IIT-JEE Exam

A charge Q is uniformly distributed over a long rod
AB of length L as shown in the figure. The electric
potential at the point O lying at a distance L from
the end A is -

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IIT-JEE Other Question

The number of distinct real roots of x^4 - 4x^3 + 12x^2 + x - 1 = 0 is A sonometer wire of length 1.5 m is made of steel.
The tension in it produces an elastic strain of 1%.
What is the fundamental frequency of steel if
density and elasticity of steel are 7.7 × 10^3 kg/m3
and 2.2 × 10^11 N/m2 respectively ?
(1) 200.5 Hz (2) 770 Hz
(3) 188.5 Hz (4) 178.2 Hz