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Chapter 2: Problem 322

Assertion: (A) If both Assertion - Reason are true, reason is correct explanation of Assertion. (B) If both Assertion - Reason are true but reason is not correct explanation of Assertion. (C) Assertion is true but Reason is false. (D) If Reason is true but Assertion is false At the highest point of projectile motion the velocity is not zero. Reason: Only the vertical component of velocity is zero. Where as horizontal component still exists. (A) a (B) \(\mathrm{b}\) (C) \(\mathrm{c}\) (D) \(\mathrm{d}\)

Short Answer

Expert verified
The short answer for this question is: (A) Both the Assertion and Reason are true, and the Reason is the correct explanation for the Assertion.

Step by step solution

01

Identify the Assertion and Reason

The Assertion is the claim "At the highest point of projectile motion the velocity is not zero." The Reason given here is "Only the vertical component of velocity is zero. Whereas horizontal component still exists."
02

Analyse the Assertion

The Assertion claims that at the highest point of a projectile's motion, the velocity is not zero. This is correct. When a projectile is at its highest point, its vertical velocity component is indeed zero; however, its horizontal velocity remains constant due to the absence of any horizontal forces (in case of neglecting air resistance). Hence, the full velocity of the projectile (a vector quantity) is not zero.
03

Analyse the Reason

The Reason provided is "Only the vertical component of velocity is zero. Whereas horizontal component still exists." This statement is also true. When a projectile is at its peak, the upward motion decreases to zero due to gravity, resulting in a zero vertical velocity. Nonetheless, the absence of any horizontal force keeps the horizontal velocity constant.
04

Assess if Reason provides a correct explanation of Assertion

The Reason states the exact factors causing the situation described in the Assertion, explaining that only the vertical component of velocity is zero, while the horizontal component still exists. Hence, the Reason provides an accurate explanation for why the velocity of a projectile is not zero at its highest point. So the answer to the given exercise is: (A) Both the Assertion and Reason are true, and the Reason is the correct explanation for the Assertion.

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Most popular questions from this chapter

A car covers one third part of its straight path with speed \(\mathrm{V}_{1}\) and the rest with speed \(\mathrm{V}_{2}\). What is its average speed? (A) $\left[\left(3 \mathrm{v}_{1} \mathrm{v}_{2}\right) /\left(2 \mathrm{v}_{1}+\mathrm{v}_{2}\right)\right]$ (B) $\left[\left(2 \mathrm{v}_{1} \mathrm{v}_{2}\right) /\left(3 \mathrm{v}_{1}+\mathrm{v}_{2}\right)\right]$ (C) $\left[\left(3 \mathrm{v}_{1} \mathrm{v}_{2}\right) /\left(\mathrm{v}_{1}+2 \mathrm{v}_{2}\right)\right]$ (D) $\left[\left(3 \mathrm{v}_{1} \mathrm{v}_{2}\right) /\left(2 \mathrm{v}_{1}+2 \mathrm{v}_{2}\right)\right]$

Two bodies of masses \(\mathrm{m}_{1}\) and \(\mathrm{m}_{2}\) are dropped from heights \(\mathrm{H}\) and \(2 \mathrm{H}\) respectively. The ratio of time taken by the bodies to touch the ground is ... (A) \((1 / 2)\) (B) 2 (C) \((1 / \sqrt{2})\) (D) \((\sqrt{2} / 1)\)

\(\mathrm{A}^{-}+\mathrm{B}^{-}\) is perpendicular to \(\mathrm{A}^{-}\) and \(\left|\mathrm{B}^{-}\right|=2\left|\mathrm{~A}^{-}+\mathrm{B}^{-}\right|\) What is the angle between \(\mathrm{A}^{-}\) and \(\mathrm{B}^{\rightarrow}\) \((\mathrm{A})(\pi / 6)\) (B) \((5 \pi / 6)\) (C) \((2 \pi / 3)\) (D) \((\pi / 3)\)

Train \(A\) is \(56 \mathrm{~m}\) long and train \(\mathrm{B} 54 \mathrm{~m}\) long. They are travelling in opposite direction with velocity $15(\mathrm{~m} / \mathrm{s})\( and \)5(\mathrm{~m} / \mathrm{s})$ respectively. The time of crossing is. (A) \(12 \mathrm{~s}\) (B) \(6 \mathrm{~s}\) (C) \(3 \mathrm{~s}\) (D) \(18 \mathrm{~s}\)

Out of the following pairs of forces, the resultant of which can not be $18 \mathrm{~N}$ (A) \(11 \mathrm{~N}, 7 \mathrm{~N}\) (B) \(11 \mathrm{~N}, 8 \mathrm{~N}\) (C) \(11 \mathrm{~N}, 29 \mathrm{~N}\) (D) \(11 \mathrm{~N}, 5 \mathrm{~N}\)
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