Given below are two statements : one is labelled as Assertion $A$ and the other is labelled as Reason $R$.

Assertion $A$ : When a body is projected at an angle $45^{\circ}$, it's range is maximum.

Reason $R$ : For maximum range, the value of $\sin 2 \theta$ should be equal to one.

In the light of the above statements, choose the correct answer from the options given below :

  • [JEE MAIN 2023]
  • A

    Both $A$ and $R$ are correct but $R$ is NOT the correct explanation of $A$

  • B

    Both $A$ and $R$ are correct $R$ is the correct explanation of $A$

  • C

    $A$ is true but $R$ is false

  • D

    $A$ is false but $R$ is true

Similar Questions

A bullet is fired from a gun at the speed of $280\,ms ^{-1}$ in the direction $30^{\circ}$ above the horizontal. The maximum height attained by the bullet is $........\,m$ $\left(g=9.8\,ms ^{-2}, \sin 30^{\circ}=0.5\right):-$

  • [NEET 2023]

If time of flight of a projectile is $10$ seconds. Range is $500$ meters. The maximum height attained by it will be  ......... $m$

A missile is fired for maximum range at your town from a place $100\, km$ away from you. If the missile is first detected at its half way point, how much warning time will you have ? (Take $g = 10\, m/s^2$)

The trajectory of a projectile near the surface of the earth is given as$ y = 2x -9x^2$. If it were launched at an angle $\theta_0$ with speed $v_0$ then $(g = 10\, ms^{-2}$)

  • [JEE MAIN 2019]

Neglecting the air resistance, the time of flight of a projectile is determined by