A particle is projected from level ground. Assuming projection point as origin, \( x \)-axis alo...

Channel:
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=o_Ut-wAgfC8



Duration: 9:13
7 views
0


A particle is projected from level ground. Assuming projection point as origin, \( x \)-axis along horizontal and \( y \)-axis along vertically upwards. If particle moves in \( x-y \) plane and its path is given by \( y=a x-b x^{2} \) where \( \mathrm{a}, \mathrm{b} \) are positive constants. Then match the physical quantities given in column-I with the values given in column-II. ( \( \mathrm{g} \) in column-II is acceleration due to gravity.)
\begin{tabular}{|l|l|c|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{c|}{ Column-II } \\
\hline A. & \( \begin{array}{l}\text { Horizontal component of } \\
\text { velocity }\end{array} \) & p. & \( a / b \) \\
\hline B. & Time of flight & q. & \( \frac{a^{2}}{4 b} \) \\
\hline C. & Maximum height & r. & \( \sqrt{\frac{g}{2 b}} \) \\
\hline D. & Horizontal range & s. & \( \sqrt{\frac{2 a^{2}}{b g}} \) \\
\hline
\end{tabular}
(1) A-(r); B-(s); C-(q); D-(p)
(2) A-(p); B-(s); C-(q); D-(r)
(3) A-(q); B-(r); C-(p); D-(s)
(4) A-(s); B-(r); C-(q); D-(p)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-06-19Assertion (A): A positive acceleration can be associated with slowing down of the body. Reason \...
2023-06-19Assertion (A): In a projectile motion, the vertical velocity of the particle is continuously dec...
2023-06-19Assertion (A): Horizontal range is same for angle of projection \( \theta \) and \( \left(90^{\c...
2023-06-19Assertion (A): In a projectile motion, the vertical velocity of the particle is continuously dec...
2023-06-19Statement-I: There can be no circular motion without centripetal force. Statement-II: Centripeta...
2023-06-19If \( \vec{v}_{\mathrm{mw}} \) is the velocity of a man relative to water, \( \vec{v}_{w} \) is ...
2023-06-19Assertion (A): In order to hit a target, a man should point his rifle at a point higher than the...
2023-06-19Assertion (A): The trajectory of an object moving under constant acceleration due to gravity can...
2023-06-19Statement-I: At highest point, the horizontal component of velocity is \( v_{x}=u \cos \theta \)...
2023-06-19A ball is projected from the ground with velocity \( v \) such that its range is maximum. \begin...
2023-06-19A particle is projected from level ground. Assuming projection point as origin, \( x \)-axis alo...
2023-06-19Statement-I: If circular motion of the object is uniform, the object will possess only centripet...
2023-06-19Statement-I: The time of flight of the projectile is largest for \( \theta=90^{\circ} \). \[ T_{...
2023-06-19Show by the Principle of Mathematical induction that the sum \( S_{n} \) of the \( n \) terms of...
2023-06-19Statement-I: In projectile motion, horizontal component ucos \( \theta \) of velocity u remains ...
2023-06-19A ball is thrown vertically upward in the air by a passenger (relative to himself) from a train ...
2023-06-19Statement-I: For a projectile, time of flight and maximum height depend on the vertical componen...
2023-06-19A projectile is projected from the ground with an initial speed of \( \mathrm{v} \) at an angle ...
2023-06-19A car is moving horizontally along a straight line with a uniform velocity of \( 25 \mathrm{~ms}...
2023-06-19A ball rolls off the top of a stairway horizontally with a velocity of \( 4.5 \mathrm{~ms}^{-1} ...
2023-06-19The projectiles A and B are thrown with the same speed such that \( A \) makes angle \( \theta \...