Chapter 3: Problem 3
Fill in the Blanks. \(\frac{1}{1000}\) 1000 millisecond \(=1 \mathrm{~s}\) \(\Rightarrow 1\) millisecond \(=\frac{1}{1000}\) th part of a second.
Chapter 3: Problem 3
Fill in the Blanks. \(\frac{1}{1000}\) 1000 millisecond \(=1 \mathrm{~s}\) \(\Rightarrow 1\) millisecond \(=\frac{1}{1000}\) th part of a second.
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Get started for free\(\mathrm{A} \rightarrow \mathrm{f} \quad\) 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) \(1 \mathrm{~m} .\)
A simple pendulum that has time period of \(2 \mathrm{~s}\) is called seconds pendulum. Its length is approximately \(100 \mathrm{~cm}\) or \(1 \mathrm{~m} .\)
The average distance per unit time, when the body is moving with variable speed, is called average speed, Average speed \(=\frac{\text { Total distance travelled }}{\text { Total time taken }}\)
Take a metre scale and measure the length of the string from the point of suspension to the lower tip of the bob \(\left(\ell_{1}\right)\) (b). Now, place the bob over a meter scale and hold it in position with two wooden blocks or stiff cardboards and measure the diameter (D) of the bob (c). Calculate the radius \(\mathrm{R}\) of the bob by dividing diameter by 2 (a). Then the length of the pendulum \(\ell=\left(\ell_{1}-\mathrm{R}\right)(\mathrm{d})\). Consider the formula \(\mathrm{T}\) \(=2 \pi \sqrt{\frac{\ell}{\mathrm{g}}}\) and find the time period of the simple pendulum by substituting the value of \({ }^{\prime} \ell^{\prime}(\mathrm{e})\).
(a) Uniform Velocity: When a body moves with uniform speed in a specified direction, it is said to be moving with uniform velocity. Thus, a body moves with uniform velocity when its magnitude as well as its direction remains the same. Example: Aeroplane moving with \(500 \mathrm{~km} \mathrm{~h}^{-1}\) towards east. (b) Variable velocity: When a body moves such that either its magnitude or direction or both change, then it is said to be moving with variable velocity. Example: A car moving on a straight road such that its speed changes from time to time has variable velocity. A car taking turn has variable velocity as its direction changes.
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