An object is situated to the left of a lens. A ray of light from the object is close to and parallel to the principal axis of th
e lens. The ray passes through the lens. Which one of the following statements is true?
The ray passes through a focal point of the lens only if the lens is a converging lens.
The ray passes through the lens without changing direction, no matter whether the lens is converging or diverging.
The ray crosses the principal axis at a distance from the lens equal to twice the focal length, no matter whether the lens is converging or diverging.
The ray passes through a focal point of the lens only if the lens is a diverging lens.
The ray passes through a focal point of the lens, no matter whether the lens is converging or diverging.
The ray passes through a focal point of the lens only if the lens is a converging lens.
The ray passes through the lens without changing direction, no matter whether the lens is converging or diverging.
The ray crosses the principal axis at a distance from the lens equal to twice the focal length, no matter whether the lens is converging or diverging.
The ray passes through a focal point of the lens only if the lens is a diverging lens.
The ray passes through a focal point of the lens, no matter whether the lens is converging or diverging.
1 answer:
Answer:
The ray passes through a focal point of the lens only if the lens is a converging lens.
Explanation:
By the principles of geometric optics, we know that all rays parallel to the principal axis of converging lens, change its direction to a point situated in the axis of the lens. This last point is know as the focal point.
Hence, the only truth choice is:
The ray passes through a focal point of the lens only if the lens is a converging lens.
I attached an image to illustrate this situation
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Answer:
a) 4.2m/s
b) 5.0m/s
Explanation:
This problem is solved using the principle of conservation of linear momentum which states that in a closed system of colliding bodies, the sum of the total momenta before collision is equal to the sum of the total momenta after collision.
The problem is also an illustration of elastic collision where there is no loss in kinetic energy.
Equation (1) is a mathematical representation of the the principle of conservation of linear momentum for two colliding bodies of masses and
whose respective velocities before collision are
and
;
where and
are their respective velocities after collision.
Given;
Note that =0 because the second mass
was at rest before the collision.
Also, since the two masses are equal, we can say that so that equation (1) is reduced as follows;
m cancels out of both sides of equation (2), and we obtain the following;
a) When , we obtain the following by equation(3)
b) As stops moving
, therefore,