The ranges and heights for two projectiles projected with the same initial velocity at angles ${42^{\rm{o}}}\,\,{\rm{and }}\,{\rm{4}}{{\rm{8}}^{\rm{o}}}$ with the horizontal are ${R_1},{R_2}{\rm{ }}\,\,{\rm{and }}\,{H_1},{H_2},$ respectively. Choose the correct option.

${R_1} = {R_2}{\rm{ }}\,\,{\rm{and }}\,\,{H_1} < {H_2}$

${R_1} > {R_2}\,\,{\rm{ and}}\,\,{\rm{ }}{H_1} = {H_2}$

${R_1} < {R_2}{\rm{ }}\,\,{\rm{and }}\,\,{H_1} < {H_2}$

${R_1} = {R_2}{\rm{ }}\,\,{\rm{and}}\,\,{\rm{ }}{H_1} = {H_2}$

NEET UG PHYSICS MCQ: MOTION IN PLANE

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Analyzing +4 | -1

The ranges and heights for two projectiles projected with the same initial velocity at angles

{42^\mathrm{o}}\,\,\mathrm{and }\,\mathrm{4}{\mathrm{8}^\mathrm{o}}

with the horizontal are

{R_1},{R_2}\mathrm{ }\,\,\mathrm{and }\,{H_1},{H_2},

respectively. Choose the correct option.

View answer and explanation

Correct option: B

{R_1} = {R_2}\mathrm{ }\,\,\mathrm{and }\,\,{H_1} < {H_2}

Option B is correct because ranges are equal for complementary angles, and height is greater for the larger angle.