Question
A ball is thrown at an angle $\theta$ with the horizontal. Its horizontal range is equal to its maximum height. This is possible only when the value of $\tan \theta$ is ..........
$\frac{H}{R}=\frac{1}{4} \tan \theta$
$\Rightarrow H=R$, given,
$\tan \theta=4$
$\Rightarrow \theta=\tan ^{-1}(4)$
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$\left[{m}_{{p}}=1.67 \times 10^{-27} {kg}, {e}=1.6 \times 10^{-19} {C},\right.$ Speed of light $\left.=3 \times 10^{8} {m} / {s}\right]$
| List$-1$ (Electromagnetic waves) | List$-2$ (Wavelength) |
| $(a)$ $AM$ radio waves | $(i)$ $10^{-10}\,m$ |
| $(b)$ Microwaves | $(ii)$ $10^{2}\,m$ |
| $(c)$ Infrared radiations | $(iii)$ $10^{-2}\,m$ |
| $(d)$ $X-$rays | $(iv)$ $10^{-4}\,m$ |
Choose the correct answer from the options given below:
