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Q.

A man holds an umbrella at 30o with the vertical, to keep himself W. He, then, runs at a speed of 10 ms-1, and find the rain drops to be hitting vertically, Study the following statements and find the correct options, 

i. Velocity of rain w.r.t. Earth is 20 m s-1 

ii. Velocity of rain w. r.t. man is 103m s-1 

iii. Velocity of rain w.r.t. Earth is 30 m s-1 

iv. Velocity of rain w.r.t. man is 102 ms-1 

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a

Statements (i) and (ii) are correct

b

Statements (i) and (iii) are correct

c

Statements (iii) and (iv) are correct

d

Statements (ii) and (iv) are correct

answer is A.

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Detailed Solution

vm= Velocity of man vre= Velocity of rain w.r.t. earth vrm= Velocity of rain w.r.t. man

Velocity of man vm=10ms1

Question Image

Using sin30=vmvre

      vre=vmsin30=101/2=20ms1cos30=vrmvrevrm=vrecos30=20×32=103ms1

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