The displacement x of a particle varies with time according to the relation x=\(\frac { a }{ b } \)(1-e^-bt). Then

1

(a)

At t =\(\frac { 1 }{ b } \) , the displacement of the particle is nearly (2/3) (a/b).

(b)

The particle cannot reach a point at a distance x from its starting position if x> a/ b.

(c)

The velocity and acceleration of the particle at t = 0 are a and - ab respectively.

(d)

The particle will come back to its starting point as t ⇾∞.

Which of the following is not a vector quantity?

1

(a)

acceleration

(b)

velocity

(c)

speed

(d)

displacement

When the distance travelled by a body is directly proportional to the time, the body is said to have a

1

(a)

zero speed

(b)

uniform acceleration

(c)

zero velocity

(d)

uniform speed

In case of a moving body

1

(a)

displacement > distance

(b)

displacement < distance

(c)

displacement ≥ distance

(d)

displacement ≤ distance

Identify one dimensional motion out of the following:

1

(a)

A honey bee dancing in air

(b)

A teacher writing on a blackboard

(c)

A scooterist speeding on a level road

(d)

A kite flying in sky.

What is the condition for an object to be considered as a point object?

1

(a)

An object can be considered as a point object if the distance travelled by it is very large than its size.

Can a tumbling beaker that has slipped off the edge of a table considered as a point object?

1

(a)

No, because the size of the beaker is not negligible as compared to the height of the table.

Does the displacement of an object depend on the choice of the postion of origin of the coordinate system?

1

(a)

No, the displacement of the objects does not depend on the choice of the position of the origin.

For which condition, the distance and the magnitude of displacement of an object have the same values?

1

(a)

The distance and the magnitude of displacement of an object have the same values, when the body is moving along a straight line path in a fixed direction.

Position-time graph could have negative slope Is it true or false?

1

(a)

It is true because if the velocity of the object is negative, then slope of v-t graph is negative.