The question asks to identify which of the given options exclusively uses a convex lens. We need to understand the function of a convex lens and how it is applied in different optical instruments.
C) A microscope uses two convex lenses (objective and eyepiece) to achieve high magnification. Both lenses are essential for its operation and are convex in nature.
This problem involves a relationship between speed, distance, and time. Since the time taken for both scenarios (walking at 10 km/hr and 13 km/hr) is the same, we can set up an equation based on the distance formula: \(\text{Distance} = \text{Speed} \times \text{Time}\). We will define the actual distance and the time taken, then use the given information to find the actual distance.
Let the actual distance travelled by Anita be \(D\) km.
Let the time taken to travel this distance be \(T\) hours.
According to the problem, Anita walks at 10 km/hr for the actual distance. So, we can write the first equation:
\[ D = 10 \times T \quad \text{(Equation 1)} \]If Anita walks at 13 km/hr for the same time \(T\), she would walk 30 km more than the actual distance \(D\). So, the new distance would be \(D + 30\) km.
Using the new speed and new distance with the same time \(T\), we can write the second equation:
\[ D + 30 = 13 \times T \quad \text{(Equation 2)} \]From Equation 1, we can express \(T\) in terms of \(D\):
\[ T = \frac{D}{10} \]Substitute this value of \(T\) into Equation 2:
\[ D + 30 = 13 \times \left(\frac{D}{10}\right) \]Now, solve for \(D\):
\[ D + 30 = \frac{13D}{10} \]Multiply the entire equation by 10 to eliminate the denominator:
\[ 10(D + 30) = 13D \]\[ 10D + 300 = 13D \]Subtract \(10D\) from both sides:
\[ 300 = 13D - 10D \]\[ 300 = 3D \]Divide by 3 to find \(D\):
\[ D = \frac{300}{3} \]\[ D = 100 \]So, the actual distance travelled by her is 100 km.
A) 100 km — This is the distance calculated based on the given conditions.
The question asks to identify the dynasty responsible for building the group of monuments at Mahabalipuram (Mamallapuram) in Tamil Nadu. This is a factual question related to ancient Indian history and architecture, specifically the history of South India.
D) Pallavas — The Pallava dynasty, particularly kings like Mahendravarman I and Narasimhavarman I (Mamalla), were great patrons of art and architecture. They were responsible for the construction of the magnificent rock-cut and structural temples at Mahabalipuram during the 7th and 8th centuries CE. Narasimhavarman I is even credited with giving the town its alternative name, Mamallapuram.
To find the length of the train, we need to use the relationship between speed, distance, and time. When a train crosses a pole, the distance covered by the train is equal to its own length. We are given the speed in km/hr and time in seconds, so we must convert the speed to m/s to ensure consistent units.
The speed of the train is given as 120 km/hr. To convert km/hr to m/s, we multiply by the conversion factor \(\frac{5}{18}\).
\[ \text{Speed} = 120 \times \frac{5}{18} \text{ m/s} \]Simplify the expression:
\[ \text{Speed} = \frac{600}{18} \text{ m/s} = \frac{100}{3} \text{ m/s} \]When a train crosses a pole, the distance it travels is equal to its own length. Let the length of the train be \(L\) meters.
The formula relating distance, speed, and time is:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]We know the speed is \(\frac{100}{3}\) m/s and the time is 9 seconds.
\[ L = \frac{100}{3} \text{ m/s} \times 9 \text{ s} \]Calculate the length:
\[ L = 100 \times 3 \text{ m} \]\[ L = 300 \text{ m} \]
Therefore, the length of the train is 300 meters.
Correct Option: B) 300 m
To find the speed of the first train, we first need to determine the speed of the second train using the given distance and time. Once we have the speed of the second train, we can use the given ratio of speeds to calculate the speed of the first train.
The second train runs 800 km in 8 hours.
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \] \[ \text{Speed of second train} = \frac{800\ \text{km}}{8\ \text{hours}} = 100\ \text{km/hr} \]The ratio between the speeds of the two trains (first train : second train) is 4:5.
Let the speed of the first train be \(S_1\) and the speed of the second train be \(S_2\).
\[ \frac{S_1}{S_2} = \frac{4}{5} \]We know \(S_2 = 100\ \text{km/hr}\). Substitute this value into the ratio equation:
\[ \frac{S_1}{100} = \frac{4}{5} \]Now, solve for \(S_1\):
\[ S_1 = \frac{4}{5} \times 100 \] \[ S_1 = 4 \times 20 \] \[ S_1 = 80\ \text{km/hr} \]Correct Option: D) 80 km/hr
The question asks for the meaning of the term 'Yajur' in 'Yajur Veda'. This requires knowledge of the etymology and primary focus of the Yajur Veda, one of the four principal Vedas of Hinduism.
C) Sacrifice. The term 'Yajur' is derived from the Sanskrit root 'yaj', which means 'to sacrifice' or 'to worship'. The Yajur Veda is a collection of sacrificial formulas and prose mantras used in Vedic rituals and sacrifices.
The question asks to identify the currency of Turkey based on the given analogy. The analogy establishes a relationship between a country and its currency. We need to apply the same relationship to find the currency of Turkey.
Correct Option: C) LIRA is the official currency of Turkey, following the pattern of Country : Currency.
The question asks to identify the author of the book 'Transcendence: My Spiritual Experiences with Pramukh Swamiji', published in June 2015, from the given political leaders. This is a factual question related to famous books and their authors, common in general knowledge sections of competitive exams.
A) A. P. J. Abdul Kalam is the correct answer. Dr. A. P. J. Abdul Kalam, the former President of India, authored the book 'Transcendence: My Spiritual Experiences with Pramukh Swamiji', which was published in June 2015. The book explores his spiritual experiences and his interactions with Pramukh Swami Maharaj, the spiritual leader of the BAPS Swaminarayan Sanstha.
To find the percentage of illiterate people, we first need to calculate the number of illiterate people by subtracting the number of literate people from the total population. Then, we divide this number by the total population and multiply by 100 to get the percentage.
Total number of persons in the village = 200
Number of literate people = 111
Number of illiterate people = Total number of persons - Number of literate people
\[ = 200 - 111 = 89 \]Percentage of illiterate people = \[\left( \frac{\text{Number of illiterate people}}{\text{Total number of persons}} \right) \times 100\]%
\[ = \left( \frac{89}{200} \right) \times 100 \% \]\[ = 0.445 \times 100 \% \]\[ = 44.5 \% \]Correct Option: B) 44.5%
The question asks to identify the Article in the Constitution of India that defines the 'Right to Education'. This requires knowledge of fundamental rights and specific articles related to them.
The Right to Education was made a fundamental right by the 86th Constitutional Amendment Act of 2002. This amendment inserted a new article, Article 21A, into the Constitution.
Correct Option: D) Article 21A of the Constitution of India states that "The State shall provide free and compulsory education to all children of the age of six to fourteen years in such manner as the State may, by law, determine." This article explicitly defines and guarantees the Right to Education as a fundamental right.