Tension in a uniform string of length L varies with length uniformly. At one end A tension is `T_(0)` and at other end B it is `16T_(0)`. If mass per unit length of string is `mu`. Choose the correct options (s)

The mass of an uniform ladder of length l increases uniformly from one end A to the other end B, find the position of the centre of mass from end A.

A light string is tied at one end to a fixed support and to a heavy string of equal length L at the other end as shown in figure. A block of mass m is tied to the free end of heavy string. Mass per unit length of the strings are mu and 9mu and the tension is T . Find the possible values of frequencies such that junction of two wire point A is a node.

A light string is tied at one end to a fixed support and to a heavy string of equal length L at the other end as shown in figure. A block of mass m is tied to the free end of heavy string. Mass per unit length of the strings are mu and 9mu and the tension is T . Find the possible values of frequencies such that junction of two wire point A is a node.

A perfectly straight portion of a uniform rope has mass M and length L. At end A of the segment, the tension in the rope is T_(A) and at end B it is T_(B) (T_(B) gt T_(A) ) . Neglect effect of gravity and no contact force acts on the rope in between points A and B. The tension in the rope at a distance L/5 from end A is:-

A perfectly straight protion of a uniform rope has mass M and length L . At end A of the segment, the tension in the rope is T_(A) and at end B it is T_(B)(T_(B)gtT_(A) ) . Neglect effect of gravity and no contact force acts on the rope in between points A and B . The tension in the rope at a distance L//5 from end A is.

A perfectly straight protion of a uniform rope has mass M and length L . At end A of the segment, the tension in the rope is T_(A) and at end B it is T_(B)(T_(B)gtT_(A) ) . Neglect effect of gravity and no contact force acts on the rope in between points A and B . The tension in the rope at a distance L//5 from end A is.

The frequency f of vibration of a string between two fixed ends is proportional to L^(a) T^(b) mu^(c ) , where L is the length of string, T is tension in the string and mu is the linear mass density (or mass per unit length) of string. Find the value of a,b and c.

Derive an expression for the velocity of pulse in a in stretched in string under a tension T and mu is the mass per unit length of the sting.

Derive an expression for the velocity of pulse in a in stretched in string under a tension T and mu is the mass per unit length of the sting.

The frequency ( nu ) of transverse wave on a string may depend upon (i) length L of string (ii) tension T in the string and (iii) mass per unit length m of the string Derive the formula for frequency with the help of dimensions.