AIIMS Physics Motion In A Straight Line Class 11 Questions

The formula for the angular momentum is, L = r⃗ × mv⃗ L = hmv cosθ …… (I) The formula for maximum height during projectile motion is,

From the equation of motion, s = ut + 1/2 at² The above represents parabola. Thus, the displacement graph is parabola.

The expression of the acceleration of electron is, a = v²/r. Substitute values, a = (2.18×10⁶)² / 0.528×10⁻¹⁰ = 9×10²² m/s²

The slope is equal to \( \frac{1}{n} = \frac{1}{5} = 0.2 \)

A ball is dropped from a bridge 122.5 m above a river. After the ball has been falling for 2s, a second ball is thrown straight down after it. What must the initial velocity of the second ball be so that both hit the water at the same time?

Given equation of motion is, x = 8 + 12t - t³. The expression of velocity is, v = dx/dt = 0 + 12 - 3t². The velocity will be zero at 12 - 3t² = 0 ⇒ t = 2 sec. The acceleration is a = dv/dt = 0 - 6t. At t = 2 sec, the acceleration is aₜ₌₂ = -6(2) = -12 m/s². Thus, the retardation is 12 m/s².

The equation of motion for first drop, S = ut + 1/2 gt². 5 = (0)t + 1/2 (10)t². t = 1. It means each drop leaves after every 0.5 sec. The distance covered by the second drop in 0.5 Sec is, S = (0)(0.5) + 1/2 (10)(0.5)² = 1.25 m.

A particle experiences constant acceleration for 20 sec after starting from rest. If it travels a distance s₁ in the first 10 sec and distance s₂ in the next 10 sec, then

Determine the height above the dashed line $XX'$ attained by the water stream coming out through the hole situated at point B in the diagram given below. Given that $h = 10\text{ m}$, $L = 2\text{ m}$ and $d = 30^\circ$.

A ball is dropped from a bridge 122.5 m above a river. After the ball has been falling for 2s, a second ball is thrown straight down after it. What must the initial velocity of the second ball be so that both hit the water at the same time?

The position of a particle moving in the x-y plane at any time t is given by: x = (3t² - 6t) metres; y = (t² - 2t) metres. Select the correct statement.

Which of the following velocity-time graphs shows a realistic situation for a body in motion?

Two spheres of same size, one of mass 2 kg and another of mass 4 kg are dropped simultaneously from the top of Qutab Minar (height = 72 m). When they are 1 m above the ground the two spheres have the same

When a ball is thrown up vertically with velocity v₀, it reaches a maximum height of h. If one wishes to triple the maximum height then the ball should be thrown with velocity

Which of the following velocity-time graphs shows a realistic situation for a body in motion?

Assertion : The driver in a vehicle moving with a constant speed on a straight road is in a non-inertial frame of reference. Reason : A reference frame in which Newton’s laws of motion are applicable is non-inertial.

A body starting from rest moves along a straight line with a constant acceleration. The variation of speed (v) with distance (s) is represented by the graph

A ball is thrown vertically upwards. Which of the following plots represents the speed-time graph of the ball during its flight if air resistance is not ignored?

A particle starts from rest and has an acceleration of 2 m/s² for 10 sec. After that, it travels for 30 sec with constant speed and then undergoes a retardation of 4 m/s² and comes back to rest. The total distance covered by the particle is

The kinetic energy of a body becomes four times its initial value. The new linear momentum will be

If one comes to rest and the other body moves with velocity v, what would be the value of v?

From the figure find the capacitance of the capacitor?