The question asks about the products formed when ferrous sulphate is heated. This is a classic example of a thermal decomposition reaction. We need to recall the balanced chemical equation for the decomposition of ferrous sulphate.
B) Ferric oxide, sulphur dioxide and sulphur trioxide. This option correctly lists all three products formed during the thermal decomposition of ferrous sulphate.
The question asks to identify the incorrect statement regarding the uses of sodium carbonate. We need to evaluate each option based on the known properties and applications of sodium carbonate (washing soda).
Correct Option: C) Sodium carbonate is used to neutralise excess acid in the stomach.
Sodium carbonate (\(\text{Na}_2\text{CO}_3\)) is a strong base. Ingesting it to neutralize stomach acid would lead to a vigorous reaction, producing carbon dioxide gas and potentially causing discomfort, bloating, and other adverse effects. Common antacids use weaker bases like magnesium hydroxide (\(\text{Mg(OH)}_2\)) or aluminium hydroxide (\(\text{Al(OH)}_3\)) that react more gently with stomach acid.
To simplify the given expression, we need to perform the addition and subtraction operations in the correct order. We will first add the positive numbers and then subtract the negative number from the sum. It's crucial to align the decimal points correctly during addition and subtraction.
C) \(3854.002\) is the correct result obtained by performing the addition and subtraction operations accurately.
Fleming's Left-Hand Rule is a mnemonic used in physics to determine the direction of force on a current-carrying conductor placed in a magnetic field. It involves using the thumb, forefinger, and middle finger of the left hand, each representing a specific physical quantity.
Correct Option: B) Direction of electric current
This is a linear arrangement puzzle. We need to deduce the positions of seven people (B, C, D, E, F, G, K) sitting in a straight line, facing north, based on the given clues. We will build the arrangement step-by-step, starting with the most restrictive clues.
Clue 1: Only K sits to the left of G.
This means K is immediately to the left of G, and there are no other people between them or to K's left. This implies K is at the extreme left end of the line. Since there are 7 people, the arrangement starts with K and G.
Arrangement so far: K G _ _ _ _ _
Clue 2: Only four people sit between K and C.
Since K is at position 1, C must be at position 1 + 4 + 1 = 6. (K, 4 people, C).
Arrangement so far: K G _ _ _ C _
Clue 3: Only E sits between F and D.
This means F, E, and D are consecutive in that order: F E D. This block of three people must be placed together.
Clue 4: F is not an immediate neighbour of C.
From the current arrangement K G _ _ _ C _, the remaining empty slots are 3, 4, 5, and 7. The block F E D needs three consecutive slots. The only available consecutive slots are 3, 4, 5. So, F, E, D must occupy positions 3, 4, 5 respectively.
Arrangement so far: K G F E D C _
Let's check Clue 4: F is at position 3, C is at position 6. They are not immediate neighbours. This is consistent.
Final Placement:
The only person remaining is B, and the only slot remaining is position 7.
Final arrangement: K G F E D C B
Identify the person at the extreme right:
Looking at the final arrangement K G F E D C B, the person at the extreme right end of the line is B.
Correct Option: C) B
The problem presents a series of three-letter combinations. We need to identify the pattern in the alphabetical positions of the letters within each combination and between consecutive combinations to find the missing term.
A) RUX is the correct option as it follows the established pattern of adding 9 to the alphabetical position of each corresponding letter in the previous term.
The problem presents a number-pair analogy where the second number is derived from the first by a specific mathematical operation. We need to find the missing numbers X and Y such that the relationship between X and 521 is the same as the relationship between 794 and Y. We will analyze the given options to find a consistent pattern.
C) X = 659, Y = 656
When \(X = 659\), the second number is \(521\). The difference is \(521 - 659 = -138\).
When \(Y = 656\), the first number is \(794\). The difference is \(656 - 794 = -138\).
The pattern is consistent: the second number is obtained by subtracting 138 from the first number.
The question asks to identify the cell organelle that acts as a channel for transporting materials within the cytoplasm. We need to recall the primary functions of each given organelle.
Correct Option: C) Endoplasmic reticulum. The endoplasmic reticulum (ER) is a vast network of tubular and flattened sacs (cisternae) that extends throughout the cytoplasm. It serves as an intracellular transport system, facilitating the movement of proteins, lipids, and other molecules between various regions of the cytoplasm and to other organelles.
The question asks for the unemployment rate in India for individuals aged 15 years and above during the period July 2023 to June 2024. This requires knowledge of recent labor force survey data, typically released by government agencies like the National Sample Survey Office (NSSO) under the Ministry of Statistics and Programme Implementation (MoSPI).
Correct Option: B) The unemployment rate for individuals aged 15 years and above in India from July 2023 to June 2024, as per the Periodic Labour Force Survey (PLFS) annual report, was 3.2%.
To find the percentage increase in the volume of a sphere when its radius is increased, we first need to recall the formula for the volume of a sphere. Then, we will calculate the new radius and subsequently the new volume. Finally, we will use the formula for percentage increase to find the required value.
Let the original radius of the sphere be \(r\).
The original volume of the sphere, \(V_1\), is given by the formula:
\[ V_1 = \frac{4}{3} \pi r^3 \]The radius is increased by 50%. This means the increase is \(50\%\) of \(r\), which is \(0.5r\).
The new radius, \(r_2\), will be:
\[ r_2 = r + 0.5r = 1.5r \]Now, calculate the new volume, \(V_2\), using the new radius \(r_2\):
\[ V_2 = \frac{4}{3} \pi (r_2)^3 = \frac{4}{3} \pi (1.5r)^3 \] \[ V_2 = \frac{4}{3} \pi (1.5)^3 r^3 \]Since \(1.5^3 = 3.375\), we have:
\[ V_2 = \frac{4}{3} \pi (3.375) r^3 \] \[ V_2 = 3.375 \times \left( \frac{4}{3} \pi r^3 \right) \]Substitute \(V_1 = \frac{4}{3} \pi r^3\):
\[ V_2 = 3.375 V_1 \]The increase in volume is \(V_2 - V_1\):
\[ \text{Increase in Volume} = 3.375 V_1 - V_1 = (3.375 - 1) V_1 = 2.375 V_1 \]To find the percentage increase in volume, use the formula:
\[ \text{Percentage Increase} = \frac{\text{Increase in Volume}}{\text{Original Volume}} \times 100\% \] \[ \text{Percentage Increase} = \frac{2.375 V_1}{V_1} \times 100\% \] \[ \text{Percentage Increase} = 2.375 \times 100\% \] \[ \text{Percentage Increase} = 237.5\% \]Correct Option: D) 237.5%