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Q.

Rain in falling vertically downwards, by how many times that a person should in more his velocity in order to change his umbrella position from an angle 30⁰ with vertical to 60⁰ with vertical to protect himself from rain

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a

2.5

b

1

c

2

d

3

answer is A.

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Detailed Solution

Question Image

$\tan 30 = \frac{V_{m}}{V_{r}} = V_{r} = \sqrt{3} V_{m}$

$\tan 60^{\circ} = \frac{V_{m^{1}}}{V_{r}}$

$V_{m^{1}} = \sqrt{3} V_{r} = \sqrt{3} (\sqrt{3} v_{m}) = 3 V_{m} \Rightarrow V_{m^{1}} = 3 V_{m}$

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Rain in falling vertically downwards, by how many times that a person should in more his velocity in order to change his umbrella position from an angle 300 with vertical to 600 with vertical to protect himself from rain