**1.** A branch of physics dealing with motion without considering its causes is known as

**2.** Mechanics is a branch of physics. This branch is

**A.** Kinematics without dynamics

**B.** Dynamics without Kinematics

**C.** Kinematics and dynamics

**D.** Kinematics or dynamics

**Answer :** Option C

**3.** To locate the position of the particle we need

**A.** A frame of reference

**B.** Direction of the particle

**C.** Size of the particle

**D.** Mass of the particle

**Answer :** Option A

**4.** Frame of reference is a _____ and a _____ from where an observer takes his observation,

**A.** Place, Size

**B.** Size, Situation

**C.** Situation, Size

**D.** Place, Situation

**Answer :** Option D

**5.**

As shown in the figure a particle moves from 0 to A, and then A to B. Find path length and displacement.

**6.**

A particle moves from A to B and then it moves from B to C as shown in figure. Calculate the ratio between path lenghth and displacement.

**7.**

A particle moves from A to P and then it moves from P to B as shown in the figure. Find path length and dispalcement.

**A.** \(\frac{2e}{\sqrt{3}} ,e\)

**B.** \(\frac{e}{\sqrt{3}} ,e\)

**C.** \(2e,e\)

**D.** \(e,\frac{2e}{\sqrt{3}} \)

**Answer :** Option A

**8.** A car goes from one end to the other end of a semicircular path of diameter ‘d’. Find the ratio between path length and displacement.

**A.** \(\frac{3\pi }{\sqrt{2}}\)

**B.** \(\pi \)

**C.** \(2\)

**D.** \(\frac{\pi }{\sqrt{2}}\)

**Answer :** Option D

**9.** A particle goes from point A to B. Its displacement is X and path length is y. So \(\frac{x}{y}\)

**A.** \( > 1\)

**B.** \( < 1\)

**C.** \( \geqslant 1\)

**D.** \(\leqslant 1\)

**Answer :** Option C

**Explanation :**

Path length is always greater or equal to displacement

**10.**

As shown in the figure a partricle statrs its motion from O to A. And then it moves from A to B. \(\overline{AB}\) is an arc find the Path length

**A.** \(2r\)

**B.** \(r+\frac{\pi }{3}\)

**C.** \(r\left ( 1+\frac{\pi }{3} \right )\)

**D.** \(\frac{\pi }{3}(r+1)\)

**Answer :** Option C