MCQ
The horizontal range and maximum height attained by a projectile are $R$ and $H$, respectively. If a constant horizontal acceleration $a=g / 4$ is imparted to the projectile due to wind, then its horizontal range and maximum height will be
  • A
    $(R+H), \frac{H}{2}$
  • B
    $\left(R+\frac{H}{2}\right), 2 H$
  • C
    $( R +2 H ), H$
  • $(R+H), H$

Answer

Correct option: D.
$(R+H), H$
d
(d)

$H=H$ (as vertical component of acceleration has not changed)

$R^{\prime} =u_x T+\frac{1}{2} a_x T^2$

$=R+\frac{1}{2} \times \frac{g}{4} \times \frac{4 u^2 \sin ^2 \theta}{g^2}$

$=R \frac{u^2 \sin ^2 \theta}{2 g}=(R+H)$

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

Similar questions

Dimensional formula of stress is same as that of:
The disc of a siren containing $60$ holes rotates at a constant speed of $360\,rpm$. The emitted sound is in unison with a tuning fork of frequency .... $Hz$
Tuning fork ${F_1}$ has a frequency of $256 Hz$ and it is observed to produce $6$ beats/second with another tuning fork ${F_2}$. When ${F_2}$ is loaded with wax, it still produces $6$ beats/second with ${F_1}$. The frequency of ${F_2}$ before loading was ..... $Hz$
A string of length $L$ is fixed at one end and carries a mass $M$ at the other end. The string makes $2/\pi$ revolutions per second around the vertical axis through the fixed end as shown in the figure, then tension in the string is
A block of mass $M$ placed inside a box descends vertically with acceleration $'a'$. The block exerts a force equal to one-fourth of its weight on the floor of the box. The value of $'a'$ will be .............
As one considers orbits with higher values of n in a hydrogen atom, the electric potential energy of the atom:
  1. Decreases.
  2. Increases.
  3. Remains the same.
  4. Does not increase.
Five masses are placed in a plane as shown in figure. The coordinates of the centre of mass are nearest to.
As shown in the figure a block of mass $10\,kg$ lying on a horizontal surface is pulled by a force $F$ acting at an angle $30^{\circ}$, with horizontal. For $\mu_{ s }=0.25$, the block will just start to move for the value of $F..........\,N$ : $\left[\right.$ Given $\left.g =10\,ms ^{-2}\right]$
The acceleration of a solid cylinder rolling down an inclined plane of inclination 30° is:
A $5$ metre long wire is fixed to the ceiling. A weight of $10\, kg$ is hung at the lower end and is $1$ metre above the floor. The wire was elongated by $1\, mm$. The energy stored in the wire due to stretching is ......... $ joule$