Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app

BITSAT 2024Paper 2

Exam: BITSAT
Year: 2024
Paper: Paper 2
Subject: Physics
Chapter: Motion in Two Dimensions

BITSAT 2024 · Paper 2 · Physics · Motion in Two Dimensions

A particle of mass m is projected with a velocity ' u ' making an...

A particle of mass

m

is projected with a velocity '

u

' making an angle of

30^{{}^{\circ}}

with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height

h

is:

Options

A $\frac{\sqrt{3}}{16} \frac{\mathrm{mu}^3}{\mathrm{ g}}$
B $\frac{\sqrt{3}}{2} \frac{\mathrm{mu}^2}{\mathrm{ g}}$
C $\frac{\mathrm{mu}^3}{\sqrt{2} \mathrm{ g}}$
Dzero

Correct answer

A. $\frac{\sqrt{3}}{16} \frac{\mathrm{mu}^3}{\mathrm{ g}}$

Step-by-step solution

Angular momentum,

L=m v H=m u \cos 30 H=m u \cos 30^{{}^{\circ}} \times \frac{u^2 \sin ^2 \theta}{2 g}\left[\because H=\frac{u^2 \sin ^2 \theta}{2 g}\right]=\frac{m u^3}{2 g} \times \frac{\sqrt{3}}{2} \times\left(\frac{1}{2}\right)^2=\frac{\sqrt{3} m u^3}{16 g}

Practice Motion in Two Dimensions on Quantrex Academy →

More from Motion in Two Dimensions

A projectile is projected with velocity of 40 m / s at an angle θ with the horizontal. If… BITSAT 2024 A rigid body rotates about a fixed axis with variable angular velocity equal to α-β t… BITSAT 2024 The range of the projectile projected at an angle of 15^ ^ ∘ with horizontal is 50 m. If… BITSAT 2024 A body is thrown with a velocity of 9.8 ms making an angle of 30^ ^ ∘ with the… BITSAT 2024 A projectile is projected at 30^ ^ ∘ from horizontal with initial velocity 40 ms^ -1 .… BITSAT 2023 A projectile is projected with the velocity of (3 i +4 j ) m / s . The horizontal range… BITSAT 2022 A gun fires two bullets at 60^ ^ ∘ and 30^ ^ ∘ with horizontal. The bullets strike at… BITSAT 2021 A projectile A is thrown at an angle of 30^ ^ ∘ to the horizontal from point P. At the… BITSAT 2020 Full Motion in Two Dimensions list All BITSAT PYQs