The question asks about the factors affecting the resistivity of a material. Resistivity is an intrinsic property of a material, unlike resistance, which depends on the dimensions of the conductor. We need to identify which of the given options influences this intrinsic property.
From this formula, we can express resistivity as:
\[ \rho = R \frac{A}{L} \]D) Temperature is the correct answer. The resistivity of a material is an intrinsic property that is highly dependent on its temperature. Changes in temperature affect the atomic vibrations and electron scattering within the material, thereby altering its ability to conduct electricity.
The reactivity of metals is determined by their tendency to lose electrons and form positive ions. This tendency is generally summarized in the reactivity series (also known as the activity series) of metals. Metals higher in the series are more reactive than those lower down.
Correct Option: A) K > Na > Zn > Cu > Hg > Ag is the correct order based on the standard reactivity series of metals.
To determine the day of the week for a given date, we use the concept of "odd days". Odd days are the number of days remaining after dividing the total number of days by 7. We need a reference point, which is usually a known day for a specific date, or we can use a standard calendar algorithm. For competitive exams, it's common to use a base date like January 1, 1 AD, and calculate odd days from there, or use a known reference date. Since no reference date is given, we will calculate the odd days from the beginning of the calendar (1 AD) up to the day before the given date.
The number of odd days in 100 years = 5
The number of odd days in 200 years = \(2 \times 5 = 10 \equiv 3\) odd days
The number of odd days in 300 years = \(3 \times 5 = 15 \equiv 1\) odd day
The number of odd days in 400 years = \(4 \times 5 + 1\) (for the leap year) \( = 21 \equiv 0\) odd days
This pattern repeats every 400 years. So, 2000 years will have 0 odd days.
We need to count odd days for the years from 2001 to 2011 (i.e., 11 full years).
Number of leap years between 2001 and 2011: 2004, 2008 (2 leap years)
Number of ordinary years between 2001 and 2011: \(11 - 2 = 9\) ordinary years
Odd days from leap years = \(2 \times 2 = 4\) odd days
Odd days from ordinary years = \(9 \times 1 = 9\) odd days
Total odd days from 2001 to 2011 = \(4 + 9 = 13\) odd days
Convert to odd days modulo 7: \(13 \div 7 = 1\) remainder \(6\). So, 6 odd days.
We need to count days from January 1, 2012, to January 11, 2012.
Total days = 11 days
Convert to odd days modulo 7: \(11 \div 7 = 1\) remainder \(4\). So, 4 odd days.
Total odd days = (Odd days from 2000 years) + (Odd days from 2001-2011) + (Odd days in Jan 2012)
Total odd days = \(0 + 6 + 4 = 10\) odd days
Convert to odd days modulo 7: \(10 \div 7 = 1\) remainder \(3\). So, 3 odd days.
We use the convention:
Since we have 3 odd days, the day of the week is Wednesday.
C) Wednesday — Based on the calculation of odd days, 11 January 2012 falls on a Wednesday.
The question asks to identify the personality who received the Padma Shri 2022 award in the sports field from the given options. This requires knowledge of the Padma Awards recipients for the year 2022, specifically in the sports category.
C) Avani Lekhara — Avani Lekhara is an Indian para-shooter who won a gold medal in the 10m air rifle standing and a bronze medal in the 50m rifle 3 positions at the 2020 Tokyo Paralympics. She was awarded the Padma Shri in 2022 for her exceptional contributions to sports.
The non-metallic character of elements generally depends on their ability to gain electrons, which is related to electronegativity and ionization energy. In a group, non-metallic character decreases down the group. We need to identify the element in Group 16 that is highest in the group.
Correct Option: B) Oxygen (O) has the maximum non-metallic character among the given options because it is the first element in Group 16, and non-metallic character decreases down the group.
Panchayati Raj Institutions in India have been established following which amendment of the Constitution of India?
42nd Amendment Act
57th Amendment Act
64th Amendment Act
73rd Amendment Act
The question asks to identify the Constitutional Amendment Act responsible for establishing Panchayati Raj Institutions in India. This requires knowledge of significant constitutional amendments related to local self-governance.
Correct Option: D) 73 rd Amendment Act
The 73rd Constitutional Amendment Act, 1992, granted constitutional status to Panchayati Raj Institutions (PRIs). It mandated the establishment of a three-tier system of Panchayats (Gram Panchayat, Block Panchayat, and District Panchayat) in states with a population exceeding 20 lakhs, provided for regular elections, reservation of seats for Scheduled Castes, Scheduled Tribes, and women, and devolved powers and responsibilities to these bodies for economic development and social justice.
The question asks about substances that are selectively reabsorbed from the initial filtrate in the nephron. This process is crucial for maintaining the body's fluid and electrolyte balance and retaining essential nutrients. We need to identify which of the given options correctly lists these reabsorbed substances.
Correct Option: C) Glucose, water, salts, and amino acids
The question asks to identify the rule used to determine the direction of induced current when a coil moves in a magnetic field. This phenomenon is related to electromagnetic induction, where motion causes a change in magnetic flux, leading to an induced electromotive force (EMF) and thus an induced current. We need to recall the specific rules associated with determining the direction of force, magnetic field, or induced current in different scenarios.
Correct Option: D) Fleming’s right-hand rule is used to determine the direction of the induced current when a conductor (or a coil) moves in a magnetic field, cutting the magnetic field lines. The thumb points in the direction of motion of the conductor, the forefinger points in the direction of the magnetic field, and the middle finger then indicates the direction of the induced current.
The problem involves decoding a pattern in a given code language. We need to identify the rule by which letters are transformed and then apply that rule to the new word "DIRTYING".
Correct Option: B) WRIGBRMT is the correct code for DIRTYING, based on the identified pattern of replacing each letter with its opposite in the alphabet.
To find the value of \(X\), we need to simplify the given equation by expressing all terms with the same base, which is 2. Then, we can use the properties of exponents to solve for \(X\).
C) 11 — By expressing all terms with the common base 2 and applying the rules of exponents, we found that \(X = 11\).