Four bodies P, Q, R and S are projected with | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The horizontal range $R$ of a projectile is given by the formula $R = \frac{u^2 \sin(2	heta)}{g}$,where $u$ is the initial velocity,$	heta$ is t

Vedclass · Accepted Answer

$P$

Vedclass · Answer

(A) The horizontal range $R$ of a projectile is given by the formula $R = \frac{u^2 \sin(2	heta)}{g}$,where $u$ is the initial velocity,$	heta$ is the angle of projection,and $g$ is the acceleration due to gravity.Since $u$ and $g$ are constant for all bodies,the range $R$ depends on $\sin(2	heta)$.For the given angles:For $P$: $	heta = 15^o$,$2	heta = 30^o$,$\sin(30^o) = 0.5$For $Q$: $	heta = 30^o$,$2	heta = 60^o$,$\sin(60^o) \approx 0.866$For $R$: $	heta = 45^o$,$2	heta = 90^o$,$\sin(90^o) = 1.0$For $S$: $	heta = 60^o$,$2	heta = 120^o$,$\sin(120^o) = \sin(60^o) \approx 0.866$Comparing the values of $\sin(2	heta)$,the smallest value is $0.5$,which corresponds to body $P$ $(15^o)$.Thus,body $P$ has the shortest range.

Four bodies $P, Q, R$ and $S$ are projected with equal velocities having angles of projection $15^o, 30^o, 45^o$ and $60^o$ with the horizontal respectively. The body having the shortest range is

Similar Questions

Let electronegativity,ionisation energy and electron affinity be represented as $EN$,$IP$ and $EA$ respectively. Which one of the following equations is correct according to Mulliken?

$A$ body takes $1\frac{1}{3}$ times as much time to slide down a rough inclined plane as it takes to slide down an identical but smooth inclined plane. If the angle of the inclined plane is $45^\circ$,the coefficient of friction is:

Which plant group exhibits a haplodiplontic life cycle pattern?

Which of the following is the family of sunflower?

$A$ thin semi-circular ring of radius $r$ has a positive charge $q$ distributed uniformly over it. The net electric field $\vec{E}$ at the center $O$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module