Question : Which of the following is the maximum number of electrons that can be present in M-shell?
Option 1: 2
Option 2: 8
Option 3: 18
Option 4: 32
Correct Answer: 18
Solution : The correct answer is 18.
A precise circular path known as the shell is followed by electrons as they orbit the nucleus. The shells are either designated alphabetically with letters beginning with K (K, L, M, etc.) or according to the primary quantum numbers (n = 1, 2, 3, 4, etc.). Only a certain number of electrons can fit inside each shell. According to the formula, the nth shell has a theoretical maximum capacity of 2n² electrons. Based on this formula, the M shell can hold a maximum of 18 electrons.
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Question : How many maximum electrons can the M shell have?
Option 1: 18
Option 3: 1
Option 4: 2
Question : What is the simplified value of $(2+1)(2^{2}+1)(2^{4}+1)(2^{8}+1)$?
Option 1: $2^{8}-1$
Option 2: $2^{16}-1$
Option 3: $2^{32}-1$
Option 4: $2^{64}-1$
Question : Directions: In the following question a series is given, with one/two terms missing. Choose the correct alternative from the given ones that will complete the series. 4, 6, 8, 12, 14, 18, 20, 24, 30, ?, ?
Option 1: 32, 34
Option 2: 34, 36
Option 3: 32, 38
Option 4: 32, 33
Question : The value of $\frac{5-2 \div 4 \times[5-(3-4)]+5 \times 4 \div 2 \text { of } 4}{4+4 \div 8 \text { of } 2 \times(8-5) \times 2 \div 3-8 \div 2 \text { of } 8}$ is:
Option 1: $\frac{9}{8}$
Option 2: $\frac{9}{4}$
Option 3: $\frac{15}{32}$
Option 4: $\frac{89}{4}$
Question : What is the simplified value of $(3+1)(3^{2}+1)(3^{4}+1)(3^{8}+1)(3^{16}+1)$?
Option 1: $\frac{(3^{32}-1)}{2}$
Option 2: $\frac{(3^{16}-1)}{2}$
Option 3: $\frac{(3^{64}-1)}{2}$
Option 4: $\frac{(3^{128}-1)}{2}$
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