Two balls are thrown simultaneously from ground with same velocity of $10\,m / s$ but different angles of projection with horizontal. Both balls fall at same distance $5 \sqrt{3}\,m$ from point of projection. What is the time interval between balls striking the ground?
Two balls are thrown simultaneously from ground with same velocity of $10\,m / s$ but different angles of projection with horizontal. Both balls fall at same distance $5 \sqrt{3}\,m$ from point of projection. What is the time interval between balls striking the ground?
- A
$(\sqrt{3}-1)\,s$
- B
$(\sqrt{3}+1)\,s$
- C
$\sqrt{3}\,s$
- D
$1\,s$
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Column $-I$
Angle of projection
Column $-II$
$A.$ $\theta \, = \,{45^o}$
$1.$ $\frac{{{K_h}}}{{{K_i}}} = \frac{1}{4}$
$B.$ $\theta \, = \,{60^o}$
$2.$ $\frac{{g{T^2}}}{R} = 8$
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$K_i :$ initial kinetic energy
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|
Column $-I$ Angle of projection |
Column $-II$ |
| $A.$ $\theta \, = \,{45^o}$ | $1.$ $\frac{{{K_h}}}{{{K_i}}} = \frac{1}{4}$ |
| $B.$ $\theta \, = \,{60^o}$ | $2.$ $\frac{{g{T^2}}}{R} = 8$ |
| $C.$ $\theta \, = \,{30^o}$ | $3.$ $\frac{R}{H} = 4\sqrt 3 $ |
| $D.$ $\theta \, = \,{\tan ^{ - 1}}\,4$ | $4.$ $\frac{R}{H} = 4$ |
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