A particle is thrown with velocity u at an angle - from the horizontal- Another particle is thrown with the same velocity at an angle - from the vertical- The ratio of times of flight of two particles will beA- tan 2 - 1B- 2 - 1C- tan - 1D- - 1

The correct option is C For first particles angle of projection from the horizontal is a. So T_1=2u sin α/g For second particle angle of projection from the v ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Time of Flight

A particle is...

Question

A particle is thrown with velocity u at an angle $α$ from the horizontal. Another particle is thrown with the same velocity at an angle $α$ from the vertical. The ratio of times of flight of two particles will be

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C

For first particles angle of projection from the horizontal is a. So $T_{1} = \frac{2 u s i n α}{g}$

For second particle angle of projection from the vertical is $α$ . it mean from the horizontal is $90 - α$

$∴ T_{2} = \frac{2 u s i n (90 - α)}{g} = \frac{2 u c o s α}{g} .$ So ratio of time of flight $\frac{T_{1}}{T_{2}} = t a n α$ .

Suggest Corrections

Similar questions

Q. A particle is thrown with velocity

u

at an angle

α

from the horizontal. Another particle is thrown with the same velocity at an angle

α

from the vertical. What will be the ratio of times of flight of two particles?

Q. Particle A is released from a point P on a smooth inclined plane inclined at an angle

α

with the horizontal. At the same instant another particle B is projected with initial velocity

u

making an angle

β

with the horizontal. Both the particles meet again on the inclined plane. Find the relation between

α

and

β

Q. Particle A is released from a point P on a smooth inclined plane inclined at an angle

α

with the horizontal. At the same instant another particle B is projected with initial velocity

u

making an angle

β

with the horizontal. Both the particles meet again on the inclined plane. Find the relation between

α

and

β

Q. A particle is projected with a velocity

u,

at an angle

α,

with the horizontal. At what time its vertical component of velocity becomes half of its net speed at the highest point will be

Q. A particle is projected with a velocity

u

, at an angle

α

with the horizontal. Time at which its vertical component of velocity becomes half of its net speed at the highest point will be

Join BYJU'S Learning Program

A particle is thrown with velocity u at an angle α from the horizontal. Another particle is thrown with the same velocity at an angle α from the vertical. The ratio of times of flight of two particles will be

The correct option is C For first particles angle of projection from the horizontal is a. So T1=2u sin αg For second particle angle of projection from the vertical is α. it mean from the horizontal is 90−α ∴ T2=2u sin(90−α)g=2u cos αg. So ratio of time of flight T1T2=tan α.

A particle is thrown with velocity u at an angle $α$ from the horizontal. Another particle is thrown with the same velocity at an angle $α$ from the vertical. The ratio of times of flight of two particles will be