1. A unit of time sometimes used in microscopic physics is the shake. One
1.10 EXERCISES of seconds in a \( 10^{-8} \mathrm{sec} \). compare the number. shake is 10 year, which is more?
2. State the definition of the following terms and horio
nine their SI units.
i. Moment of Inertia
ii. Potential energy
iii. Work
iv. Pressure
3. What is the unit of the quantily whose dimension is \( \mathrm{ML}^{-1} \mathrm{~T}^{2} \)
Ans. \( \mathrm{Kg} \mathrm{m}^{-1} \mathrm{~s}^{-2} \)
The quantity of heat that raises the temperature of a substance by \( \theta^{\circ} \mathrm{C} \) is specific heal given by \( \mathrm{Q}=\mathrm{mc} 0 \) where m is mass of the \( \mathrm{Ans}^{\prime} \mathrm{Kg}^{\prime} \mathrm{K}^{\prime} \)
The velocity \( y \) of the transverse wave in a plucked stretched string depends capacity. Derive the unit of \( c \).
string, its length, \( l \), and its mass, \( m \). Use dimensional on the tension, \( T \), in relation for \( v \). Take the value of the constant as 1.0 . analysis to find
7. The magnitude of the coefficient of viscosily of a Auid is given by the definition is right.
\[
\eta=P A^{-1}(\Delta v)^{-1}
\]
where \( F \) is the force in Newtons ( \( N \) ), \( A \) is the area in square metres ( \( \mathrm{m}^{2} \) ) and \( \Delta v \) is velocity gradient in per second \( \left(s^{-1}\right) \). Determine the dimension and unit moving body and the force applied to it . Use dimensional analysis to check if il of n . Ans. \( |n|=M L^{-1} T^{-1} \) / Unit \( =\mathrm{kg} \mathrm{m}^{-1} \mathrm{~s}^{-1} \)