JEE MAIN 2022 ONLINE 29TH JUNE EVENING SHIFT

In the following nuclear reaction,

$$D\buildrel \alpha \over \[\longrightarrow {D_1}\buildrel {{\beta ^ - }} \over\] \[\longrightarrow {D_2}\buildrel \alpha \over\] \[\longrightarrow {D_3}\buildrel \gamma \over\] \longrightarrow {D_4}$$

Mass number of D is 182 and atomic number is 74. Mass number and atomic number of D₄ respectively will be _________.

A 42.12% (w/v) solution of NaCl causes precipitation of a certain sol in 10 hours. The coagulating value of NaCl for the sol in 2 hours is :

[Given : Molar mass : Na = 23.0 g mol^\(-\)1 ; Cl = 35.5 g mol^\(-\)1]

Let n \(\ge\) 5 be an integer. If 9ⁿ \(-\) 8n \(-\) 1 = 64\(\alpha\) and 6ⁿ \(-\) 5n \(-\) 1 = 25\(\beta\), then \(\alpha\) \(-\) \(\beta\) is equal to

The TV transmission tower at a particular station has a height of 125 m. For doubling the coverage of its range, the height of the tower should be increased by

Using the rules for significant figures, the correct answer for the expression \({{0.02858 \times 0.112} \over {0.5702}}\) will be

The sum of the infinite series \(1 + {5 \over 6} + {{12} \over {{6^2}}} + {{22} \over {{6^3}}} + {{35} \over {{6^4}}} + {{51} \over {{6^5}}} + {{70} \over {{6^6}}} + \,\,.....\) is equal to :