Physics-
General
Easy

Question

A uniform wire of length l is bent into the shape of 'V' as shown. The distance of its centre of mass from the vertex A is

  1. l/2    
  2. fraction numerator l square root of 3 over denominator 4 end fraction    
  3. fraction numerator l square root of 3 over denominator 8 end fraction    
  4. None of these    

The correct answer is: l/2

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Statement I : The inverse of the matrix  open square brackets table attributes columnalign center center center columnspacing 1em end attributes row 1 3 5 row 2 6 10 row 9 8 7 end table close square brackets does not exist.
Statement II : The matrix  open square brackets table attributes columnalign center center center columnspacing 1em end attributes row 1 3 5 row 2 6 10 row 9 8 7 end table close square brackets is singular. [because open vertical bar table attributes columnalign center center center columnspacing 1em end attributes row 1 3 5 row 2 6 10 row 9 8 7 end table close vertical bar = 0, since R2 = 2R1]

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Two blocks A and B of masses m and 2m respectively are connected by a spring of spring constant k. The masses are moving to the right with a uniform velocity v subscript 0 end subscript each, the heavier mass leading the lighter one. The spring is of natural length during this motion. Block B collides head on with a third block C of mass 2m. at rest, the collision being completely inelastic. The maximum compression of the spring after collision is –

Two blocks A and B of masses m and 2m respectively are connected by a spring of spring constant k. The masses are moving to the right with a uniform velocity v subscript 0 end subscript each, the heavier mass leading the lighter one. The spring is of natural length during this motion. Block B collides head on with a third block C of mass 2m. at rest, the collision being completely inelastic. The maximum compression of the spring after collision is –

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Two blocks A and B of masses m and 2m respectively are connected by a spring of spring constant k. The masses are moving to the right with a uniform velocity v subscript 0 end subscript each, the heavier mass leading the lighter one. The spring is of natural length during this motion. Block B collides head on with a third block C of mass 2m. at rest, the collision being completely inelastic. The velocity of centre of mass of system of block A, B & C is-

Two blocks A and B of masses m and 2m respectively are connected by a spring of spring constant k. The masses are moving to the right with a uniform velocity v subscript 0 end subscript each, the heavier mass leading the lighter one. The spring is of natural length during this motion. Block B collides head on with a third block C of mass 2m. at rest, the collision being completely inelastic. The velocity of centre of mass of system of block A, B & C is-

physics-General
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Two blocks A and B of masses m and 2m respectively are connected by a spring of spring constant k. The masses are moving to the right with a uniform velocity v subscript 0 end subscript each, the heavier mass leading the lighter one. The spring is of natural length during this motion. Block B collides head on with a third block C of mass 2m. at rest, the collision being completely inelastic. The velocity of block B just after collision is-

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