India has a highly uneven population distribution. Some states like Uttar Pradesh, Maharashtra, and Bihar are densely populated, whereas others like Arunachal Pradesh, Mizoram, and Sikkim are sparsely populated. This imbalance is due to a combination of several factors:
Hence, both the Assertion and Reason are correct, and the Reason correctly explains the Assertion.
Two batteries of emf's \(3V \& 6V\) and internal resistances 0.2 Ω \(\&\) 0.4 Ω are connected in parallel. This combination is connected to a 4 Ω resistor. Find:
(i) the equivalent emf of the combination
(ii) the equivalent internal resistance of the combination
(iii) the current drawn from the combination
Four students of class XII are given a problem to solve independently. Their respective chances of solving the problem are: \[ \frac{1}{2},\quad \frac{1}{3},\quad \frac{2}{3},\quad \frac{1}{5} \] Find the probability that at most one of them will solve the problem.