The question asks to identify the biological process that releases oxygen into the atmosphere. We need to recall the primary functions and products of each given option.
Based on this analysis, photosynthesis is the only process among the options that releases oxygen into the air.
A) Photosynthesis is the process where plants use sunlight, water, and carbon dioxide to create food (glucose) and release oxygen as a byproduct into the atmosphere.
The speed of sound depends on the properties of the medium through which it travels. Specifically, it is influenced by the elasticity (or stiffness) and density of the medium. We need to compare these properties across gases, vacuum, liquids, and solids to determine where sound travels fastest.
Understand Sound Propagation: Sound is a mechanical wave, meaning it requires a medium to propagate. It travels by causing vibrations in the particles of the medium, which then transmit these vibrations to adjacent particles.
Factors Affecting Sound Speed: The speed of sound (\(v\)) in a medium is generally given by the formula:
\[ v = \sqrt{\frac{K}{\rho}} \]where \(K\) is the bulk modulus (a measure of the medium's elasticity or stiffness) and \(\rho\) is the density of the medium.
Compare Elasticity and Density across Media:
Conclusion: Based on the comparison, solids have the highest elasticity and density, which together result in the fastest speed of sound. The high stiffness of solids allows them to transmit vibrational energy very rapidly.
Correct Option: D) Solids
Which of the following is true?
\( \frac{9}{16} \) <\( \frac{13}{24} \)
\( \frac{9}{16} \) = \( \frac{13}{24} \)
\( \frac{9}{16} \)>\( \frac{13}{24} \)
\( \frac{9}{16} \)<\( \frac{13}{24} \)
To compare two fractions, we can use several methods:
We will use the cross-multiplication method as it is generally efficient for comparing two fractions.
We need to compare the fractions \( \frac{9}{16} \) and \( \frac{13}{24} \).
Using the cross-multiplication method, we multiply the numerator of the first fraction by the denominator of the second, and the numerator of the second fraction by the denominator of the first.
Compare \( 9 \times 24 \) with \( 13 \times 16 \).
Calculate the products:
Now, compare the products:
\( 216 \) is greater than \( 208 \).
So, \( 216 > 208 \).
Since \( 9 \times 24 > 13 \times 16 \), it implies that \[\frac{9}{16} > \frac{13}{24}\].
C) \[\frac{9}{16} > \frac{13}{24}\]
As determined by cross-multiplication, \( 216 > 208 \), which means \[\frac{9}{16} > \frac{13}{24}\].
A) \[\frac{9}{16} < \frac{13}{24}\]
This is incorrect because our calculation shows \( 216 > 208 \), meaning the first fraction is greater, not less than, the second.
B) \[\frac{9}{16} = \frac{13}{24}\]
This is incorrect because \( 216 \neq 208 \). The fractions are not equal.
D) \[\frac{9}{16} < \frac{13}{24}\]
This option is identical to option A and is incorrect for the same reason.
The question asks for the definition of work done in physics. Work done is a fundamental concept in mechanics, defined by the interaction between a force and the displacement it causes.
Correct Option: A) A force acts on an object and the object is displaced in the direction of the force. This statement perfectly aligns with the definition of work done in physics, where both a force and a displacement in the direction of the force are necessary.
The question asks to identify the scenario that best illustrates Newton's third law of motion. Newton's third law states that for every action, there is an equal and opposite reaction. We will analyze each option based on this principle.
C) The launching of a rocket. This is a classic example of Newton's third law. The rocket expels exhaust gases downward (action), and the gases exert an equal and opposite force upward on the rocket (reaction), propelling it.
The question asks about the purpose of the Uday Kotak Committee constituted in 2017. This requires knowledge of significant committees formed by regulatory bodies in India and their specific mandates.
Correct Option: D) corporate governance
The question asks about the site of implantation of a fertilised egg (zygote) in the female reproductive system. To answer this, one needs to recall the journey of the egg after fertilisation and the specific organ responsible for supporting embryonic development.
Correct Option: D) The uterus is the primary organ where the fertilised egg (zygote, which develops into a blastocyst) implants and develops throughout pregnancy. Its inner lining, the endometrium, is specifically adapted to receive and nourish the embryo.
The question asks to identify the specific type of force that acts towards the center when a body moves in a circular path. This is a fundamental concept in rotational dynamics.
Correct Option: C) centripetal force — This is the correct term for the force that acts towards the center of a circular path, causing an object to move in that path.
56 ÷ \( \frac{1}{3} \) of (15 + 12 − (9 + 6 − \(\overline{5+7}\))) =?
To solve this problem, we need to follow the order of operations, often remembered by the acronym BODMAS/PEMDAS. This means we first solve operations inside Brackets (or Parentheses), then Orders (exponents/roots), then Division and Multiplication (from left to right), and finally Addition and Subtraction (from left to right). The vinculum (bar over numbers) acts as a grouping symbol, so operations under it must be performed first.
The expression is \(5+7\). So, we calculate this first.
\[ 5+7 = 12 \]The innermost bracket is \((9 + 6 - \overline{5+7})\). Substituting \(12\) for \(\overline{5+7}\):
\[ (9 + 6 - 12) \]\[ (15 - 12) \]\[ 3 \]The next bracket is \((15 + 12 - (\text{result from step 2}))\). Substituting \(3\):
\[ (15 + 12 - 3) \]\[ (27 - 3) \]\[ 24 \]The expression is \(\frac{1}{3}\) of \((24)\). "Of" means multiplication.
\[ \frac{1}{3} \times 24 \]\[ 8 \]The original expression is \(56 \div (\text{result from step 4})\). Substituting \(8\):
\[ 56 \div 8 \]\[ 7 \]B) The final calculated value is 7.
The question asks to identify the first Indian city to implement robot-controlled traffic. This is a factual question related to technological advancements in urban management in India.
B) Indore was the first city in India to deploy a robot for traffic control. This initiative was part of its smart city projects aimed at improving traffic management and reducing human intervention at busy junctions. The traffic robot, named "Smart Traffic Robot," was introduced in 2017 at the MR-9 intersection.