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QJEEM23Ph50e6: JEE Main 2023 Physics - Class 11 JEEM23Ph50e6 Solution: A stone is projected at angle to the horizontal. The ratio of…

A stone is projected at angle 30∘30^{\circ} to the horizontal. The ratio of kinetic energy of the stone at point of projection to its kinetic energy at the highest point of flight will be -

Multiple Choice Options

  • A 1:04
  • B 1:02
  • C 4:03
  • D 4:01

Step-by-Step Verified Solution

JEE Main 2023 (Online) 29th January Morning Shift Physics - Work Power & Energy Question 46 English Explanation
KEin=12mv2\mathrm{KE}_{\mathrm{in}}=\frac{1}{2} m v^{2}

KEfinal =12mv2cos⁡230∘=12mv2(32)2\mathrm{KE}_{\text {final }}=\frac{1}{2} m v^{2} \cos ^{2} 30^{\circ}=\frac{1}{2} m v^{2}\left(\frac{\sqrt{3}}{2}\right)^{2}

KEinKEf=12mv212mv2(34)=43\frac{\mathrm{KE}_{\mathrm{in}}}{\mathrm{KE}_{\mathrm{f}}}=\frac{\frac{1}{2} m v^{2}}{\frac{1}{2} m v^{2}\left(\frac{3}{4}\right)}=\frac{4}{3}

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