Advertisements
Advertisements
Question
Read the statement below carefully and state, with reason and example, if it is true or false:
A scalar quantity is one that must be dimensionless.
Options
True
False
Solution
This statement is False.
Explanation:
There are numerous scalar quantities that are not dimensionless. For example, scalar quantities like mass, density, and charge all have dimensions.
APPEARS IN
RELATED QUESTIONS
Pick out the only vector quantity in the following list:
Read the statement below carefully and state with reason, if it is true or false:
The average speed of a particle (defined as total path length divided by the time taken to cover the path) is either greater or equal to the magnitude of average velocity of the particle over the same interval of time.
Read statement below carefully and state, with reasons and examples, if it is true or false:
A scalar quantity is one that has the same value for observers with different orientations of axes
Read the statement below carefully and state, with reason and example, if it is true or false:
A scalar quantity is one that does not vary from one point to another in space.
The angle between A = `hati` + `hatj` and B = `hati` − `hatj` is ______.
Consider the quantities, pressure, power, energy, impulse, gravitational potential, electrical charge, temperature, area. Out of these, the only vector quantities are ______.
Following are four differrent relations about displacement, velocity and acceleration for the motion of a particle in general. Choose the incorrect one (s):
- `v_(av) = 1/2 [v(t_1) + v(t_2)]`
- `v_(av) = (r(t_2) - r(t_1))/(t_2 - t_1)`
- `r = 1/2 (v(t_2) - v(t_1))(t_2 - t_1)`
- `a_(av) = (v(t_2) - v(t_1))/(t_2 - t_1)`
If |A| = 2 and |B| = 4, then match the relations in column I with the angle θ between A and B in column II.
Column I | Column II |
(a) A.B = 0 | (i) θ = 0 |
(b) A.B = + 8 | (ii) θ = 90° |
(c) A.B = 4 | (iii) θ = 180° |
(d) A.B = – 8 | (iv) θ = 60° |
The magnitude of vectors `vec"A"`, `vec"B"` and `vec"C"` are respectively 12, 5 and 13 units and `vec"A"` + `vec"B"` = `vec"C"`, then the angle between `vec"A"` and `vec"B"` is ______.
A force `vec"F"=(hat"i"+2hat"j"+3hat"k")`N acts at a point `(4hat"i"+3hat"j"-hat"k")`m. Then the magnitude of torque about the point `(hat"i" + 2hat"j" + hat"k")` m will be `sqrtx` N-m. The value of x is ______.