Two projectiles are thrown simultaneously in the same plane from … - Vidyadip

MCQ

Two projectiles are thrown simultaneously in the same plane from the same point. If their velocities are $v_1$ and $v_2$ at angles $\theta _1$ and $\theta_2$ respectively from the horizontal, then answer the following question

If $v_1 = v_2$ and $\theta _1 > \theta _2$, then choose the incorrect statement

A
The slope of the trajectory of particle $2$ with respect to $1$ is always positive
✓
Particle $2$ moves under the particle $1$
C
Both the particle will have the same range if $\theta _1 > 45^o$ and $\theta _2 < 45^o$ and $\theta _1 + \theta _2 = 90^o$
D
none of these

✓

Answer

Correct option: B.

Particle $2$ moves under the particle $1$

b
$x=v \cos \theta t=50 \times \frac{3}{5} \times 2=60 \mathrm{m}$

$y=u \sin \theta t-\frac{1}{2} g t^{2}=50 \times \frac{4}{5} \times 2-\frac{1}{2} \times 10 \times 2^{2}=60 m$

$d=\sqrt{x^{2}+y^{2}}$

$=\sqrt{60^{2}+60^{2}}=60 \sqrt{2} m$

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

Explore more

More "M.C.Q (1 Marks)" from 3.2 , motion in plane→3.2 , motion in plane — all question types→Physics STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

The friction coefficient between the horizontal surface and each of the block shown in figure is $0.2.$ The collision between the blocks is perfectly elastic. What is the separation between the blocks when they come to rest :- .............. $\mathrm{cm}$

A system X is neither in thermal equilibrium with Y nor with Z. The systems Y and Z:

Must be in thermal equilibrium.
Cannot be in thermal equilibrium.
May be in thermal equilibrium.

If the temperature of a uniform rod is slightly increased by ∆t, its moment of inertia Iabout a line parallel to itself will increase by:

$\text{Zero}$
$\alpha\text{I}\Delta\text{t}$
$2\alpha\text{I}\Delta\text{t}$
$3\alpha\text{I}\Delta\text{t}$

A gas at ${27}^\circ C$ temperature and $30$ atmospheric pressure is allowed to expand to the atmospheric pressure. If the volume becomes $10$ times its initial volume, then the final temperature becomes ...... $^oC$

Which of the following statements is true regarding the molecular kinetic theory of gases?

Two containers $C_{1}$ and $C_{2}$ of volumes $V$ and $4 \,V$ respectively, hold the same ideal gas and are connected by a thin horizontal tube of negligible volume with a valve which is initially closed. The initial pressures of the gas in $C_{1}$ and $C_{2}$ are $p$ and $5 p$, respectively. Heat baths are employed to maintain the temperatures in the containers at $300 \,K$ and $400 \,K$, respectively. The valve is now opened. Select the correct statement.

Three particles A, B and C projected from the same point with the same initial speeds making angle 30°, 45° and 60°, respectively with the horizontally. Which of the following statements is correct?

A mass of $2 \,kg$ is whirled in a horizontal circle by means of a string at an initial speed of $5$ revolutions per minute. Keeping the radius constant the tension in the string is doubled. The new speed is nearly ....... $rpm$

A simple pendulum has a time period ${T_1}$ when on the earth’s surface and ${T_2}$ when taken to a height $R$ above the earth’s surface, where $R$ is the radius of the earth. The value of ${T_2}/{T_1}$ is

A satellite in force-free space sweeps stationary interplanetary dust at a rate $\frac{d M}{d t}=\alpha v$ where $M$ is the mass, $v$ is the velocity of the satellite and $\alpha $ is a constant. What is the deacceleration of the satellite