This question tests the understanding of the thin lens approximation in optics. The thin lens approximation simplifies calculations by assuming certain conditions about the lens's physical properties. One key condition relates the lens's aperture to its radius of curvature.
Correct Option: A) The aperture is much smaller than the radius of curvature.
The question asks to identify National Waterway 2 (NW-2) among the given options. This requires knowledge of the major National Waterways in India and the rivers/canals they are located on.
National Waterway 2 (NW-2) is located on the Brahmaputra River. It stretches from Sadiya to Dhubri in Assam, covering a distance of 891 km. It was declared a National Waterway in 1988.
B) Brahmaputra river is the correct answer. National Waterway 2 is indeed located on the Brahmaputra River, from Sadiya to Dhubri.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the statements.
Statements:
All plums are lamps. Some lamps are ants. All ants are meats.
Conclusions:
(I): All meats are lamps.
(II): Some meats are plums.
Only conclusion (II) follows.
Only conclusion (I) follows.
Neither conclusion (I) nor (II) follows.
Both conclusions (I) and (II) follow.
This is a syllogism problem. We will use Venn diagrams to represent the given statements and then check if the conclusions logically follow from these diagrams. We must assume the statements are true, even if they contradict common knowledge.
Since neither conclusion necessarily follows from the given statements, both conclusions are false.
C) Neither conclusion (I) nor (II) follows.
The question asks to identify the Article of the Indian Constitution that mentions the concepts of no double jeopardy, no self-incrimination, and no ex post facto law. These are fundamental rights related to protection in respect of conviction for offences.
Correct Option: C) Article 20 of the Indian Constitution provides for protection in respect of conviction for offences. It contains three clauses:
This is a blood relation question where symbols represent relationships. We need to decode the given expression step-by-step to determine the relationship between S and H.
From the above, D and G are siblings (both are children of F). H is the brother/sister of G. So, H is also a child of F. Therefore, D, G, and H are siblings.
Since S is the wife of D, and D is the brother of H, S is the wife of H's brother.
B) Brother's wife — As derived, S is the wife of D, and D is the brother of H. Therefore, S is H's brother's wife.
The question asks to identify the specific plant part used in the grafting process, which is a method of vegetative propagation. Grafting involves joining two plant parts so that they grow as one. Understanding the components of a graft is key to answering this question.
A) Stem — In grafting, a piece of stem (the scion) from one plant is joined to the stem or root system (the rootstock) of another plant. Both the scion and the part of the rootstock above ground are essentially stem tissue. The stem contains the vascular cambium, which is crucial for the successful union of the two parts.
This question asks why red is chosen for danger signals. The answer lies in the properties of light, specifically how different colours of light interact with the atmosphere, which affects their visibility over distances, especially in adverse conditions.
Correct Option: B) Red light has a longer wavelength and is scattered the least, making it visible from a distance.
This is a coding-decoding problem where we need to find the code for a specific word by comparing common words and their corresponding codes across different given statements.
Analyze the given statements:
Find common words between statements and their common codes:
From the comparison of Statement 1 and Statement 2, we directly found that 'land' corresponds to 'ph'.
Correct Option: A) ph
The question asks about the physical properties of compounds within a homologous series. A homologous series is a series of organic compounds with the same functional group but differing by a \(\text{CH}_2\) unit. We need to analyze how physical properties like melting and boiling points change across such a series.
C) They have a regular change in melting and boiling points. As the molecular mass increases within a homologous series, the intermolecular forces become stronger, leading to a gradual and regular increase in melting and boiling points.
This problem involves the relationship between simple interest (SI) and compound interest (CI) over two years. We can use the given values of SI and CI to find the interest rate and then the principal amount. A key concept here is that the difference between CI and SI for two years is the interest earned on the first year's simple interest.
Understand the given information:
Calculate SI for 1 year:
Since simple interest is the same for each year,
\[ \text{SI for 1 year} = \frac{\text{SI for 2 years}}{2} = \frac{56}{2} = \text{₹}28 \]Calculate the difference between CI and SI for 2 years:
This difference represents the interest earned on the first year's simple interest.
\[ \text{Difference} = \text{CI} - \text{SI} = 64 - 56 = \text{₹}8 \]Determine the rate of interest (R):
The difference of ₹8 is the interest earned on the first year's SI (₹28) for one year. We can use the simple interest formula: \[\text{Interest} = \frac{\text{Principal} \times \text{Rate} \times \text{Time}}{100}\].
Here, Interest = ₹8, Principal = ₹28 (SI for 1st year), Time = 1 year.
\[ 8 = \frac{28 \times R \times 1}{100} \] \[ R = \frac{8 \times 100}{28} = \frac{800}{28} = \frac{200}{7}\% \]Calculate the Principal (P):
Now, use the simple interest formula for 1 year with the calculated rate and SI for 1 year.
\[ \text{SI for 1 year} = \frac{P \times R \times 1}{100} \] \[ 28 = \frac{P \times \frac{200}{7} \times 1}{100} \] \[ 28 = \frac{P \times 200}{700} \] \[ 28 = \frac{2P}{7} \] \[ P = \frac{28 \times 7}{2} = 14 \times 7 = \text{₹}98 \]Correct Option: B) 98