To find the kinetic energy of the bicycle, we need to use the formula for kinetic energy, which relates the mass and speed of an object. We will substitute the given values into this formula and calculate the result.
The kinetic energy (\(KE\)) of an object is given by the formula:
\[ KE = \frac{1}{2} m v^2 \]Substitute \(m = 10 \text{ kg}\) and \(v = 20 \text{ m/s}\) into the kinetic energy formula:
\[ KE = \frac{1}{2} \times 10 \text{ kg} \times (20 \text{ m/s})^2 \]Correct Option: A) The kinetic energy of the bicycle is 2000 J.
The question asks about elements that exhibit variable valency. Variable valency, also known as variable oxidation states, refers to the ability of an element to form chemical bonds with different numbers of electrons, resulting in different oxidation states. We need to identify which class of elements commonly displays this property.
B) Transition elements are well-known for exhibiting variable valency due to the involvement of both their outermost s-electrons and the electrons from their penultimate d-orbitals in bonding.
The question asks for India's economic ranking in 2017 according to the World Bank. This requires knowledge of global economic statistics for that specific year.
Correct Option: C) 6
The question asks about the political party affiliation of Manohar Parrikar, who was the Chief Minister of Goa as of March 2018. This requires knowledge of contemporary Indian politics, specifically the political landscape of Goa and the prominent political figures.
Correct Option: C) Manohar Parrikar was a prominent leader of the Bharatiya Janata Party (BJP) and served as the Chief Minister of Goa multiple times, including in March 2018.
In the circle below, chord \(\overline{AB}\) is extended to meet the tangent \(\overline{DE}\) at D. If \(\overline{AB}\) = 24 cm and \(\overline{DE}\) = 9 cm, what is the length of \(\overline{BD}\)?
To solve this problem, we use the property of tangents and secants intersecting outside a circle. Specifically, the power of a point theorem, which states that if a tangent and a secant are drawn from a point outside a circle, then the square of the length of the tangent is equal to the product of the lengths of the entire secant segment and its external part.
Correct Option: B) 3 cm
The question asks to identify the group of organisms where vessels are the major water-conducting cells. This requires knowledge of plant anatomy and the evolution of vascular tissues across different plant groups and other kingdoms.
B) Angiosperms are flowering plants that have highly developed vascular systems. Their xylem tissue contains vessels, which are wide, continuous tubes that are very efficient at transporting water and minerals from the roots to the rest of the plant. Vessels are the primary water-conducting elements in most angiosperms.
The problem is a coding-decoding question. We need to identify the pattern used to code "YELL" as "2551212" and then apply the same pattern to code "LENT". The most common pattern in such questions involves assigning numerical values to letters based on their alphabetical position.
B) 1251420 — This matches the code derived by concatenating the alphabetical positions of the letters in LENT.
To calculate the simple interest earned, we use the formula for simple interest: \(I = \frac{P \times R \times T}{100}\), where \(P\) is the principal amount, \(R\) is the rate of interest per annum, and \(T\) is the time in years.
The formula for simple interest is:
\[ I = \frac{P \times R \times T}{100} \]So, Sarathi will earn an interest of Rs 1,250.
Correct Option: C) 1,250
To determine if a number is divisible by 12, we need to check if it is divisible by both 3 and 4. This is because \(12 = 3 \times 4\), and 3 and 4 are coprime numbers.
Let's apply these rules to each option:
All given options are divisible by 4. Now we need to check for divisibility by 3.
Only option C (83508) is divisible by both 3 and 4.
Correct Option: C) 83508
The question asks to identify the individual appointed as the UN Environment's Goodwill Ambassador for India in 2017. This is a factual question related to current affairs and appointments by international organizations.
Correct Option: B) Dia Mirza was appointed as the UN Environment's Goodwill Ambassador for India in 2017. She is a well-known Indian actress, producer, and social worker who has been actively involved in environmental advocacy.