11th Physics MCQs Preparation 2022 and Onwards (Unit: Rotational and Circular Motion: Set-1 (31 MCQs)) for National MDCAT, ECAT, FPSC, PPSC, JOB Exam, Physics Lecturer, SSC, HSSC (F.Sc.), BS, MS Exams NTS, ETS ETc..
1. 85.95° degree in terms of a radian is
57.3° = 1 rad or 1° = 0.01745 rad
2. What is the circumference of a circle, having a radius of 50 cm?
Circumference of circle = 2ㄫr
3. What is the angular velocity of a particle when its frequency is 50 Hz?
ധ = 2ㄫf
4. The direction of angular velocity is along;
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5. Angular speed for annual rotation of Earth in radians per day.
ധ = `\frac {Δθ}{Δt}`= `\frac {2ㄫ rad}{day}` (as Earth completes one rotation in a day)
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tanθ = `\frac {v^2}{Rg}`
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L = Iധ
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I = mr²
Angular Speed equation ω = θ/t 👉 Since Earth takes t = 24 hours for to complete 1 revolution, angle θ = 2π rad 👉 ω=(2π rad)/(24 hour) = π/12 rad/hour
`\vec a` = `\vec r` x `\vec ∝` = r∝ sin𝞱 👉 when 𝞱 = 90° 👉 a = r∝ sin 90° 👉 sin 90° = 1 👉 a = r∝
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Given: Equation for Value of g at equator g' = g - ѠR² 👉 when Ѡ = 0 (angular rotation stop) 👉 g' = g - 0 = g
Moment of inertia of sphere Is = 2/5 mr² 👉 Moment of inertia of cylinder Ic= = 1/2 mr² 👉 1/2 > 2/5 👉 Ic > Is
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👉 K.E (Rotational) = K.E (T)= 1/2 mѠ² 👉 K.E (Translational) K.E (T) = 1/2 mv² = 1/2 mr²Ѡ² = IѠ² 👉 K.E (Total) = K.E (R) + K.E (T) 👉 [K.E (R)]/[K.E (Total)] = [1/2 mѠ²] / [K.E (R) + K.E (T)] = [1/2 mѠ²] / [1/2 mѠ² + IѠ²] 👉 by solving we get [K.E (R)]/[K.E (Total)] = 1/3
ധ = `\frac {Δθ}{Δt}`= `\frac {2ㄫ rad}{day}` (as Earth completes one rotation in a day)
6. A body moves with constant angular velocity in a circle. The magnitude of angular acceleration is
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7. Banking angle does not depend upon :
tanθ = `\frac {v^2}{Rg}`
8. What will happen if the height of an orbit of a satellite from the surface of the earth is increased,
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9. What is the ratio of translational and rotational kinetic energies of a solid sphere.
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10. Angular momentum in terms of the moment of inertia is
L = Iധ
11. Which one of the following rolling bodies has 50% translational K.E and 50% rotational K.E.
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12. A solid cylinder of mass 20 kg rotates about its axis with an angular velocity of 10 m s⁻¹, and a radius of 0.2m. The moment of inertia of the cylinder is
I = mr²
13. The condition of weightlessness is (N=Normal Reaction and W is weight)
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Fc = `\frac {mv^2}{r}`
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v = `\sqrt {gR}`
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For downward motion F = T - W or W = T - ma {where F = ma}
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14. A sphere is rolling without slipping on a horizontal plane. The ratio of its rotational kinetic energy and translational kinetic energy is
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15. The frequency of artificial gravity is
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16.. A particle of mass 100 g starts its motion from rest along a circular path of radius 10 cm. If its velocity becomes 10 m s⁻¹ then its centripetal force is;
Fc = `\frac {mv^2}{r}`
17. Which one of the following is conserved when the torque acting on a system is zero? :
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18. Orbital velocity of earth's satellite near the surface is 7 km/s. If the radius of the orbit is 4 times that of Earth's radius, what will be the orbital velocity in that orbit?
v = `\sqrt {gR}`
19. When a parachutist is moving downward with uniform motion then its weight is:
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20. An object of mass 1.5 kg is suspended by a string having tension T = 5 N in a lift. When the lift is moving upward with an acceleration of 2 m s⁻¹ then its apparent weight is:
For downward motion F = T - W or W = T - ma {where F = ma}
21. The angular speed in radians/hours for the daily rotation of our earth is?
Angular Speed equation ω = θ/t 👉 Since Earth takes t = 24 hours for to complete 1 revolution, angle θ = 2π rad 👉 ω=(2π rad)/(24 hour) = π/12 rad/hour
22. Linear acceleration a = r𝛂 when '𝞱' is
`\vec a` = `\vec r` x `\vec ∝` = r∝ sin𝞱 👉 when 𝞱 = 90° 👉 a = r∝ sin 90° 👉 sin 90° = 1 👉 a = r∝
23. What is a moment of inertia of a sphere
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24. A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a horizontal plane. It follows
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25. A body moving in a circular path with constant speed has
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26. Astronauts appear weightless in space because
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27. Which one is constant for a satellite in orbit?
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28. If the earth suddenly stops rotating the value of 'g' at the equator would:
Given: Equation for Value of g at equator g' = g - ѠR² 👉 when Ѡ = 0 (angular rotation stop) 👉 g' = g - 0 = g
29. If a solid sphere and solid cylinder of the same mass and density rotate about their own axis, the moment of inertia will be greater for
Moment of inertia of sphere Is = 2/5 mr² 👉 Moment of inertia of cylinder Ic= = 1/2 mr² 👉 1/2 > 2/5 👉 Ic > Is
30. The gravitational force exerted on an astronaut on Earth's surface 600 N down. When she is in the International Space Station, the gravitational force on her is
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31. A solid cylinder of mass M and radius R rolls down an incline without slipping. Its moment of inertia is about an axis through its center of mass MR²/2. At any instant while in motion, its rotational kinetic energy about its center of mass is what fraction of its total kinetic energy?
👉 K.E (Rotational) = K.E (T)= 1/2 mѠ² 👉 K.E (Translational) K.E (T) = 1/2 mv² = 1/2 mr²Ѡ² = IѠ² 👉 K.E (Total) = K.E (R) + K.E (T) 👉 [K.E (R)]/[K.E (Total)] = [1/2 mѠ²] / [K.E (R) + K.E (T)] = [1/2 mѠ²] / [1/2 mѠ² + IѠ²] 👉 by solving we get [K.E (R)]/[K.E (Total)] = 1/3
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