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A particle has same range for two angle of projection with same speed $10 m s^{- 1}$ . The corresponding maximum height attained by particle is $H_{1}$ and $H_{2}$ , respectively. Then $H_{1} + H_{2}$ is

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Correct option is B

α1+α2=900 H1=u2sin2α12g and H2=u2sin2α22g =u2sin2(900−α1)2g=u2cos2α12g ∴sin2α1+cos2α 1=2gH1u2+2gH2u2 ∴u2=2g(H1+H2) ∴H1+H2=u22g=10×102×10=5m

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A particle has same range for two angle of projection with same speed 10ms−1 . The corresponding maximum height attained by particle is H1 and H2 , respectively. Then H1+H2 is

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A particle has same range for two angle of projection with same speed $10 m s^{- 1}$ . The corresponding maximum height attained by particle is $H_{1}$ and $H_{2}$ , respectively. Then $H_{1} + H_{2}$ is