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Questions and Answers
A boy travels a circular distance of radius R, starting from point A and moving to point B. What is the ratio of the distance travelled to the displacement made by him?
A boy travels a circular distance of radius R, starting from point A and moving to point B. What is the ratio of the distance travelled to the displacement made by him?
- 2π
- 4π
- π/2 (correct)
- π
What is the unit of velocity?
What is the unit of velocity?
- kilogram
- metre
- m/s (correct)
- second
If the position of a particle is given by x = (4t² – 8t), what is true about its velocity and acceleration at t = 0?
If the position of a particle is given by x = (4t² – 8t), what is true about its velocity and acceleration at t = 0?
- Velocity is zero, acceleration is non-zero (correct)
- Both velocity and acceleration are zero
- Velocity is zero, acceleration is zero
- Acceleration is zero, velocity is non-zero
A body moves with an acceleration of 2 m/s². If its velocity is 10 m/s after t seconds, what is the value of t?
A body moves with an acceleration of 2 m/s². If its velocity is 10 m/s after t seconds, what is the value of t?
What is the speed of a boy who travels 3 km to a point B and returns to A in 2 hours?
What is the speed of a boy who travels 3 km to a point B and returns to A in 2 hours?
What is the unit of kinetic energy?
What is the unit of kinetic energy?
Which option represents the smallest value that can be measured using an instrument?
Which option represents the smallest value that can be measured using an instrument?
What is the numerical ratio of displacement to distance for a moving object?
What is the numerical ratio of displacement to distance for a moving object?
What does the area under velocity-time curve over a given interval of time represent?
What does the area under velocity-time curve over a given interval of time represent?
What is the acceleration of a body that starts from rest and travels for t seconds?
What is the acceleration of a body that starts from rest and travels for t seconds?
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Study Notes
Units and Dimensions
- A unit of time is a year.
- The supplementary unit is a solid angle, and its dimension is [L²].
Measurement and Instruments
- The smallest value measured using an instrument is known as the least count.
- The least count is a key aspect of measurement.
Kinetic Energy
- The dimension of kinetic energy is [ML²T⁻²].
Forces and Dimensions
- The dimensions of 'a' and 'b' in the force equation F = at + bt² are MLT⁻¹ and MLT⁻², respectively.
Significant Figures
- The numerical value with three significant figures is 5.055.
- The number of significant figures for the numbers 23.023, 0.0003, and 2.1×10⁻³ are 5, 5, and 2, respectively.
Motion and Displacement
- The numerical ratio of displacement to distance for a moving object is always less than or equal to 1.
- The area under the velocity-time curve over a given interval of time represents displacement.
- A body starts from rest and travels with uniform acceleration; the time of travel can be calculated using the displacement and acceleration.
Circular Motion
- A boy moves on a circular distance of radius R; the ratio of the distance traveled to the displacement made by him is π.
Position and Velocity
- The position of a particle is given by x = (4t² – 8t); the velocity and acceleration can be calculated from this equation.
- The velocity and acceleration can be zero at certain times.
Speed and Velocity
- The unit of velocity is m/s.
- The speed of a boy traveling from A to B and returning to A can be calculated using the total distance and time.
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