Download App

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

Gujarat BoardEnglish MediumSTD 11 SciencePhysics3.2 , motion in plane1 Mark
MCQ
Two objects are projected with same velocity ' $u$ ' however at different angles $\alpha$ and $\beta$ with the horizontal. If $\alpha+\beta=90^{\circ}$, the ratio of horizontal range of the first object to the $2^{\text {nd }}$ object will be :
  • A
    $4: 1$
  • B
    $2: 1$
  • C
    $1: 2$
  • ✓
    $1: 1$
✓

Answer

Correct option: D.
$1: 1$
d
$\text { Range }=\frac{ u ^2 \sin 2 \theta}{ g }$

Range for projection angle " $\alpha$ "

$R _1=\frac{ u ^2 \sin 2 \alpha}{ g }$

Range for projection angle " $\beta$ "

$R _2=\frac{ u ^2 \sin 2 \beta}{ g }$

$\alpha+\beta=90^{\circ}(\text { Given })$

$\Rightarrow \beta=90^{\circ}-\alpha$

$R _2=\frac{ u ^2 \sin 2\left(90^{\circ}-\alpha\right)}{ g }$

$R _2=\frac{ u ^2 \sin \left(180^{\circ}-2 \alpha\right)}{ g }$

$R _2=\frac{ u ^2 \sin 2 \alpha}{ g }$

$\Rightarrow \frac{ R _1}{ R _2}=\frac{\left(\frac{ u ^2 \sin 2 \alpha}{ g }\right)}{\left(\frac{ u ^2 \sin 2 \alpha}{ g }\right)}=\frac{1}{1}$

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→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A train moving towards a hill at a speed of $72\ km/hr$ sounds a whistle of frequency $500\ Hz$ . A wind is blowing from the hill at a speed of $36\ km/hr$ . If the speed of sound in air is $340\ m/s$ , the frequency heard by a man on the hill (nearly) is ... $Hz$
→
A string is used to pull a block of mass $m$ vertically up by a distance $h$ at a constant acceleration $\frac{g}{3}$. The work done by the tension in the string is ..............
→
A solid cylinder of mass $m$ is wrapped with an inextensible light string and, is placed on a rough inclined plane as shown in the figure. The frictional force acting between the cylinder and the inclined plane is:

[The coefficient of static friction, $\mu_{ s },$ is $\left.0.4\right]$

→
A wave is represented by the equation$y = 7\sin \left( {7\pi t - 0.04\,x\pi + \frac{\pi }{3}} \right)$ $x$ is in metres and $ t$ is in seconds. The speed of the wave is
→
$P-V$ diagram of a diatomic gas is a straight line passing through origin. The molar heat capacity of the gas in the process will be
→
$A$ and $B$ start walking towards each other from the opposite ends of a $15\ km$ long straight road, at a speed of $5\ km/ hr$ and $7\ km/ hr$ respectively. How far apart will they be after one hour?
→
A source emits a sound of frequency of $400Hz,$ but the listener hears it to be $390Hz.$ Then:
→
Which of the following doesn't represent rotatory motion?
→
A tuning fork of frequency $340\,Hz$ resonates in the fundamental mode with an air column of length $125\,cm$ in a cylindrical tube closed at one end. When water is slowly poured in it, the minimum height of water required for observing resonance once again is________ $cm$

(Velocity of sound in air is $340\,ms ^{-1}$ )

→
A capacitor with no dielectric is connected to a battery at $t = 0.$ Consider a point $A$ in the connecting wires and a point $B$ in between the plates.
  1. There is no current through $A.$
  2. There is no current through $B.$
  3. There is a current through $A$ as long as the charging is not complete.
  4. There is a current through $B$ as long as the charging is not complete.
→