Which one of the following statements is true?

1

(a)

A scalar quantity is the one that is conserved in a process

(b)

A scalar quantity is the one that can never take negative values

(c)

A scalar quantity is the one that does not vary from one point to another in space

(d)

A scalar quantity has the same value for observers with different orientation of the axes

Consider the quantities, pressure, power, energy, impulse, gravitational potential, electrical charge, temperature, area. Out of these, the only vector quantity lies is/ are

1

(a)

impulse, pressure and area

(b)

impulse

(c)

area and gravitational potential

(d)

impulse and pressure

The component of a vector r along X-axis will have maximum value if

1

(a)

r is along positive y-axis

(b)

r is along positive x-axis

(c)

r makes an angle of 45° with the x-axis

(d)

r is along negative y-axis

In a two dimensional motion, instantaneous speed V_o is a positive constant. Then, which of the following are necessarily true?

1

(a)

The acceleration of the particle is zero

(b)

The acceleration of the particle is bounded

(c)

The acceleration of the particle is necessarily in the plane of motion

(d)

The particle must be undergoing a uniform circular motion

Figure shows the orientation of two vectors u and v in the xy-plane

\(\text { If } \mathbf{u}=a \hat{\mathbf{i}}+b \hat{\mathbf{j}} \text { and } \mathbf{v}=p \hat{\mathbf{i}}+q \hat{\mathbf{j}}\) Which of the following is correct?

1

(a)

a and p are positive while band q are negative

(b)

a, p and b are positive while q is negative

(c)

a, q and b are positive while p is negative

(d)

a, b, p and q are all positive