Which one of the following statements is true?
A scalar quantity is the one that is conserved in a process
A scalar quantity is the one that can never take negative values
A scalar quantity is the one that does not vary from one point to another in space
A scalar quantity has the same value for observers with different orientation of the axes
Figure shows the orientation of two vectors u and v in the xy-plane.
If $\mathbf{u} = a\hat{i} + b\hat{j}$ and $\mathbf{v} = p\hat{i} + q\hat{j}$
Which of the following is correct?
a and p are positive while b and q are negative
a, p and b are positive while q is negative
a, q and b are positive while p is negative
a, b, p and q are all positive
The component of a vector r along X-axis will have maximum value if
r is along positive Y-axis
r is along positive X-axis
r makes an angle of 45° with the X-axis
r is along negative Y-axis
The horizontal range of a projectile fired at an angle of 15° is 50 m. If it is fired with the same speed at an angle of 45°, its range will be
60 m
71 m
100 m
141 m
Consider the quantities, pressure, power, energy, impulse, gravitational potential, electrical charge, temperature, area. Out of these, the only vector quantities are
impulse, pressure and area
impulse and area
area and gravitational potential
impulse and pressure