JEE MAIN 2022 ONLINE 26TH JUNE MORNING SHIFT

How many alpha and beta particles are emitted when Uranium ₉₂U²³⁸ decays to lead ₈₂Pb²⁰⁶ ?

An evacuated glass vessel weighs 40.0 g when empty, 135.0 g when filled with a liquid of density 0.95 g mL^\(-\)1 and 40.5 g when filled with an ideal gas at 0.82 atm at 250 K. The molar mass of the gas in g mol^\(-\)1 is :

(Given : R = 0.082 L atm K^\(-\)1 mol^\(-\)1)

Let A be a 3 \(\times\) 3 invertible matrix. If |adj (24A)| = |adj (3 adj (2A))|, then |A|² is equal to :

Choose the correct statement for amplitude modulation :

Given below are two statements :

Statement I : According to Ellingham diagram, any metal oxide with higher \(\Delta\)G\(^\circ\) is more stable than the one with lower \(\Delta\)G\(^\circ\).

Statement II : The metal involved in the formation of oxide placed lower in the Ellingham diagram can reduce the oxide of a metal placed higher in the diagram.

In the light of the above statements, choose the most appropriate answer from the options given below :

If \(\overrightarrow a \,.\,\overrightarrow b = 1,\,\overrightarrow b \,.\,\overrightarrow c = 2\) and \(\overrightarrow c \,.\,\overrightarrow a = 3\), then the value of \(\left[ {\overrightarrow a \times \left( {\overrightarrow b \times \overrightarrow c } \right),\,\overrightarrow b \times \left( {\overrightarrow c \times \overrightarrow a } \right),\,\overrightarrow c \times \left( {\overrightarrow b \times \overrightarrow a } \right)} \right]\) is :