Physics-
General
Easy

Question

Four identical metal butterflies are hanging from a light string of length 5 l at equally placed points as shown in the figure . The ends of the string are attached to a horizontal fixed support. The middle section of the string is horizontal. The relation between the angle theta subscript 1 end subscript and theta subscript 2 end subscript is given by

  1. s i n invisible function application theta subscript 1 end subscript equals 2 s i n invisible function application theta subscript 2 end subscript    
  2. 2 c o s invisible function application theta subscript 1 end subscript equals s i n invisible function application theta subscript 2 end subscript    
  3. t a n invisible function application theta subscript 1 end subscript equals 2 t a n invisible function application theta subscript 2 end subscript    
  4. theta subscript 2 end subscript less than theta subscript 1 end subscript text  and no other conclusion can be derived end text    

The correct answer is: t a n invisible function application theta subscript 1 end subscript equals 2 t a n invisible function application theta subscript 2 end subscript


    table row cell T subscript 1 end subscript s i n invisible function application theta subscript 1 end subscript equals 2 m g end cell row cell T subscript 2 end subscript s i n invisible function application theta subscript 2 end subscript equals m g end cell row cell T subscript 1 end subscript c o s invisible function application 0 subscript 1 end subscript identical to T subscript 2 end subscript c o s invisible function application 0 subscript 2 end subscript end cell row cell 2 m g c o t invisible function application theta subscript 1 end subscript equals m g c o t invisible function application theta subscript 2 end subscript end cell row cell rightwards double arrow t a n invisible function application theta subscript 1 end subscript equals 2 t a n invisible function application theta subscript 2 end subscript end cell end table

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