This question tests understanding of Newton's First Law of Motion and the concept of net force. Newton's First Law states that an object in motion will stay in motion with the same speed and in the same direction unless acted upon by an unbalanced force. This implies that if an object is moving with a constant velocity, its acceleration is zero, and therefore, the net force acting on it must be zero.
Understand Constant Velocity: The problem states that the object travels with a "constant velocity". Velocity is a vector quantity, meaning it has both magnitude (speed) and direction. If the velocity is constant, it means both the speed and the direction of motion are unchanging.
Relate Velocity to Acceleration: Acceleration is defined as the rate of change of velocity. Mathematically, acceleration \(a\) is given by:
\[ a = \frac{\Delta v}{\Delta t} \]where \(\Delta v\) is the change in velocity and \(\Delta t\) is the change in time. Since the velocity is constant, there is no change in velocity (\(\Delta v = 0\)).
Calculate Acceleration: If \(\Delta v = 0\), then the acceleration \(a\) must also be zero:
\[ a = \frac{0}{\Delta t} = 0 \]Apply Newton's Second Law: Newton's Second Law of Motion states that the net force (\(F_{\text{net}}\)) acting on an object is equal to the product of its mass (\(m\)) and its acceleration (\(a\)).
\[ F_{\text{net}} = m \times a \]Determine Net Force: Since the acceleration \(a = 0\), substituting this into Newton's Second Law gives:
\[ F_{\text{net}} = m \times 0 = 0 \]Therefore, the net force acting on the object is zero.
Correct Option: C) zero. An object moving with constant velocity has zero acceleration. According to Newton's Second Law (\(F_{\text{net}} = ma\)), if acceleration \(a=0\), then the net force \(F_{\text{net}}\) must also be zero.
The question asks to identify the item that does not belong to the group. This implies that most items share a common characteristic, and one item deviates from it. We need to analyze the given options and find a common classification for three of them, while the fourth one falls into a different category.
Carrot is a root vegetable, meaning the edible part is the root of the plant. The other options (Broccoli, Ridge gourd, Bitter gourd) are all edible parts that grow above the ground, specifically a flower (broccoli) or fruits (ridge gourd and bitter gourd).
To find the average speed of an object, we need to calculate the total distance traveled and divide it by the total time taken. The problem provides two segments of travel with their respective distances and times.
The object travels 18 m in the first segment and 16 m in the second segment.
\[ \text{Total Distance} = \text{Distance}_1 + \text{Distance}_2 \]\[ \text{Total Distance} = 18 \text{ m} + 16 \text{ m} = 34 \text{ m} \]The object takes 4 s for the first segment and 2 s for the second segment.
\[ \text{Total Time} = \text{Time}_1 + \text{Time}_2 \]\[ \text{Total Time} = 4 \text{ s} + 2 \text{ s} = 6 \text{ s} \]Average speed is defined as the total distance divided by the total time.
\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \]\[ \text{Average Speed} = \frac{34 \text{ m}}{6 \text{ s}} \]\[ \text{Average Speed} \approx 5.666... \text{ m/s} \]Rounding 5.666... to two decimal places gives 5.67. The unit for speed is meters per second (m/s or \(\text{ms}^{-1}\)).
\[ \text{Average Speed} \approx 5.67 \text{ ms}^{-1} \]Correct Option: D) 5.67 ms⁻¹
Which pattern, of the ones shown in the below options, resembles closest to:
The task is to identify which option most closely resembles the given pattern in the question diagram. The focus should be on the shape and orientation of the trapezoid and the position of the smiley face.
Correct Option: A) The trapezoid and the position of the smiley face match the question diagram.
This is an analogy question where we need to find the relationship between the first pair of words and then apply the same relationship to the second pair to find the missing word.
Correct Option: A) Hands — Gloves are worn on the hands, providing protection and warmth, just as shoes are worn on the feet (part of the legs).
This is a syllogism problem that can be solved using Venn diagrams or by applying the rules of logical deduction. We need to assume the given statements are true, regardless of common knowledge, and determine which conclusions logically follow.
D) All the conclusions follow. Both conclusions 1 and 2 are logically derived from the given statements.
The question asks to identify the sport Limba Ram is associated with. This requires general knowledge about famous Indian sportspersons and their respective fields.
Correct Option: B) Archery
The question asks to identify the state government that launched the toll-free helpline number '14417' for students in 2018. This is a factual recall question related to government initiatives and current affairs of that period.
B) Tamil Nadu: The Tamil Nadu government indeed launched the toll-free helpline number '14417' in 2018 to provide information and support to students, covering aspects like career guidance, examination stress, and general academic queries.
To find the power supplied by the source to the resistor, we need to use the formula for electrical power, which relates voltage and current. The question provides the voltage of the source and the current flowing through the resistor.
The power (\(P\)) supplied to a component in an electrical circuit is given by the product of the voltage (\(V\)) across it and the current (\(I\)) flowing through it:
\[ P = V \times I \]The unit of power is Watts (\(\text{W}\)).
Correct Option: C) 1.0 W
The question asks about the occasion on which the Maharashtra government launched the Asmita Yojana. This requires knowledge of current affairs and specific government schemes.
Correct Option: D) International Women’s Day