Geometry: Basic Definitions

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Questions and Answers

What is the dimensional formula for a light-year?

  • T
  • L (correct)
  • T
  • L

Which physical quantity does the dimensional formula [MLT] represent?

  • Power
  • Gravitational Constant (correct)
  • Energy
  • Force

Which of the following is NOT considered a fundamental quantity?

  • Force (correct)
  • Time
  • Mass
  • Length

If the distance covered by an object is zero, what can be said about its displacement?

<p>May or may not be zero (B)</p> Signup and view all the answers

A car travels at a constant speed of 20 m/s for 10 seconds. What is its acceleration?

<p>0 m/s (B)</p> Signup and view all the answers

What is the SI unit of luminous intensity?

<p>Candela (A)</p> Signup and view all the answers

Which method is most suitable to increase the accuracy while measuring the diameter of a wire?

<p>Using a screw gauge (A)</p> Signup and view all the answers

In projectile motion, what is the angle at which the range is maximum for a given velocity?

<p>45 degrees (B)</p> Signup and view all the answers

Newton's first law of motion is also known as:

<p>Law of Inertia (A)</p> Signup and view all the answers

A body of mass 2 kg is moving with an acceleration of 5 m/s. What is the force acting on it?

<p>10 N (D)</p> Signup and view all the answers

What remains constant during a projectile motion if air resistance is neglected?

<p>Horizontal component of velocity (A)</p> Signup and view all the answers

The area under a velocity-time graph represents:

<p>Displacement (B)</p> Signup and view all the answers

What physical quantity is represented by the slope of a position-time graph?

<p>Velocity (C)</p> Signup and view all the answers

Which of the following is a scalar quantity?

<p>Speed (D)</p> Signup and view all the answers

What is the angle between two vectors if their dot product is zero?

<p>90 degrees (D)</p> Signup and view all the answers

Which of the following is a necessary condition for the law of conservation of momentum to be applicable?

<p>No external force acting on the system (D)</p> Signup and view all the answers

A ball is thrown vertically upwards. What is its velocity at the highest point?

<p>Zero (D)</p> Signup and view all the answers

If vector A = 2i + 3j and vector B = 4i - 2j, what is the magnitude of the resultant vector A + B?

<p>$\sqrt{37}$ (D)</p> Signup and view all the answers

What is the dimensional formula for pressure?

<p>MLT (B)</p> Signup and view all the answers

Which of the following units is equivalent to a Newton?

<p>kgm/s (D)</p> Signup and view all the answers

Flashcards

Light Year Dimensional Formula

The dimensional formula for a light year is [L], representing length.

Dimensional Formula [M^-1 L^3 T^-2]

The dimensional formula [M^-1 L^3 T^-2] refers to the gravitational constant (G).

Not a Fundamental Quantity

Force is not a fundamental quantity; it's derived from mass, length, and time (F=ma).

Zero Distance, Zero Displacement

If the distance covered is zero, the displacement must be zero.

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Study Notes

Undefined Terms

  • A point possesses no size, only a specific location.
  • A line extends infinitely in length but has no width or thickness.
  • A plane extends infinitely in both length and width, lacking any thickness.

Definitions

  • An angle is created when two rays share a common endpoint.
  • A right angle is exactly $90^\circ$.
  • An acute angle is less than $90^\circ$.
  • An obtuse angle is more than $90^\circ$ but less than $180^\circ$
  • A straight angle is exactly $180^\circ$.
  • Perpendicular lines intersect, making right angles.
  • Parallel lines exist on the same plane and will not intersect.
  • A polygon is a closed shape with at least 3 line segments.
  • A triangle is a three-sided polygon.
  • A quadrilateral is a four-sided polygon.
  • A pentagon is a five-sided polygon.
  • A hexagon is a six-sided polygon.
  • A heptagon is a seven-sided polygon.
  • An octagon is an eight-sided polygon.

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