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

Channel:
Subscribers:
451,000
Published on ● Video Link: https://www.youtube.com/watch?v=1kg1z2Bppjw



Duration: 5:30
0 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 \( a \), \( b \) are positive constants. Then match the physical quantities given in column-1 with the values given in column-II. ( \( g \) in column II is acceleration due to gravity.)
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column I } & \multicolumn{2}{c|}{ Column II } \\
\hline (A) & \begin{tabular}{l}
Horizontal component of \\
velocity
\end{tabular} & (P) & \( \frac{a}{b} \) \\
\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}
\begin{tabular}{lllll}
& A & B & C & D \\
(1) & R & S & Q & P \\
(2) & R & S & P & Q \\
(3) & S & P & Q & S \\
(4) & R & P & S & Q
\end{tabular}
W.


📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2024-01-22A particle is moving on circle of radius \( \mathrm{R} \) with velocity \( v \). Another particl....
2024-01-22A particle of mass \( m \) begins to slide down a fixed smooth sphere from the top with negligib....
2024-01-22The figure shows the velocity and acceleration of a point like body at the initial moment of its....
2024-01-22One end of a string of length \( \ell \) is connected to a particle of mass \( m \) and the othe....
2024-01-22The kinetic energy \( \mathrm{K} \) of a particle moving along a circle of radius \( \mathrm{R} ....
2024-01-22Two identical trains take \( 3 \mathrm{sec} \) to pass one another when going in the opposite di....
2024-01-22At an instant particle-A is at origin and moving with constant velocity \( (3 \hat{i}+4 \hat{j})....
2024-01-22Consider a case in which, the driver of a car travelling at a high speed suddenly sees a wall at....
2024-01-22A small ball rolls of the top of a stairway horizontally with a velocity of \( 4.5 \mathrm{~m} \....
2024-01-22If the radii of circular paths of two particles of same masses are in the ratio of \( 1: 2 \), t....
2024-01-22A particle is projected from level ground. Assuming projection point as origin. \( x \)-axis alo....
2024-01-22On horizontal smooth surface a mass of \( 2 \mathrm{~kg} \) is whirled in a horizontal circle by....
2024-01-22Passage From the ground level, a ball is to be shot with a certain speed. Graph shows the range ....
2024-01-22A Bomber flying upward at a angle of \( 53^{\circ} \) with the vertical releases a bomb at an al....
2024-01-22During the circular motion with constant speed:....
2024-01-22A particle of mass \( m \) is moving with constant velocity \( \vec{v} \) on smooth horizontal s....
2024-01-22A particle is projected from a point on the ground with an initial velocity of \( u=50 \mathrm{~....
2024-01-22From the ground level, a ball is to be shot with a certain speed. Graph shows the range \( (\mat....
2024-01-22To cross the river in shortest distance, a swimmer should swim making angle \( \theta \) with th....
2024-01-22A man who is wearing a hat of extended length of \( 12 \mathrm{~cm} \) is running in rain fallin....
2024-01-22A light body is projected with a velocity \( (10 \hat{i}+20 \hat{j}+20 \hat{k}) \mathrm{ms}^{-1}....