MCQ
Two particles are projected from the same point with the same speed at different angles $\theta _1$ and $\theta _2$ to the horizontal. They have the same range. Their times of flight are $t_1$ and $t_2$ respectively.
  • A
    ${\theta _1} = 90 - {\theta _2}$
  • B
    $\frac{{{t_1}}}{{\sin \,{\theta _1}}} = \frac{{{t_2}}}{{\sin \,{\theta _2}}}$
  • C
    $\frac{{{t_1}}}{{{t_2}}} = \tan \,{\theta _1}$
  • All of the above

Answer

Correct option: D.
All of the above
d
For same ranges angles of projection are complimentry.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A cylinder rolls without slipping down an inclined plane, the number of degrees of freedom it has, is
Column $I$ gives a list of possible set of parameters measured in some experiments. The variations of the parameters in the form of graphs are shown in Column $II$. Match the set of parameters given in Column $I$ with the graph given in Column $II$. Indicate your answer by darkening the appropriate bubbles of the $4 \times 4$ matrix given in the $ORS$.
Column $I$ Column $II$
$(A)$ Potential energy of a simple pendulum (y axis) as a function of displacement ( $\mathrm{x}$ axis) $Image$
$(B)$ Displacement (y axis) as a function of time (x axis) for a one dimensional motion at zero or constant acceleration when the body is moving along the positive $\mathrm{x}$-direction $Image$
$(C)$ Range of a projectile (y axis) as a function of its velocity ( $\mathrm{x}$ axis) when projected at a fixed angle $Image$
$(D)$ The square of the time period (y axis) of a simple pendulum as a function of its length ( $\mathrm{x}$ axis) $Image$

The graph between pressure $(P)$ and $\frac{1}{V}$ ($V$ is volume) for constant temperature process in ideal equation  $(PV = nRT)$
The moment of inertia of a uniform semicircular wire of mass M and radius r about a line perpendicular to the plane of the wire through the centre is:
The figure shows the $P-V$ plot of an ideal gas taken through a cycle $ABCDA$. The part $ABC$ is a semi-circle and $CDA$ is half of an ellipse. Then,

$(A)$ the process during the path $\mathrm{A} \rightarrow \mathrm{B}$ is isothermal

$(B)$ heat flows out of the gas during the path $\mathrm{B} \rightarrow \mathrm{C} \rightarrow \mathrm{D}$

$(C)$ work done during the path $\mathrm{A} \rightarrow \mathrm{B} \rightarrow \mathrm{C}$ is zero

$(D)$ positive work is done by the gas in the cycle $ABCDA$

A body of mass $2\, kg$ moving with a velocity $\left( {\hat i + \hat j + \hat k} \right)\,m/s$ collides with another body of mass $5\, kg$ moving with velocity $\left( {\hat i - 2\hat j + 3\hat k} \right)\,m/s$. If they stick together, the velocity (in $m/s$) of the composite body is 
An engine operates by taking $n\,moles$ of an ideal gas through the cycle $ABCDA$ shown in figure. The thermal efficiency of the engine is : (Take $C_v =1 .5\, R$, where $R$ is gas constant)
The resultant of two rectangular simple harmonic motions of the same frequency and unequal amplitudes but differing in phase by $\frac{\pi }{2}$ is
If liquefied oxygen at $1$ atmospheric pressure is heated from $50\, K$ to $300\, K$ by supplying heat at constant rate. The graph of temperature vs time will be
The behavior of real gases approaches that of ideal gas in which of these following conditions?