Projectiles $A$ and $B$ are thrown at angles of $45^{\circ}$ and $60^{\circ}$ with vertical respectively from top of a $400 \mathrm{~m}$ high tower. If their ranges and times of flight are same, the ratio of their speeds of projection $v_A: v_B$ is :
Projectiles $A$ and $B$ are thrown at angles of $45^{\circ}$ and $60^{\circ}$ with vertical respectively from top of a $400 \mathrm{~m}$ high tower. If their ranges and times of flight are same, the ratio of their speeds of projection $v_A: v_B$ is :
- [JEE MAIN 2024]
- A
$1: \sqrt{3}$
- B
$\sqrt{2}: 1$
- C
$1: 2$
- D
$1: \sqrt{2}$
Similar Questions
Match the columns
Column $-I$
$R/H_{max}$
Column $-II$
Angle of projection $\theta $
$A.$ $1$
$1.$ ${60^o}$
$B.$ $4$
$2.$ ${30^o}$
$C.$ $4\sqrt 3$
$3.$ ${45^o}$
$D.$ $\frac {4}{\sqrt 3}$
$4.$ $tan^{-1}\,4\,=\,{76^o}$
Match the columns
| Column $-I$ $R/H_{max}$ |
Column $-II$ Angle of projection $\theta $ |
| $A.$ $1$ | $1.$ ${60^o}$ |
| $B.$ $4$ | $2.$ ${30^o}$ |
| $C.$ $4\sqrt 3$ | $3.$ ${45^o}$ |
| $D.$ $\frac {4}{\sqrt 3}$ | $4.$ $tan^{-1}\,4\,=\,{76^o}$ |
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- [KVPY 2018]
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