- Home
- Standard 11
- Physics
3-2.Motion in Plane
medium
મહતમ અવધિ માટે અવધિ અને ઉડ્ડયન સમયના વર્ગનો ગુણોતર
A
$\frac{g}{2}$
B
$\frac{g}{5}$
C
$\frac{g}{10}$
D
$\frac{g}{12}$
(AIIMS-2019)
Solution
The maximum range of projectile motion is given as,
$R=\frac{u^{2} \sin 2 \theta}{g}$
The time of flight of projectile motion is given as,
$T=\frac{2 u \sin \theta}{g}$
The square of time of flight of projectile motion is,
$T^{2}=\left(\frac{2 u \sin \theta}{g}\right)^{2}$
$=\frac{4 u^{2} \sin ^{2} \theta}{g^{2}}$
The ratio of maximum range and square of time of flight in projectile motion is calculated as,
$\frac{R}{T^{2}}=\frac{\frac{u^{2} \sin 2 \theta}{g}}{\frac{4 u^{2} \sin ^{2} \theta}{g^{2}}}$
$=\frac{g}{2} \cot \theta$
Standard 11
Physics
Similar Questions
medium
