IIT-JEE Exam

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

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IIT-JEE Other Question
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 Two moles of ideal helium gas are in a rubber balloon at 30° C .The balloon is fully expandable and can be assumed to require no energy in its expansion. The temperature of the gas in the balloon is slowly changed to 35°C.The amount of heat required in raising the temperature is nearly (take R = 8.31 J/mol.K)
option
(A) 62J
(B) 104 J
(C) 124 J
(D) 208 J