The question asks to identify the type of optical component (lens or mirror) based on its power, which is given as +2.0 diopters (D). We need to recall the sign conventions for the power of lenses and mirrors.
C) convex lens — A positive power (\(+2.0 \text{ D}\)) indicates a converging lens. Convex lenses are converging lenses.
The question asks to identify the dignitary who inaugurated the Chenani-Nashri Tunnel in April 2017. This is a factual question related to a significant infrastructure project in India and requires knowledge of contemporary political events.
A) Narendra Modi – Prime Minister Narendra Modi inaugurated the Chenani-Nashri Tunnel (now officially known as Dr. Syama Prasad Mookerjee Tunnel) on April 2, 2017. This tunnel is India's longest road tunnel, stretching 9.28 km, and significantly reduces travel time between Chenani and Nashri in Jammu and Kashmir.
The question asks to identify the third member of a Dobereiner triad that includes Lithium (Li) and Sodium (Na). Dobereiner's Law of Triads states that when elements are arranged in groups of three (triads) in increasing order of their atomic masses, the atomic mass of the middle element is approximately the arithmetic mean of the atomic masses of the other two elements. These elements also show similar chemical properties.
A) Potassium is the third member of the Dobereiner triad that includes Lithium and Sodium. This triad (Li, Na, K) is a classic example of Dobereiner's Law of Triads.
The problem asks us to identify the pattern in the given number series and find the next number. We will analyze the relationship between consecutive numbers or their positions in the series to deduce the rule.
Therefore, the number that completes the series is 64.
D) 64 is the correct option because it follows the pattern of \(n^3\) for \(n=4\).
This problem involves finding the shortest distance between a starting point and an ending point, given two perpendicular displacements. This can be visualized as a right-angled triangle, where the two displacements are the perpendicular sides (legs), and the shortest distance is the hypotenuse. We can use the Pythagorean theorem to solve this.
C) 5 km is the shortest distance between the start and the end point of X's journey.
The question asks to identify the type of curved mirror where the reflecting surface is curved inwards. This requires knowledge of the basic definitions of different types of mirrors, particularly spherical mirrors.
Correct Option: B) A concave mirror is defined as a spherical mirror whose reflecting surface is curved inwards. This type of mirror converges light rays.
The problem asks us to identify the logically correct conclusions drawn from the given statement: "Time and tide wait for none." This is a common proverb, and we need to interpret its meaning to evaluate the given conclusions.
B) Both conclusions 1 and 2 follow. Both conclusions are consistent with the meaning and implications of the proverb "Time and tide wait for none."
The question asks to find a related word for 'Fan' based on the relationship between 'Wheel' and 'Spokes'. This is an analogy question where we need to identify the core relationship in the first pair and apply the same relationship to the second pair.
A) Wings — Wings (or blades) are the primary functional components of a fan, similar to how spokes are integral parts of a wheel.
The question asks for the number of black cows in a herd. We need to determine which statement(s) provide enough information to calculate this number. We will analyze each statement individually and then together.
This statement gives us the total number of cows. However, it does not provide any information about the proportion or number of black cows. Therefore, Statement 1 alone is not sufficient to answer the question.
This statement tells us the percentage of black cows. However, it does not provide the total number of cows in the herd. Without the total number, we cannot calculate the absolute number of black cows. Therefore, Statement 2 alone is not sufficient to answer the question.
If we combine both statements, we have:
Now, we can calculate the number of black cows:
\[ \text{Number of black cows} = \text{Total cows} \times \text{Percentage of black cows} \]\[ \text{Number of black cows} = 60 \times \frac{40}{100} \]\[ \text{Number of black cows} = 60 \times 0.4 \]\[ \text{Number of black cows} = 24 \]Since we can calculate the exact number of black cows (24) using both statements together, both statements taken together are sufficient to answer the question.
C) Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient.
The question asks to identify the physicist who explained the existence of buoyant force. This requires knowledge of the history of physics and the contributions of prominent scientists to the understanding of fluid mechanics.
B) Archimedes is widely credited with discovering and explaining the principle of buoyancy, known as Archimedes' Principle. This principle states that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the fluid that the body displaces.