The maximum height attained by projectile is increased by 10 % by… - Vidyadip

MCQ

The maximum height attained by projectile is increased by $10 \%$ by changing the angle of projection, without changing the speed of projection. The percentage increase in the time of flight will be

A
$20 \%$
B
$15 \%$
C
$10 \%$
✓
$5 \%$

✓

Answer

Correct option: D.

$5 \%$

(D)
$H =\frac{ u ^2 \sin ^2 \theta}{2 g}$
Differentiating prartially,
$\delta H =\frac{ u ^2(2 \sin \theta \cdot \cos \theta) \delta \theta}{2 g}$
$\therefore \quad \frac{\delta H }{ H }=\frac{2 \cos \theta \delta \theta}{\sin \theta}=0.1$ (given)
Similarly, $\frac{\partial I}{T}=\frac{\cos \theta \partial \theta}{\sin \theta}=0.05$
Therefore, T increases by 5%

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 Motion in a Plane→Motion in a Plane — all question types→Physics STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

A stone falls freely under gravity. It covers distances $h_1$, $h_2$ and $h_3$ in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between $h_1$ ,$h_2$ and $h_3$ is

A 100 W, 200 V bulb is connected to a 160 volt supply. The actual’ power consumption would be

The working of SONAR is based on …………………

A metal rod of length $L$ and cross-sectional area $A$ is heated through $T^{\circ} C$. What is the force required to prevent the expansion of the rod lengthwise?

The displacement of a wave travelling in the $x$ direction is $y=10^{-4} \sin \left[600 t-2 x+\frac{\pi}{3}\right] m$, where $x$ is in metre and $t$ in second. The speed of the wave is

A force of $2.25 N$ acts on a charge of $15 \times 10^{-4}C.$ Calculate the intensity of electric field at that point.

Distance of the centre of mass of a solid uniform cone from its vertex is $Z _0$. If the radius of its base is R and its height is h then \[Z_0\] is equal to

A moving block having mass $m,$ collides with another stationary block having mass $4m.$ The lighter block comes to rest after collision, When the initial velocity of the lighter block is $v,$ then the value of coefficient of restitution
$(e)$ will

Masses of three pieces of wires made of the same metal are in the ratio 1 : 3 : 5 and their lengths are in the ratio 5 : 3 : 1. The ratios of their resistances are

A projectile can have the same range R for two angles of projection. If $t_1$ and $t_2$ are the times of flight in the two cases, then the product of the two time of flight is proportional