Complete Question
You stand on a straight desert road at night and observe a vehicle approaching. This vehicle is equipped with two small headlights that are 0.681 m apart. At what distance, in kilometres, are you marginally able to discern that there are two headlights rather than a single light source?Take the wavelength of the light to be 549 nm and your pupil diameter as 4.63 mm.
Answer:
The distance is
Explanation:
From the question we are told that
The is distance between the headlight is
The wavelength is
The pupil diameter is
Generally, we can mathematically evaluate the resolution of the eye as
substituting values
Now according to SOHCAHTOA rule
Where z is the distance at which the eye can discern the two head light
given that the angle is very small
=>
substituting values
=>
=>
They are characterized by a regular crystalline organization of atoms that confer a long-range order. Amorphous, or non-crystalline, solids lack this long-range order. Accordingly, they lack the elasticity, distinct melting points, and other properties of crystalline solids
Answer:
0.0354 kg/s
Explanation:
= Initial displacement = 0.5 m
= Final displacement = 0.1 m
m = Mass of egg = 55 g
t = Time taken = 5 seconds
Displacement of the oscillator under damping motion is given by
For maximum displacement
From this equation we get
The magnitude of the damping constant is 0.0354 kg/s
Answer:
Part a)
v = 16.52 m/s
Part b)
v = 7.47 m/s
Explanation:
Part a)
(a) when the large-mass object is the one moving initially
So here we can use momentum conservation as the net force on the system of two masses will be zero
so here we can say
since this is a perfect inelastic collision so after collision both balls will move together with same speed
so here we can say
Part b)
(b) when the small-mass object is the one moving initially
here also we can use momentum conservation as the net force on the system of two masses will be zero
so here we can say
Again this is a perfect inelastic collision so after collision both balls will move together with same speed
so here we can say