The question asks to identify the only person who has received the Nobel Prize in Physics twice as of 2020. This requires knowledge of Nobel laureates and their respective fields and number of awards.
John Bardeen is the only person to have won the Nobel Prize in Physics twice. He received his first Nobel Prize in Physics in 1956 for the invention of the transistor, and his second in 1972 for the theory of superconductivity (BCS theory).
Marie Curie received two Nobel Prizes, but only one was in Physics (1903 for radioactivity) and the other was in Chemistry (1911 for the discovery of polonium and radium).
A) John Bardeen is the correct answer. He received the Nobel Prize in Physics twice: in 1956 and in 1972.
The question asks to identify the inventor of Bluetooth. This is a factual recall question related to technology history. We need to identify the individual credited with the invention or significant development of Bluetooth technology.
Correct Option: D) Jaap Haartsen is widely recognized as the inventor of Bluetooth technology. He developed the specification while working at Ericsson in 1994.
The question asks to identify the route of the second Vande Bharat Express. This requires knowledge of the operational routes of the Vande Bharat Express trains in India.
D) New Delhi to Katra is the correct route for the second Vande Bharat Express.
The question asks about the number of members nominated by the President to the Lok Sabha from the Anglo-Indian community. This provision was a specific constitutional arrangement that has since been discontinued. We need to recall the original constitutional provision regarding this nomination.
C) 2 — Article 331 of the Indian Constitution empowered the President to nominate not more than two members from the Anglo-Indian community to the Lok Sabha if he felt they were not adequately represented. This provision was discontinued by the 104th Constitutional Amendment Act, 2019.
The question asks to identify a noble gas from the given options. Noble gases are a group of chemical elements with similar properties; under standard conditions, they are all odorless, colorless, monatomic gases with very low chemical reactivity. They are located in Group 18 of the periodic table.
Correct Option: D) Argon is a noble gas, characterized by its full outer electron shell and chemical inertness. It is the third most abundant gas in the Earth's atmosphere.
The question asks about the default number of worksheets present in a new Excel workbook in MS Office 2010. This is a factual question related to the default settings of Microsoft Excel.
Correct Option: C) 3
In Microsoft Excel 2010, a new workbook by default contains 3 worksheets (Sheet1, Sheet2, and Sheet3).
The question asks about the number of languages listed in the Eighth Schedule of the Indian Constitution as of 2021. This is a factual question related to the Indian Constitution. Candidates need to recall the current number of scheduled languages.
B) 22 is the correct answer because, as of 2021, the Eighth Schedule of the Indian Constitution lists 22 languages. These include Assamese, Bengali, Bodo, Dogri, Gujarati, Hindi, Kannada, Kashmiri, Konkani, Maithili, Malayalam, Manipuri, Marathi, Nepali, Odia, Punjabi, Sanskrit, Santhali, Sindhi, Tamil, Telugu, and Urdu.
This problem involves calculating the distance given two different speeds and the corresponding time differences. We can use the fundamental relationship between distance, speed, and time: \(\text{Distance} = \text{Speed} \times \text{Time}\). By setting up equations based on the given information for both scenarios, we can solve for the unknown distance.
Let the distance between Vinod's residence and office be \(D\) km.
Let the usual time taken to reach the office be \(T\) hours.
Scenario 1: Speed is 30 km/h, reaches 5 min late.
Time taken \(= T_1\) hours.
Since he is 5 min late, \(T_1 = T + 5 \text{ min}\).
Convert minutes to hours: \[5 \text{ min} = \frac{5}{60} \text{ hours} = \frac{1}{12} \text{ hours}\].
So, \(T_1 = T + \frac{1}{12}\).
Using the formula \(\text{Distance} = \text{Speed} \times \text{Time}\):
\[ D = 30 \times \left(T + \frac{1}{12}\right) \quad \ldots (1) \]Scenario 2: Speed is 40 km/h, reaches 3 min early.
Time taken \(= T_2\) hours.
Since he is 3 min early, \(T_2 = T - 3 \text{ min}\).
Convert minutes to hours: \[3 \text{ min} = \frac{3}{60} \text{ hours} = \frac{1}{20} \text{ hours}\].
So, \(T_2 = T - \frac{1}{20}\).
Using the formula \(\text{Distance} = \text{Speed} \times \text{Time}\):
\[ D = 40 \times \left(T - \frac{1}{20}\right) \quad \ldots (2) \]Now we have two expressions for \(D\). Equate (1) and (2) to solve for \(T\):
\[ 30 \times \left(T + \frac{1}{12}\right) = 40 \times \left(T - \frac{1}{20}\right) \]\[ 30T + \frac{30}{12} = 40T - \frac{40}{20} \]\[ 30T + \frac{5}{2} = 40T - 2 \]Rearrange the terms to solve for \(T\):
\[ \frac{5}{2} + 2 = 40T - 30T \]\[ \frac{5}{2} + \frac{4}{2} = 10T \]\[ \frac{9}{2} = 10T \]\[ T = \frac{9}{20} \text{ hours} \]Substitute the value of \(T\) back into either equation (1) or (2) to find \(D\). Using equation (2):
\[ D = 40 \times \left(T - \frac{1}{20}\right) \]\[ D = 40 \times \left(\frac{9}{20} - \frac{1}{20}\right) \]\[ D = 40 \times \left(\frac{9-1}{20}\right) \]\[ D = 40 \times \frac{8}{20} \]\[ D = 2 \times 8 \]\[ D = 16 \text{ km} \]A) The calculated distance is 16 km, which matches option A.
To find the radius of the inscribed circle (inradius) in a right-angled triangle, we can use the formula that relates the lengths of the sides of the triangle to the inradius. First, we need to find the length of the hypotenuse using the Pythagorean theorem, and then apply the inradius formula.
Correct Option: D) 4 cm
The question asks for the year when the Atomic Energy (Amendment) Bill was passed by the Indian Parliament to allow joint ventures between public sector undertakings (PSUs) in nuclear power generation. This is a factual question related to Indian legislation in the energy sector.
Correct Option: D) The Atomic Energy (Amendment) Bill was passed by Parliament in 2015. This amendment allowed the Nuclear Power Corporation of India Limited (NPCIL) to enter into joint ventures with other public sector enterprises for nuclear power projects, thereby facilitating greater investment and expansion in the sector.