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The initial velocity of an object is 2i^+4j^ m/s. Arrange the magnitude of Coriolis force acting on the object in decreasing order for the following l
Question



The initial velocity of an object is 2i^+4j^ m/s. Arrange the magnitude of Coriolis force acting on the object in decreasing order for the following latitudes, given that the initial velocity does not change.
(A) 20∘ N
(B) 40∘ N
(C) 30∘ N
(D) 60∘ N
(E) 80∘ N
Choose the correct answer from the options given below:

A.

(A), (C), (B), (D), (E)

B.

(A), (B), (C), (D), (E)

C.

(D), (B), (E), (C), (A)

D.

(E), (D), (B), (C), (A)

Correct option is D


The Coriolis force is given by the formula:

Where:
· m is the mass of the object.
· ω is the angular velocity of Earth's rotation.
· V is the velocity of the object.
· ϕ is the latitude.
The Coriolis force is directly proportional to sinϕ. Therefore, the higher the latitude (ϕ), the greater the Coriolis force.
Calculating the relative values:
1. At ϕ=80∘, sin80∘ is the largest.
2. At ϕ=60∘, sin60∘ is next.
3. At ϕ=40∘, sin40∘ comes third.
4. At ϕ=30∘, sin30∘= 0.5 is smaller.
5. At ϕ=20∘ is the smallest.
Thus, the Coriolis force decreases in the order:
80∘N>60∘N>40∘N>30∘N>20∘N

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