JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति JEE PYQ - Work Energy Power and Collision

  • question_answer
    An engine pumps water continuously through a hose. Water leaves the hose with velocity v and m is mass per unit length of the water jet. If this jet hits a surface and came to rest instantaneously, the force on the surface is  [JEE ONLINE 07-05-2012]

    A) \[m{{v}^{3}}\]

    B) \[m{{v}^{2}}\]

    C) \[\frac{1}{2}m{{v}^{2}}\]

    D) \[\frac{1}{2}m{{v}^{3}}\]

    Correct Answer: B

    Solution :

    [b] As power\[P=F.v.=\frac{F.\ell }{t}\]or,\[v\left( M\frac{v}{t} \right)=\frac{F.\ell }{t}\]
    \[\Rightarrow \]\[M{{v}^{2}}=F.\ell \]\[\Rightarrow \]\[F={{\frac{M}{\ell }}^{2}}{{v}^{2}}=m{{v}^{2}}\]
    \[\left[ \because \frac{M}{\ell }\text{=}\left( \text{given} \right) \right]\]


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