that the angle of refraction decreases as the velocity of light in glass decreases.
ranking the materials according to how much the light ray bends toward the normal, from most bending to least bending we have;
Crown glass > ethyl alcohol> water
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Answer:
(a). The value of d is 0.056 cm and 1.496 cm.
(b). The time period is 1.35 sec.
Explanation:
Given that,
Length = 50.00 cm
Time period = 2.50 s
Time period of pendulum is defined as the time for one complete cycle.
The period depends on the length of the pendulum.
Using formula of time period
Where, I = moment of inertia
We need to calculate the value of d
Using parallel theorem of moment of inertia
For a meter stick mass m , the rotational inertia about it's center of mass
Where, L = 1 m
Put the value into the formula of time period
Multiplying both sides by d
tex]T^2d=4\pi^2(\dfrac{L^2}{12g}+\dfrac{d^2}{g})[/tex]
Put the value of T, L and g into the formula
The value of d is 0.056 cm and 1.496 cm.
(b). Given that,
L = 50-5 = 45 cm
We need to calculate the time period
Using formula of period
Put the value into the formula
Hence, (a). The value of d is 0.056 cm and 1.496 cm.
(b). The time period is 1.35 sec.