The question asks to identify the symbolic representation of a combination reaction. A combination reaction is a type of chemical reaction where two or more reactants combine to form a single product. We will analyze each option based on this definition.
B) \(A + B \rightarrow C\) represents a combination reaction because two reactants (A and B) combine to form a single product (C).
Study the given letter, symbol series and answer the question that follows.
L @ S O J ^ B U # W R < E M @ N U # B * H ! A & L E W % H & G A * S A # L D
How many consonants are immediately preceded by a symbol and immediately followed by a vowel?
The problem asks us to identify the number of consonants that are immediately preceded by a symbol and immediately followed by a vowel in the given series. We need to scan the series from left to right and check each character against these two conditions.
The given series is: L @ S O J ^ B U # W R < E M @ N U # B * H ! A & L E W % H & G A * S A # L D
D) 6 - As identified in the step-by-step analysis, there are 6 instances where a consonant is immediately preceded by a symbol and immediately followed by a vowel.
This question tests knowledge of the focal lengths of common optical devices like lenses and mirrors. The sign convention for focal length is crucial here. A positive focal length indicates a converging optical device, while a negative focal length indicates a diverging optical device.
Correct Option: B) Either a convex lens or a convex mirror
The question asks to identify the Article of the Indian Constitution that guarantees the protection of life and personal liberty. This requires knowledge of fundamental rights enshrined in the Constitution.
Correct Option: D) Article 21
Article 21 of the Indian Constitution guarantees the protection of life and personal liberty. It is one of the most fundamental and widely interpreted articles, forming the bedrock of many other rights, including the right to live with human dignity, right to livelihood, right to privacy, etc.
The question asks about events occurring during diastole in the human heart. Diastole is the phase of the cardiac cycle when the heart muscle relaxes and chambers fill with blood. Understanding the sequence of blood flow through the heart during relaxation and contraction phases is key to answering this question.
C) Blood enters the ventricle — During diastole, the ventricles relax, and the atrioventricular valves open, allowing blood to flow from the atria into the ventricles. This is the filling phase of the ventricles.
To find the perimeter of a rectangular plot, we need both its length and width. We are given the diagonal and one side. We can use the Pythagorean theorem to find the other side, and then calculate the perimeter.
D) 158 m — The perimeter of the rectangular plot is calculated as \(2 \times (63 + 16) = 158 \text{ m}\).
The question asks to identify the common name for calcium sulphate dihydrate. This requires knowledge of common chemical compounds and their chemical formulas or names.
Correct Option: B) Gypsum is the common name for calcium sulphate dihydrate, which has the chemical formula \( \text{CaSO}_4 \cdot 2\text{H}_2\text{O} \). It is a soft sulfate mineral used in plaster, drywall, and fertilizer.
For point B to lie on the line segment AC, the sum of the lengths of AB and BC must be equal to the length of AC. This is a fundamental property of collinear points where one point lies between the other two. We will set up an equation based on this condition and solve for 'x'.
Understand the condition: If point B lies on the line segment AC, it means that A, B, and C are collinear, and B is between A and C. In this case, the distance from A to C is the sum of the distance from A to B and the distance from B to C.
\[ \text{AB} + \text{BC} = \text{AC} \]Substitute the given expressions: We are given the lengths in terms of 'x':
Substitute these into the equation from Step 1:
\[ (x + 3) + (2x) = 4x - 5 \]Simplify the equation: Combine like terms on the left side of the equation:
\[ 3x + 3 = 4x - 5 \]Solve for 'x': To isolate 'x', move all terms involving 'x' to one side and constant terms to the other side. Subtract \(3x\) from both sides:
\[ 3 = 4x - 3x - 5 \]\[ 3 = x - 5 \]Add 5 to both sides:
\[ 3 + 5 = x \]\[ x = 8 \]Verify the lengths: Substitute \(x = 8\) back into the original expressions to ensure all lengths are positive and the condition holds:
Check if \( \text{AB} + \text{BC} = \text{AC} \):
\[ 11 + 16 = 27 \]\[ 27 = 27 \]The condition is satisfied, and all lengths are positive. Therefore, \(x = 8\) is the correct value.
Correct Option: D) 8