Download App

Motion in a Plane — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysicsMotion in a Plane2 Marks
Question
Prove that the maximum horizontal range is four times the maximum height attained by a projectile which is fired along the required oblique direction.
✓

Answer

The required angle of projection for max. horizontal range is 45°.
$\text{R}_\text{max}=\frac{\text{u}^2}{\text{g}}$
Max. height, $\text{H}=\frac{\text{u}^2\sin^2\theta}{2\text{g}}$
$=\frac{\text{u}^2\sin^245^\circ}{2\text{g}}=\frac{\text{u}^2}{4\text{g}}$
$\frac{\text{R}_\text{max}}{\text{H}}=\frac{\frac{\text{u}^2}{\text{g}}}{\frac{\text{u}^2}{4\text{g}}}=4$
or $\text{R}_\text{max}=4\text{H}$

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 "2 Marks Questions" from Motion in a Plane→Motion in a Plane — all question types→Physics STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

An ideal gas is taken from an initial state i to a final state f in such a way that the ratio of the pressure to the absolute temperature remains constant. What will be the work done by the gas?
→
A famous relation in physics relates 'moving mass' $m$ to the 'rest mass' $m_0$ of a particle in terms of its speed $v$ and the speed of light, $c$. (This relation first arose as a consequence of special relativity due to Albert Einstein). A boy recalls the relation almost correctly but forgets where to put the constant $c$. He writes :
$
m=\frac{m_0}{\left(1-v^2\right)^{1 / 2}}
$
Guess where to put the missing $c$.
→
What is basic law followed by equipartition of energy?
→
A block of mass 5.0kg slides down an incline of inclination 30° and length 10m. Find the work done by the force of gravity.
→
A cylindrical metal tube has a length of 50cm and is open at both ends. Find the frequencies between 1000Hz and 2000Hz at which the air column in the tube can resonate. Speed of sound in air is 340m/s.
→
Given the moment of inertia of a disc of mass M and R radius R about any of its diameters to be $\frac{\text{MR}^2}{4},$ find its moment of inertia about an axis normal to the disc and passing through a point on its rim.
→
A positive charge q is placed in front of a conducting solid cube at a distance d from its centre. Find the electric field at the centre of the cube due to the charges appearing on its surface.
→
An astronaut inside a small spaceship orbiting around the earth cannot detect gravity. If the space station orbiting around the earth has a large size, can he hope to detect gravity?
→
Using the formula $\overrightarrow{\text{F}}=\text{q}\overrightarrow{\text{v}}\times\overrightarrow{\text{B}}$ and $\text{B}=\frac{\mu_0\text{i}}{2\pi\text{r}},$ show that the SI units of the magnetic field B and the permeability constant $\mu_0$ may be written as N/A-m and NA2 respectively.
→
Find the loss in the mass of 1 mole of an ideal monatomic gas kept in a rigid container as it cools down by 10°C. The gas constant R = 8.3 J/mol-K.
→