The question asks about the products formed when pyruvate undergoes fermentation in yeast. This process is a key part of anaerobic respiration in yeast, leading to the production of specific end products.
C) Ethanol and carbon dioxide — This is the correct answer. In alcoholic fermentation carried out by yeast, pyruvate is decarboxylated to acetaldehyde, which is then reduced to ethanol. Carbon dioxide is released during the decarboxylation step.
To find the surface area of a sphere, we first need to determine its radius from the given diameter. Then, we can use the standard formula for the surface area of a sphere.
Identify the given information:
The diameter of the sphere (\(D\)) is given as 14 cm.
Calculate the radius of the sphere:
The radius (\(r\)) is half of the diameter.
Recall the formula for the surface area of a sphere:
The surface area (\(A\)) of a sphere is given by the formula:
Substitute the value of the radius into the formula:
Using \(\pi \approx \frac{22}{7}\), we substitute \(r = 7\ \text{cm}\) into the formula:
Calculate the surface area:
Simplify the expression:
Correct Option: C) 616 cm²
This question relates to the principles of electromagnetic induction, specifically Faraday's Law of Induction, which governs how an AC generator produces electricity. We need to understand the relationship between the speed of rotation of the armature and the induced potential difference (voltage) and current.
where \(\mathcal{E}\) is the induced EMF, \(N\) is the number of turns in the coil, and \(\frac{d\Phi_B}{dt}\) is the rate of change of magnetic flux.
The maximum induced EMF (peak potential difference) is \(\mathcal{E}_{\text{max}} = NBA\omega\).
D) induced potential difference increases. As derived from Faraday's Law, the induced EMF (potential difference) is directly proportional to the rate of change of magnetic flux. Rotating the armature faster increases the rate at which the magnetic flux changes through the coil, thus increasing the induced potential difference.
Starting from point P, Sheetal walks 50 m towards the west. She takes a right turn and walks 20 m. Then she takes a left turn and walks 47 m. She takes a left turn again and walks 75 m. Again, she takes a left turn and walks 47 m. She takes a left turn again and walks 20 m. Then she takes a right turn and walks 50 m. Finally, she takes a left turn and walks 10 m to reach point Q. How far and in which direction is point P from point Q? (All turns are 90° turns only.)
35 m due north
25 m due north
25 m due south
15 m due north
To find the final position relative to the starting point, we will track Sheetal's movements in the East-West and North-South directions separately. We'll assign positive values for East and North movements and negative values for West and South movements.
Wait, let's recheck the calculation for Y:
Total Y displacement: \(+20 - 75 + 20 + 10 = 50 - 75 = -25 \text{ m}\).
This means point Q is 25 m South of point P. Let's re-read the question carefully: "How far and in which direction is point P from point Q?"
If Q is 25 m South of P, then P is 25 m North of Q.
Therefore, point P is 25 m due north from point Q.
Correct Option: B) 25 m due north
To find the volume of a cuboid, we need to multiply its length, breadth, and height. The formula for the volume of a cuboid is \(V = l \times b \times h\).
Thus, the volume of the cuboid is 60 cm³.
Correct Option: A) 60 cm³
The question asks to identify the type of system that 'e-RUPI' is, based on its description as a pre-paid system for cashless transactions launched by NPCI. We need to evaluate each option against the characteristics of e-RUPI.
Correct Option: D) voucher
e-RUPI is a cashless and contactless instrument for digital payments. It is a pre-paid, purpose-specific, and person-specific digital payment solution. It functions like a voucher, where a specific amount is pre-paid for a specific purpose (e.g., healthcare, education, fertilizer subsidies) and delivered to beneficiaries in the form of an SMS string or a QR code. The beneficiary can redeem the e-RUPI voucher at the service provider without needing a card, digital payments app, or internet banking access.
The value of \(\left(\frac{64}{25}\right)^{-\frac{3}{2}}\times\left(\frac{2}{5}\right)^4\div\sqrt[5]{(32)^{-3}}\) is:
\(\frac{8}{25}\)
\(\frac{1}{20}\)
\(\frac{1}{5}\)
\(\frac{1}{10}\)
To solve this problem, we need to simplify each term in the given expression using the laws of exponents and then perform the multiplication and division operations. The key is to express all numbers as powers of their prime factors and handle negative and fractional exponents correctly.
Correct Option: B) The simplified value of the expression is \(\frac{1}{20}\).
The question asks us to evaluate two statements related to J.W. Döbereiner's contributions to chemistry and identify whether they are true or false. We need to recall historical facts about Döbereiner's work on catalysts and his triads, as well as his professional background.
B) Both the statements are true. As explained above, Döbereiner's work on platinum catalysis and his Law of Triads are well-documented historical facts in chemistry. His academic position at the University of Jena is also historically accurate.
The question asks about the characteristics and connection of a fuse wire. We need to evaluate two statements: (a) its connection in a circuit and (b) the property of the material it's made from.
A fuse is a safety device designed to protect electrical circuits from overcurrent. For it to effectively break the circuit and stop the flow of current when an overcurrent occurs, it must be connected in series with the device or the circuit it is protecting. If connected in parallel, it would not interrupt the main current path. Therefore, statement (a) is correct.
The primary function of a fuse is to melt and break the circuit when the current exceeds a safe limit. This action relies on the Joule heating effect, where heat generated is proportional to the square of the current (\(H = I^2Rt\)). For the fuse to melt quickly and protect the circuit, the material it is made from must have a low melting point. Common materials include alloys of lead and tin. Therefore, statement (b) is correct.
Both statements (a) and (b) are correct regarding the properties and function of a fuse wire.
Correct Option: A) Both (a) and (b)
To find the population of the town at the end of the third year, we need to apply the percentage changes sequentially to the initial population. We will first calculate the increase for the first two years and then the decrease for the third year.
Correct Option: D) 14,742