1
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.

2
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 __________

3
JEE Main 2022 (Online) 29th July Morning Shift
Numerical
+4
-1

When 600 mL of 0.2 M HNO3 is mixed with $$400 \mathrm{~mL}$$ of 0.1 M NaOH solution in a flask, the rise in temperature of the flask is ___________ $$\times 10^{-2}{ }\,^{\circ} \mathrm{C}$$.

(Enthalpy of neutralisation $$=57 \mathrm{~kJ} \mathrm{~mol}^{-1}$$ and Specific heat of water $$=4.2 \,\mathrm{JK}^{-1} \mathrm{~g}^{-1}$$) (Neglect heat capacity of flask)

4
JEE Main 2022 (Online) 28th July Evening Shift
Numerical
+4
-1

Among the following the number of state variables is ______________.

Internal energy (U)

Volume (V)

Heat (q)

Enthalpy (H)