JEE Main 2025 (Online) 8th April Evening Shift | Motion in a Plane Question 1 | Physics

Two balls with same mass and initial velocity, are projected at different angles in such a way that maximum height reached by first ball is 8 times higher than that of the second ball. $T_1$ and $T_2$ are the total flying times of first and second ball, respectively, then the ratio of $T_1$ and $T_2$ is

2 : 1

$ \sqrt{2} : 1 $

2$ \sqrt{2} : 1 $

4 : 1

JEE Main 2025 (Online) 7th April Evening Shift

MCQ (Single Correct Answer)

-1

A helicopter flying horizontally with a speed of 360 km/h at an altitude of 2 km, drops an object at an instant. The object hits the ground at a point O, 20 s after it is dropped. Displacement of 'O' from the position of helicopter where the object was released is :

(use acceleration due to gravity g = 10 m/s² and neglect air resistance)

7.2 km

2$\sqrt{5}$ km

2$\sqrt{2}$ km

4 km

JEE Main 2025 (Online) 7th April Morning Shift

MCQ (Single Correct Answer)

-1

Two projectiles are fired from ground with same initial speeds from same point at angles $\left(45^{\circ}+\right.$ $\alpha)$ and $\left(45^{\circ}-\alpha\right)$ with horizontal direction. The ratio of their times of flights is

$\frac{1+\tan \alpha}{1-\tan \alpha}$

$\frac{1+\sin 2 \alpha}{1-\sin 2 \alpha}$

$\frac{1-\tan \alpha}{1+\tan \alpha}$

JEE Main 2025 (Online) 3rd April Evening Shift

MCQ (Single Correct Answer)

-1

A particle is projected with velocity $u$ so that its horizontal range is three times the maximum height attained by it. The horizontal range of the projectile is given as $\frac{n u^2}{25 g}$, where value of $n$ is: (Given, ' $g$ ' is the acceleration due to gravity.)