IIT-JEE Exam

A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating vertically in water in half-submerged state. If c is the relative density of the material of the shell with respect to water, then the correct statement is that the shell is
option
(A) more than half filled if c is less than 0.5
(B) more than half filled if c is less than 1.0
(C) half filled if c is less than 0.5
(D) less than half filled if c is less than 0.5

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IIT-JEE Other Question

A loop carrying current I lies in the x-y plane..unit vector k ˆ is coming out of the
plane of the paper. the magnetic moment of the current loop is :
A student is performing the experiment of Resonance Column. The diameter of the column tube is 4cm . The distance frequency of the tuning for k is 512 Hz. The air temperature is 38°C in which the speed of sound is 336 m/s. The zero of the meter scale coincides with the top and of the Resonance column. When first resonance occurs, the reading of the water level in the column is
option
(A) 14.0
(B) 15.2
(C) 16.4
(D) 17.6