IIT-JEE Exam

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

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IIT-JEE Other Question

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
What is the maximum energy of the anti-neutrino ?