2. Solved Papers
  3. JEE Main & Advanced

JEE Main & Advanced JEE Main Paper (Held on 7 May 2012)

  • question_answer
    A square hole of side length i is made at a depth of h and a circular hole of radius r is made at adepth of 4h from the surface of water in a water tank kept on a horizontal surface. If \[\ell <<h, r<<h\]and the rate of water flow from the holes is the same, then r is equal to   JEE Main Online Paper (Held On 07 May 2012)

    A) \[\frac{\ell }{\sqrt{2\pi }}\]

    B)                        \[\frac{\ell }{\sqrt{3\pi }}\]

    C)                        \[\frac{\ell }{3\pi }\]                                       

    D)                        \[\frac{\ell }{2\pi }\]

    Correct Answer: A

    Solution :

                    As\[{{A}_{1}}{{v}_{1}}={{A}_{2}}{{v}_{2}}\](Principle of continuity) or,\[{{\ell }^{2}}\sqrt{2gh}=\pi {{r}^{2}}\sqrt{2g\times 4h}\] (Efflux velocity \[=\sqrt{2gh}\] ) \[\therefore \]\[{{r}^{2}}=\frac{{{\ell }^{2}}}{2\pi }\]or\[r=\sqrt{\frac{{{\ell }^{2}}}{2\pi }}=\frac{{{\ell }^{2}}}{\sqrt{2\pi }}\]                                


You need to login to perform this action.
You will be redirected in 3 sec spinner