AIIMS Physics Motion In A Plane Class 11 Questions

If a small orifice is made at a height of $0.25\text{ m}$ from the ground, the horizontal range of water stream will be,

A cricketer can throw a ball to a maximum horizontal distance of 100 m. The speed with which he throws the ball is (to the nearest integer)

The vectors $\vec{A}$ and $\vec{B}$ are such that $$|\vec{A} + \vec{B}| = |\vec{A} - \vec{B}|$$ The angle between the two vectors is

The velocity of projection of a body is increased by 2%. Other factors remaining unchanged, what will be the percentage change in the maximum height attained?

A ball of mass $160\text{ g}$ is thrown up at an angle of $60^\circ$ to the horizontal at a speed of $10\text{ m/s}$. The angular momentum of the ball at the highest point of the trajectory with respect to the point from which the ball is thrown is nearly $\left(g = 10\text{ m/s}^2\right)$

Ratio between maximum range and square of time of flight in projectile motion is

Assertion: If $|\vec{A} + \vec{B}| = |\vec{A} - \vec{B}|$, then the angle between $\vec{A}$ and $\vec{B}$ is $90^\circ$. Reason: $\vec{A} + \vec{B} = \vec{B} + \vec{A}$

Assertion: Three projectiles are moving in different paths in the air. Vertical component of relative velocity between any of the pair does not change with time as long as they are in air. (Neglecting the effect of air friction) Reason: Relative acceleration between any of the pair of projection is zero.

A particle is projected with an angle of projection to the horizontal line passing through the points (P,Q) and (Q, P) referred to horizontal and vertical axes (can be treated as x-axis and y-axis respectively). The angle of projection can be given by

What will be the horizontal displacement of the charged particle when it descends a distance of $y$ meter. Given $\frac{Q}{m} = 9.6 \times 10^7\text{ C/kg}$, $E = 5 \times 10^5\text{ V/m}$, $y = 84\text{ cm}$, $g = 10\text{ m/s}^2$

A person aiming to reach the exactly opposite point on the bank of a stream is swimming with a speed of 0.5 m/s at an angle of 120° with the direction of flow of water. The speed of water in the stream is

A body is projected from the ground with a velocity $50\text{ m/s}$ at an angle of $30^\circ$. It crosses a wall after $3\text{ sec}$. How far beyond the wall the body will strike the ground?

Assertion : The trajectory of projectile is quadratic in y and linear in x. Reason :y component of independent of x-component.

Assertion : If an object is projected from earth surface with escape velocity path of object will be parabola. Reason : When object is projected with velocity less than escape velocity from horizontal surface and greater than orbital velocity path of object will be ellipse.

A stone is moved in a horizontal circle of radius 4m by means of a string at the height of 20m above the ground. The string breaks and the particles flies off horizontally, striking the ground 10m away. The centripetal acceleration during circular motion is given by

The particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration aₚ is varying with time t as aₚ = k²rt², where k is a constant. The power delivered to particle by the force acting on it is

**Assertion:** For looping a vertical loop of radius $r$, the minimum velocity at the lowest point should be $\sqrt{5gr}$. **Reason:** In this even the velocity at the highest point will be zero.

If $\vec{A}$ and $\vec{B}$ are non-zero vectors which obey the relation $|\vec{A}$ + $\vec{B}|$ = $|\vec{A}$ - $\vec{B}|$, then the angle between them is

A particle is projected from the ground with an initial speed of 'v' at angle θ with horizontal. The average velocity of the particle between its point of projection and height point of trajectory is

If a vector 2î+3ĵ+8k̂ is perpendicular to the vector 4î−Âĵ+a k̂, then value of α is

Two projectiles of same mass have their maximum kinetic energies in ratio 4 : 1 and ratio of their maximum heights is also 4 : 1 then what is the ratio of their ranges?

Assertion : Two balls of different masses are thrown vertically upward with same speed. They will pass through their point of projection in the downward direction with the same speed. Reason : The maximum height and downward velocity attained at the point of projection are independent of the mass of the ball.

Assertion : In javelin throw, the athlete throws the projectile at an angle slightly more than 45°. Reason : The maximum range does not depend upon angle of projection.

A body is projected horizontally with a velocity of √(2gℓ) m/sec. The velocity of the body after 0.7 seconds will be nearly (Take g = 10 m/sec²)

Assertion : Generally the path of a projectile from the earth is parabolic but it is elliptical for projectiles going to a very great height. Reason : Up to ordinary height the projectile moves under a uniform gravitational force, but for great heights, projectile moves under a variable force.

Assertion : When the velocity of projection of a body is made n times, its time of flight becomes n times. Reason : Range of projectile does not depend on the initial velocity of a body.

At the uppermost point of a projectile, its velocity and acceleration are at an angle of