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 can never take negative values.
Options
True
False
Solution
This statement is False.
Explanation:
A scalar quantity can take negative, zero, or positive values; for example, the temperature of an object is a scalar quantity, which can be positive, zero, or negative.
APPEARS IN
RELATED QUESTIONS
State, for each of the following physical quantities, if it is a scalar or a vector: volume, mass, speed, acceleration, density, number of moles, velocity, angular frequency, displacement, angular velocity.
State with reasons, whether the following algebraic operations with scalar and vector physical quantities are meaningful:
- adding any two scalars,
- adding a scalar to a vector of the same dimensions,
- multiplying any vector by any scalar,
- multiplying any two scalars,
- adding any two vectors,
- adding a component of a vector to the same vector.
Read the statement below carefully and state with reason, if it is true or false:
The magnitude of a vector is always a scalar.
Read the statement below carefully and state with reason, if it is true or false:
The total path length is always equal to the magnitude of the displacement vector of a particle.
A vector has magnitude and direction. Does it have a location in space? Can it vary with time? Will two equal vectors a and b at different locations in space necessarily have identical physical effects? Give examples in support of your answer.
Can you associate vectors with (a) the length of a wire bent into a loop, (b) a plane area, (c) a sphere? Explain.
Consider the quantities, pressure, power, energy, impulse, gravitational potential, electrical charge, temperature, area. Out of these, the only vector quantities are ______.
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° |
If the projection of `2hat"i"+4hat"j"-2hat"k"` on `hat"i"+ 2hat"j"+alphahat"k"` is zero. Then, the value of α will be ______.
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 ______.
