Question

Chapter (1) 1. If the units of length and force be each increased four times, show that the unit of energy is increased sixteen times. 2. The frequency of vibration \( n \) of a stretched string is a function of the tension \( T \), the length 1 , and the mass per unit length \( \rho \). Prove that \( \mathrm{n} \alpha \frac{1}{l} \sqrt{ } \frac{T}{\rho} \) 3. Derive the relation which gives the frequency of vibration \( n \) of a stretched string, it depends on tension string \( T \), its length 1 , and the mass per unit \( \rho \). 4. Prove that Newton.meter \( =10^{9} \) dyne. cm 5. Define a) Newton b) Dyne c) Pascal d) Watt 6. Draw the dimensions of: a) Energy b) Work Apply the dimensional analysis to convert 1 Joule into Eng. 7. Deduce the expression which gives \( F \) whereas liquid force appear a small sphere falling through the liquid if in coefficient of variability of the liquid, \( r \) reduction of the falling sphere, \( v \) velocity of the falling sphere.

          Chapter (1)
1. If the units of length and force be each increased four times, show that the unit of energy is increased sixteen times.
2. The frequency of vibration \( n \) of a stretched string is a function of the tension \( T \), the length 1 , and the mass per unit length \( \rho \). Prove that \( \mathrm{n} \alpha \frac{1}{l} \sqrt{ } \frac{T}{\rho} \)
3. Derive the relation which gives the frequency of vibration \( n \) of a stretched string, it depends on tension string \( T \), its length 1 , and the mass per unit \( \rho \).
4. Prove that Newton.meter \( =10^{9} \) dyne. cm
5. Define
a) Newton
b) Dyne
c) Pascal
d) Watt
6. Draw the dimensions of:
a) Energy
b) Work

Apply the dimensional analysis to convert 1 Joule into Eng.
7. Deduce the expression which gives \( F \) whereas liquid force appear a small sphere falling through the liquid if in coefficient of variability of the liquid, \( r \) reduction of the falling sphere, \( v \) velocity of the falling sphere.

Chapter (1)
1. If the units of length and force be each increased four times, show that the unit of energy is increased sixteen times.
2. The frequency of vibration n of a stretched string is a function of the tension T, the length 1 , and the mass per unit length ρ. Prove that nα(1)/(l)√()(T)/(ρ)
3. Derive the relation which gives the frequency of vibration n of a stretched string, it depends on tension string T, its length 1 , and the mass per unit ρ.
4. Prove that Newton.meter =10^9 dyne. cm
5. Define
a) Newton
b) Dyne
c) Pascal
d) Watt
6. Draw the dimensions of:
a) Energy
b) Work

Apply the dimensional analysis to convert 1 Joule into Eng.
7. Deduce the expression which gives F whereas liquid force appear a small sphere falling through the liquid if in coefficient of variability of the liquid, r reduction of the falling sphere, v velocity of the falling sphere.

Added by Darnell C.

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