Download App

3.2 , motion in plane — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics3.2 , motion in plane1 Mark
MCQ
A shell is fired vertically upwards with a velocity $v_1$ from a trolley moving horizontally with velocity $v_2$. A person on the ground observes the motion of the shell as a parabola, whose horizontal range is ....
  • A
    $\frac{2 v_1^2 v_2}{g}$
  • B
    $\frac{2 v_1^2}{g}$
  • C
    $\frac{2 v_2^2}{g}$
  • ✓
    $\frac{2 v_1 v_2}{g}$
✓

Answer

Correct option: D.
$\frac{2 v_1 v_2}{g}$
d
(d)

There is no acceleration in the horizontal direction.

$S_x=U_x T+\frac{1}{2} a_0 \times T^2$

$R=U_x T \ldots (1)$

$S_y=U_y T+\frac{1}{2} g_y T^2$

$O=V_1 T-\frac{1}{2} g T^2$

$\Rightarrow V_1 T=\frac{1}{2} g T$

$T=\frac{2 V_1}{g}$

We know,

$(R)$ range $=($ Horizontal velocity $4 x) \times$ flight $+$ time $(T)$

i.e., $R=4 x \times T$

$R=V_2 \times \frac{2 V_1}{g} \Rightarrow \frac{2 V_1 V_2}{g}$

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

If the absorption and reflection co-efficients of a surface of a body are $0.4$ and $0.6$ respectively, then
→
If the atmospheric pressure is $P_a$, then the pressure $P$ at depth $h$ below the surface of liquid of density $\rho $ open to the atmosphere is
→
Aball is thrown vertically down with velocity of $5m/s$. With what velocity should another ball be thrown down after $2$ seconds so that it can hit the $1^{st}$ ball in $2$ seconds.........$m/s$
→
The thickness of a metallic plate is $0.4 cm$ . The temperature between its two surfaces is ${20^o}C$. The quantity of heat flowing per second is $50$ calories from $5c{m^2}$ area. In $CGS$ system, the coefficient of thermal conductivity will be
→
A particle moving along $x-$axis has acceleration $f$, at time $t$ , given by $ f=f_0$$\left( {1 - \frac{t}{T}} \right)$, where $f_0$ and $T$ are constants. The particle at $t=0$ has zero velocity . In the time interval between $t=0$ and the instant when $f=0$ , the particle 's velocity $(v_x)$ is 
→
Two whistles $A$ and $B$ each have a frequency of $500\,\,Hz$. $A$ is stationary and $B$ is moving towards the right (away from $A$) at a speed of $50\,\, m/s$. An observer is between the two whistles moving towards the right with a speed of $25\,\, m/s.$ The velocity of sound in air is $350 \,\,m/s$. Assume there is no wind. Then which of the following statements are true:
→
A particle is projected in a plane perpendicular to a uniform magnetic field. The area bounded by the path described by the particle is proportional to:
  1. The velocity.
  2. The momentum.
  3. The kinetic energy.
  4. None of these.
→
A glass tube of uniform internal radius ( $\mathrm{r}$ ) has a valve separating the two identical ends. Initially, the valve is in a tightly closed position. End $1$ has a hemispherical soap bubble of radius $\mathrm{r}$. End $2$ has sub-hemispherical soap bubble as shown in figure. Just after opening the valve,

Figure: $Image$

→
A body initially at rest and sliding along a frictionless track from a height $h$ (as shown in the figure) just completes a vertical circle of diameter $AB =D$ . The height $h$ is equal to 
→
Tripling the speed of the motor car multiplies the distance needed for stopping it by
→