Physics-
General
Easy

Question

From a point A on bank of a channel with still water a person must get to a point B on the opposite bank. All the distances are shown in fig. The person uses a boat to travel across the channel and then walks along the bank to point B. The velocity of the boat is v subscript 1 end subscript and the velocity of the walking person is v subscript 2 end subscript. Then,

  1. fraction numerator s i n invisible function application alpha subscript 1 end subscript over denominator s i n invisible function application alpha subscript 2 end subscript end fraction equals fraction numerator v subscript 2 end subscript over denominator v subscript 1 end subscript end fraction    
  2. fraction numerator s i n invisible function application alpha subscript 2 end subscript over denominator s i n invisible function application alpha subscript 1 end subscript end fraction equals fraction numerator v subscript 2 end subscript over denominator v subscript 1 end subscript end fraction    
  3. fraction numerator c o s invisible function application alpha subscript 1 end subscript over denominator c o s invisible function application alpha subscript 2 end subscript end fraction equals fraction numerator v subscript 1 end subscript over denominator v subscript 2 end subscript end fraction    
  4. fraction numerator t a n invisible function application alpha subscript 1 end subscript over denominator t a n invisible function application alpha subscript 2 end subscript end fraction equals fraction numerator v subscript 1 end subscript over denominator v subscript 2 end subscript end fraction    

The correct answer is: fraction numerator s i n invisible function application alpha subscript 2 end subscript over denominator s i n invisible function application alpha subscript 1 end subscript end fraction equals fraction numerator v subscript 2 end subscript over denominator v subscript 1 end subscript end fraction

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