The question asks what an object experiences when it falls under gravity. This involves understanding the fundamental principles of gravity and motion, specifically Newton's laws of motion and the concept of acceleration due to gravity.
A) an acceleration
When an object falls under gravity, the gravitational force acts on it, causing its velocity to change over time. This change in velocity is precisely what acceleration is. Therefore, the object experiences an acceleration, specifically the acceleration due to gravity (\(g\)).
This question tests knowledge of displacement reactions, specifically the reactivity series of metals. A more reactive metal can displace a less reactive metal from its salt solution.
Correct Option: A) Copper is the substance that gets displaced. The iron nail gets coated with reddish-brown copper, and the blue colour of the copper sulphate solution fades and eventually turns greenish due to the formation of iron(II) sulphate.
The question asks about the path of an object in uniform motion. Uniform motion is defined by constant velocity, which means both constant speed and constant direction. We need to determine what kind of path results from an object moving with an unchanging direction.
Therefore, the path of an object in uniform motion is a straight line.
Correct Option: B) A straight line
To determine the nature of the image formed by a concave mirror, we need to recall the rules of image formation for different object positions. Specifically, we will consider the case when the object is placed between the pole (P) and the principal focus (F) of a concave mirror.
D) Virtual, erect and enlarged — This accurately describes the image formed when an object is placed between the focus and the pole of a concave mirror. This is the only case where a concave mirror forms a virtual and erect image, and it is always magnified.
The problem asks us to identify a pair of letter sets that follows the same pattern as the two given pairs: WGN : ZDQ and IUZ : LRC. We need to analyze the positional shifts of the letters in the alphabet for the given pairs and then apply the same logic to the options.
This problem can be solved by setting up a system of two linear equations with two variables. We will assign variables to the cost of one pencil and one pen, form the equations based on the given information, and then solve the system to find the individual costs. Finally, we will calculate the cost of 2 pencils and 2 pens.
Let the cost of one pencil be \(P\) (in ₹) and the cost of one pen be \(E\) (in ₹).
From the first statement, "3 pencils and 5 pens together cost ₹101", we can form the equation:
\[ 3P + 5E = 101 \quad \text{(Equation 1)} \]From the second statement, "5 pencils and 3 pens together cost ₹91", we can form the equation:
\[ 5P + 3E = 91 \quad \text{(Equation 2)} \]We need to find the cost of 2 pencils and 2 pens, which is \(2P + 2E\).
A convenient way to solve for \(P+E\) (and thus \(2P+2E\)) when the coefficients are swapped like this is to add the two equations:
Add Equation 1 and Equation 2:
\[ (3P + 5E) + (5P + 3E) = 101 + 91 \]\[ 8P + 8E = 192 \]Factor out 8 from the left side:
\[ 8(P + E) = 192 \]Divide both sides by 8 to find the sum of the cost of one pencil and one pen:
\[ P + E = \frac{192}{8} \]\[ P + E = 24 \]The cost of 2 pencils and 2 pens is \(2(P + E)\). Substitute the value of \(P+E\):
\[ 2(P + E) = 2(24) \]\[ 2(P + E) = 48 \]Thus, the cost of 2 pencils and 2 pens together is ₹48.
We are given the percentage of females in the population, the literacy rate among males, and the overall literacy rate. We need to find the literacy rate among females. We can solve this by considering a total population of 100 people and then calculating the number of literate males and the total number of literate people. From these, we can deduce the number of literate females and subsequently their literacy percentage.
Assume Total Population: Let the total population be 100.
Calculate Number of Females and Males:
Calculate Literate Males:
Calculate Total Literate Population:
Calculate Literate Females:
Calculate Percentage of Literate Females:
Correct Option: B) 40%
This is a syllogism problem. We need to analyze the given statements using Venn diagrams or logical deduction to determine which conclusions logically follow. The key is to assume the statements are true, even if they contradict common knowledge.
C) Only conclusion (I) follows.
The question asks for the conversion of kilowatt (kW) to watt (W). This involves understanding the standard prefixes used in the International System of Units (SI).
Correct Option: B) 1000. As derived, 1 kilowatt is equal to 1000 watts.
Study the following table and answer the question.
The table shows the number of people who visited hill stations A and B in the years from 2011 to 2013.
| Year | A | B |
| 2011 | 777 | 566 |
| 2012 | 675 | 289 |
| 2013 | 470 | 978 |
What is the absolute difference between the number of people who visited hill station A in the year 2011 to the number of people who visited hill station B in the same year?
The problem asks for the absolute difference between the number of visitors to hill station A and hill station B in the year 2011. We need to extract the relevant data from the provided table and then calculate the difference.
Correct Option: A) 211 is the absolute difference between the number of people who visited hill station A in 2011 and hill station B in 2011.