Class 11 Physics Allen Major Test: Kinematics, Laws of Motion, Work and Energy, Rotation
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Questions and Answers

If a particle moves along a straight line with a constant acceleration, and its initial velocity is 4 m/s and final velocity is 16 m/s, covering a distance of 144 m in 6 seconds, what is its acceleration?

  • 2 m/s²
  • 8 m/s²
  • 4 m/s² (correct)
  • 6 m/s²

    • A car traveling at 30 m/s decelerates uniformly to a stop in 10 seconds. What is the deceleration of the car?

  • 10 m/s²
  • 7 m/s²
  • 3 m/s² (correct)
  • 5 m/s²

    • In a collision, a 2000-kg truck moving at 20 m/s collides with a stationary 500-kg car. After the collision, the truck moves at 10 m/s in the opposite direction. What is the final velocity of the car after the collision?

  • 20 m/s
  • -20 m/s (correct)
  • 10 m/s
  • -10 m/s

    • A stone is thrown upward with an initial velocity of 30 m/s. How high does it go before falling back down?

    <p>90 m</p> Signup and view all the answers

    A block of mass 2 kg is placed on a rough horizontal surface with a coefficient of friction $\mu = 0.2$. A force of 10 N is applied horizontally. What is the acceleration of the block?

    <p>$0.5 , \text{m/s}^2$</p> Signup and view all the answers

    A wheel of radius 0.5 meters starts from rest and rolls down an incline making an angle of 30 degrees with the horizontal. If the wheel moves 5 meters down the incline, what is its final velocity?

    <p>$9 , \text{m/s}$</p> Signup and view all the answers

    What is the power required for a 1000-kg car to climb a hill with a gradient of 12°, taking 30 seconds to climb a 200-meter long hill?

    <p>25 kW</p> Signup and view all the answers

    When a spring with a spring constant of 500 N/m is compressed by 0.2 m, what is the energy stored in the spring?

    <p>150 J</p> Signup and view all the answers

    For an object dropped from a height of 100 m, what is its kinetic energy when it reaches the ground?

    <p>980 J</p> Signup and view all the answers

    A car wheel with a radius of 0.5 m rotates at 50 rpm. What is the linear velocity of a point on the rim?

    <p>$2\pi$ m/s</p> Signup and view all the answers

    If a rotator's angular velocity changes from 10 rad/s to 20 rad/s in 2 seconds, what is its angular acceleration?

    <p>2 rad/s^2</p> Signup and view all the answers

    During upward motion, what happens to the force acting on a stone?

    <p>It decreases</p> Signup and view all the answers

    Study Notes

    Class 11 Physics Allen Major Test Questions

    The Allen Major Test is a highly respected and challenging assessment for students in India, particularly in the field of Physics. As a Class 11 student preparing for this exam, your familiarity with key concepts becomes crucial. Let's explore some questions based on the subtopics of Kinematics, Laws of Motion, Work and Energy, and Rotation.

    Kinematics

    1. A particle moves along a straight line with constant acceleration. If its initial velocity is 5 m/s and final velocity is 10 m/s, and it covers a distance of 100 m in 10 seconds, find its acceleration.

    2. A car is moving with a speed of 25 m/s and then applies brakes to come to a stop after covering a distance of 100 m. Calculate its deceleration.

    3. A ball is thrown vertically upwards with an initial velocity of 40 m/s. Find the time taken to reach its maximum height and its velocity at maximum height.

    Laws of Motion

    1. A 1000-kg truck moving with a velocity of 30 m/s collides with a stationary 100-kg car. The trucks stops instantly after the collision, and the car experiences an acceleration of 10 m/s². Calculate the force exerted by the truck on the car.

    2. A 500-g block is placed on a frictionless incline, and a force of 200 N is applied perpendicular to the incline to keep it at an angle of 30° with the horizontal. Calculate the force of friction required to keep the block from slipping downwards.

    3. A 2-kg stone is thrown vertically upwards with an initial velocity of 20 m/s. Determine the force acting on the stone during its upward motion.

    Work and Energy

    1. A 1000-kg car is climbing a hill with a gradient of 12°. The car takes 30 seconds to climb a 200-meter long hill. Calculate the power required to climb the hill.

    2. A spring is compressed 0.2 m and then released. The spring constant of the spring is 500 N/m. Calculate the energy stored in the spring when it is compressed 0.2 m.

    3. An object is dropped from a height of 100 m. Determine the kinetic energy of the object when it reaches the ground.

    Rotation

    1. A car wheel of radius 0.5 m rotates at a constant velocity of 50 rpm. Calculate the linear velocity and angular velocity of a point on the rim.

    2. A rotator's angular velocity changes from 10 rad/s to 20 rad/s in 2 seconds. Calculate the angular acceleration of the rotator.

    These questions are designed to challenge your understanding of fundamental concepts in Class 11 Physics. By practicing and honing your skills with these questions, you will be better equipped to tackle the Allen Major Test and other challenging assessments in the future. Remember, understanding the principles and working through problems is key to success in Physics.

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    Description

    Prepare for the challenging Allen Major Test in Physics with this quiz focusing on Kinematics, Laws of Motion, Work and Energy, and Rotation. Test your understanding with questions covering acceleration, deceleration, forces, energy calculations, and rotational motion.

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