A water jet of cross-section area 0.01 m2 impinges normally on a plate and falls down grazing the plate tangentially. If a force of 490 N is produced as a result of this impact, the velocity of the jet is-

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BDL MT Mechanical 16 April 2022 Official Paper
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  1. 3.5 m/s
  2. m/s
  3. m/s
  4. 49 m/s

Answer (Detailed Solution Below)

Option 3 : 7 m/s
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ST 1: BDL MT Thermodynamics
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Detailed Solution

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Concept:

Force exerted by a jet on the vertical plate having velocity of jet v is given by:

=()2

where ρ = Density of Liquid, v = velocity of Jet, a = area of jet

Calculation:

Given:

 a = 0.01 m2, Density of Water = 1000 Kg/m3, F = 490 N

490 = 1000 × 0.01  × v2

490 = 10v2

v = 7 m/s

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