To find the total current drawn from the battery, we first need to calculate the equivalent resistance of the two resistors connected in parallel. Once the equivalent resistance is found, we can use Ohm's Law to determine the total current.
When resistors are connected in parallel, the reciprocal of the equivalent resistance (\(R_{eq}\)) is the sum of the reciprocals of individual resistances.
\[ \frac{1}{R_{eq}} = \frac{1}{R_A} + \frac{1}{R_B} \]Given \(R_A = 10 \, \Omega\) and \(R_B = 15 \, \Omega\).
\[ \frac{1}{R_{eq}} = \frac{1}{10 \, \Omega} + \frac{1}{15 \, \Omega} \]The least common multiple of 10 and 15 is 30.
\[ \frac{1}{R_{eq}} = \frac{3}{30 \, \Omega} + \frac{2}{30 \, \Omega} \]\[ \frac{1}{R_{eq}} = \frac{3+2}{30 \, \Omega} \]\[ \frac{1}{R_{eq}} = \frac{5}{30 \, \Omega} \]Ohm's Law states that \(V = I \times R\), where \(V\) is the voltage, \(I\) is the current, and \(R\) is the resistance. We need to find the current (\(I\)) through the battery.
\[ I = \frac{V}{R_{eq}} \]Given \(V = 3 \, \text{V}\) and we found \(R_{eq} = 6 \, \Omega\).
\[ I = \frac{3 \, \text{V}}{6 \, \Omega} \]\[ I = 0.5 \, \text{A} \]D) 0.50 A — The total current through the battery is 0.5 A, calculated by first finding the equivalent resistance of the parallel combination and then applying Ohm's Law.
Nine people, 1 to 9, are sitting in a straight row, facing south. 8 is sitting in the middle of the row and his immediate left and right neighbours are 5 and 1, respectively. 9 is sitting at one of the extreme ends and his immediate right neighbour is 2. Only five people are there between 2 and 3. 3 is sitting between 7 and 4. 1 and 7 are immediate neighbours. If 7 and 6 exchange their positions, then who among the following will be the immediate left neighbour of 7?
The question asks to complete the definition of a monohybrid cross. A monohybrid cross is a fundamental concept in genetics, introduced by Gregor Mendel, used to study the inheritance of a single trait.
A) two — A monohybrid cross specifically focuses on the inheritance pattern of a single trait, where the two parent organisms differ in two contrasting versions (alleles) of that particular trait. For example, a tall plant crossed with a dwarf plant for the trait of height.
The question asks about the source of oxygen for plant roots. We need to understand the basic physiological requirements of plant roots and how they obtain essential gases like oxygen for respiration.
B) From the air spaces in between the soil particles. This is the primary source of oxygen for plant roots. The soil structure naturally contains pores and gaps, which, when not saturated with water, are filled with air. Roots absorb oxygen from this air for their metabolic processes.
The question asks us to evaluate two statements about Plaster of Paris (PoP) and determine their correctness. We need to recall the chemical properties and common uses of Plaster of Paris.
C) Both the statements are true. Both statements accurately describe the properties and uses of Plaster of Paris.
The question describes a climate type characterized by a large annual temperature range and summer precipitation, typically found in the interior of large landmasses. We need to identify the climate type that matches these characteristics.
D) Continental climate — This climate is characterized by its location in the interior of continents, leading to a large annual temperature range (hot summers and cold winters) due to the absence of oceanic moderation. Precipitation often occurs primarily in the summer months.
To solve this problem, we need to identify pairs of letters in the word 'DABSTER' that have the same number of letters between them as they do in the English alphabet. We must check this in both the forward and backward directions.
D (4) A (1) B (2) S (19) T (20) E (5) R (18)
Word: R E T S B A D
Positions: 18 5 20 19 2 1 4
Correct Option: C) More than three
There are 6 such pairs, which is more than three.
The question asks to identify the highest goal scorer in the 3rd edition of the SAFF U-18 Women's Football Championship held in March 2022. This is a factual question related to sports achievements.
B) Lynda Kom was the highest goal scorer in the 3rd edition of the SAFF U-18 Women's Football Championship held in Jamshedpur in March 2022. She scored 5 goals in the tournament, leading India to victory.
To determine which statements are correct, we need to analyze the given chemical reaction in terms of oxidation and reduction. Oxidation involves the loss of electrons or gain of oxygen, while reduction involves the gain of electrons or loss of oxygen. We will assign oxidation states to each element in the reactants and products to identify the changes.
Based on the analysis, statements (i) and (ii) are correct.
Correct Option: B) Both (i) and (ii)
This question involves a double displacement reaction between lead (II) nitrate and potassium iodide. We need to identify the products formed and their physical state, specifically the color of any precipitate.
\[ \text{Pb(NO}_3\text{)}_2\text{(aq)} + 2\text{KI(aq)} \rightarrow \text{PbI}_2\text{(s)} + 2\text{KNO}_3\text{(aq)} \]
Correct Option: D) A yellow precipitate of lead iodide will be formed.