\(\mathrm{A} \rightarrow \mathrm{f} \quad\) Spinning top rotates about its own axis. \(\mathrm{B} \rightarrow \mathrm{g} \quad\) Coin moves in a straight path over a carrom board. \(\mathrm{C} \rightarrow \mathrm{a} \quad\) A vehicle moving on a fly-over bridge undergoes curvilinear motion. \(\mathrm{D} \rightarrow \mathrm{e} \quad\) We know, a \(=\frac{\mathrm{v}-\mathrm{u}}{\mathrm{t}} \Rightarrow \mathrm{t}=\frac{\mathrm{v}-\mathrm{u}}{\mathrm{a}}\) \(\mathrm{E} \rightarrow \mathrm{c} \quad\) Distance-time graph of a body moving with constant speed is a straight line. \(\mathrm{F} \rightarrow \mathrm{b} \quad\) One oscillation means one to-and-for motion of a body. \(\mathrm{G} \rightarrow \mathrm{d} \quad\) The length of a seconds pendulum is \(100 \mathrm{~cm}\) (or) \(1 \mathrm{~m} .\)

Short Answer

Expert verified
Question: Match the given statements to the correct statements descriptions that correspond with the assigned letters. A. Rotational motion B. Linear motion on a carrom board C. Motion of a vehicle on a curved path D. Formula for determining time taken for a body in motion E. Graphical representation of a body moving at constant speed F. Term used to describe to-and-fro motion of a body in a periodic system G. Fact about the standard length of a seconds pendulum

Step by step solution

01

Analyze the given statements

First, read through each statement to understand the context and determine which of the descriptions match best. A. The spinning top rotates about its own axis - This statement describes a kind of motion involved. B. The coin moves in a straight path over a carrom board - This statement is about the motion of a coin. C. A vehicle moving on a fly-over bridge undergoes curvilinear motion - This describes a type of motion in context with a vehicle. D. We know, a = (v-u)/t => t = (v-u)/a - This is a formula describing motion. E. Distance-time graph of a body moving with constant speed is a straight line - This describes a relationship between distance and time in motion. F. One oscillation means one to-and-for motion of a body - This defines a term related to motion. G. The length of a seconds pendulum is 100 cm (or) 1 m - This is a fact about pendulum length.
02

Match the given statements to the correct descriptions

Now, match the given statements to the correct descriptions that correspond with the assigned letters: A → f: The spinning top rotates about its own axis: This describes a type of motion, specifically rotational motion. B → g: The coin moves in a straight path over a carrom board: This statement describes the linear motion of a coin on a carrom board. C → a: A vehicle moving on a fly-over bridge undergoes curvilinear motion: This statement is about the motion of a vehicle on a curved path. D → e: We know, a = (v-u)/t => t = (v-u)/a: This statement provides a formula for determining the time taken for a body in motion. E → c: Distance-time graph of a body moving with constant speed is a straight line: This statement describes the graphical representation of a body moving at constant speed. F → b: One oscillation means one to-and-for motion of a body: This statement defines a term used to describe to-and-fro motion of a body in a periodic system. G → d: The length of a seconds pendulum is 100 cm (or) 1 m: This statement provides a fact about the standard length of a seconds pendulum.

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Most popular questions from this chapter

We know, \(\mathrm{T}=2 \pi \sqrt{\frac{l}{\mathrm{~g}}}\) The time period of seconds pendulum, \(\mathrm{T}_{1}=2 \mathrm{~s}\) The length of the second pendulum \(\ell_{1}=100 \mathrm{~cm}=1 \mathrm{~m}\) Now, the new length of the pendulum \(\ell_{2}=2 \ell_{1}\) \(\Rightarrow \ell_{2}=200 \mathrm{~cm}=2 \mathrm{~m}\) Let the new time period of the pendulum be \(=\mathrm{T}_{2}\) \(\Rightarrow \mathrm{T} \alpha \sqrt{l}\) \(\Rightarrow \frac{\mathrm{T}_{1}}{\mathrm{~T}_{2}}=\sqrt{\frac{l_{1}}{l_{2}}} \Rightarrow \mathrm{T}_{2}=\mathrm{T}_{1} \sqrt{\frac{l_{2}}{l_{1}}}\) \(\mathrm{T}_{2}=2 \times \sqrt{\frac{2 l_{1}}{l_{1}}}=2 \sqrt{2} \mathrm{~s}\) The time period becomes \(2 \sqrt{2}\) times the original one.

Odometer is used to find the distance travelled by the vehicle and speedometer is used to find the speed of the vehicle.

The average distance per unit time, when the body is moving with variable speed, is called average speed, Average speed \(=\frac{\text { Total distance travelled }}{\text { Total time taken }}\)

To mark a point for set of values \((1,5)\), look for 1 s on X-axis. Draw a line parallel to Y-axis and passing through this point. Look for \(5 \mathrm{~m}\) on the Y-axis and draw a line parallel to the X-axis passing through this point. The point of intersection gives the point that represents \((1,5) .\) In the same way, the points for other set of values can be plotted, as shown in the figure. (i) Join all the points. It is a straight line. The straight line is the distance-time graph for the motion of the motorbike. (ii) The distance-time graph of a body moving with a constant speed is a straight line. However, if the body does not move with constant speed, then its distance-time graph cannot be a straight line.

\(\mathrm{A} \rightarrow \mathrm{c} \quad\) The motion of a shell fired from artillery gun is curvilinear. \(\mathrm{B} \rightarrow \mathrm{d} \quad\) A stone dropped from a tower moves vertically downwards. It is in rectilinear motion. \(\mathrm{C} \rightarrow \mathrm{b} \quad\) The wings of a ceiling fan undergo rotatory motion. \(\mathrm{D} \rightarrow \mathrm{g} \quad\) Acceleration, \(\mathrm{a}=\frac{\mathrm{v}-\mathrm{u}}{\mathrm{If}}\) body moves with uniform velocity, then \(\mathrm{v}=\mathrm{u} \Rightarrow \mathrm{a}=0 .\)

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