1
JEE Main 2023 (Online) 25th January Morning Shift
Numerical
+4
-1 An athlete is given 100 g of glucose (C$$_6$$H$$_{12}$$O$$_6$$) for energy. This is equivalent to 1800kJ of energy. The 50% of this energy gained is utilized by the athlete for sports activities at the event. In order to avoid storage of energy, the weight of extra water he would need to perspire is ____________ g (Nearest integer)

Assume that there is no other way of consuming stored energy.

Given : The enthalpy of evaporation of water is 45 kJ mol$$^{-1}$$

Molar mass of C, H & O are 12, 1 and 16 g mol$$^{-1}$$.

2
JEE Main 2023 (Online) 24th January Evening Shift
Numerical
+4
-1 One mole of an ideal monoatomic gas is subjected to changes as shown in the graph. The magnitude of the work done (by the system or on the system) is __________ J (nearest integer) Given ; $$\log2=0.3$$

$$\ln10=2.3$$

3
JEE Main 2023 (Online) 24th January Evening Shift
Numerical
+4
-1 Following figure shows spectrum of an ideal black body at four different temperatures. The number of correct statement/s from the following is ____________ A. $$\mathrm{T_4 > T_3 > T_2 > T_1}$$

B. The black body consists of particles performing simple harmonic motion.

C. The peak of the spectrum shifts to shorter wavelength as temperature increases.

D. $${{{T_1}} \over {{v_1}}} = {{{T_2}} \over {{v_2}}} = {{{T_3}} \over {{v_3}}} \ne$$ constant

E. The given spectrum could be explained using quantisation of energy.

4
JEE Main 2023 (Online) 24th January Morning Shift
Numerical
+4
-1 For independent process at 300 K

Process $$\mathrm{\Delta H/kJ~mol^{-1}}$$ $$\mathrm{\Delta S/J~K^{-1}}$$
A $$-25$$ $$-80$$
B $$-22$$ 40
C 25 $$-50$$
D 22 20

The number of non-spontaneous process from the following is __________

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