The period of vibration of a tunign fork depends on the length I of its prong, density d and Young's modulus Y of the meterial. Deduce an expression for the period of vibration (T) using dimensional analysis.

Expermients show that frequency (n) of a tuning fork depends on lentght (I) fo the prong, density (d) and the Young's modulus (Y) of its meterial. On the basis of dimensional analysis, dericve an expression for frequency of tunnig fork.

The frequency of vibration of string depends on the length L between the nodes, the tension F in the string and its mass per unit length m. Guess the expression for its frequency from dimensional analysis.

The time period (t) of vibration of a liquid drop depends on surface tension (s),radius ( r) of the drop and density (rho) of the liquid .Find t.

If the time period (T) of vibration of a liquid drop depends on surface tension (S) , radius ( r ) of the drop , and density ( rho ) of the liquid , then find the expression of T .

Consider a simple pendulum having a bob attached to a string that oscillates under the action of a force of gracity. Suppose that the period of oscillation of the simple pendulum depends on its length (I), mass of the bob (m) and acc. Due to gravity (g). Derive the expression for its time period using method of dimensions.

The frequency of vibration (v) of a string may depend upon length (I) of the string, tension (T) in the string and mass per unit length (m) of the string. Using the method of dimensions, derive the formula for v.

The time period Of oscillation of a simple pendulum depends on the following quantities Length of the pendulum (l), Mass of the bob (m), and Acceleration due to gravity (g) Derive an expression for Using dimensional method.

It is known that the time of revolution T of a satelite around the earth depends on the universal gravitational constant G, the mass of the earth M, and the radius of the circular orbit R. Obtain an expression for T using dimensional analysis.