Home
Class 12
PHYSICS
If the air resistance causes a vertical ...

If the air resistance causes a vertical retardation of 10% of value of acceleration due to gravity, then the time of flight of an oblique projectile will be decreased by nearly:

A

0.06

B

0.07

C

0.08

D

0.09

Text Solution

Verified by Experts

The correct Answer is:
D
Here `t=(2vsintheta)/g`
and `t.=(2vsintheta)/(g + (gxx10)/100)=(2vsintheta)/(11/10.g)`
or `t/(t.)=11/10`
Then %age increase =`(t-t.)/txx100`
`=(11-10)/11xx100approx9%`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DESCRIPTION OF MOTION IN TWO AND THREE DIMENSION

    MODERN PUBLICATION|Exercise MCQ(LEVEL-III)(Questions from AIEEE/ JEE Examinations)|6 Videos

  • DESCRIPTION OF MOTION IN TWO AND THREE DIMENSION

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|7 Videos

  • DESCRIPTION OF MOTION IN TWO AND THREE DIMENSION

    MODERN PUBLICATION|Exercise Revision TEST|36 Videos

  • DESCRIPTION OF MOTION IN ONE DIMENSION

    MODERN PUBLICATION|Exercise Revision Test|45 Videos

  • E.M. INDUCTION AND A.C. CURRENTS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|31 Videos

Similar Questions

Explore conceptually related problems

As you have learnt in the text, a geostationary satellite orbits the earth at a height of nearly 36,000 km from the surface of the earth. What is the potential due to earth’s gravity at the site of this satellite ? (Take the potential energy at infinity to be zero). Mass of the earth = 6.0 xx 10^(24) kg." radius" = 6400 km .

The value of acceleration due to gravity at a height of 10km form the surface of earth is x. At what depth inside the earth is the value of the acceleration due to gravity has the same value x?

Knowledge Check

  • If both the mass and radius of earth decrease by 1% the value of acceleration due to gravity will decrease by nearly:

    A
    `1% `
    B
    `2%`
    C
    `1.5%`
    D
    `2.5%`

  • If retardation produced by air resistance of projectile is one-tenth of acceleration due to gravity, the time to reach maximum height:

    A
    decreases by 11 percent
    B
    increases by 11 percent
    C
    decreases by 9 percent
    D
    increases by 9 percent

  • A star shrinks suddenly and its density increases 10 times its original value. The acceleration due to gravity increases by a factor of :

    A
    `10^(-9)`
    B
    `10^(-6)`
    C
    `10^(6)`
    D
    `10^(9)`

    • Similar Questions

    Explore conceptually related problems

    The value of acceleartion due to gravity at a height of 10 km from the surface of earth is x. At what depth inside the ea rth is the value of the acceleration due to gravity has the same value x ?

    A player throws a ball upwards with an initial speed of 29.4 ms^(-1) . (a) What is the direction of acceleration during the upward motion of the ball ? (b) What are the velocity and acceleration of the ball at the highest point of its motion ? (c) Choose the x = 0 m and t = 0 s to be the location and time of the ball at its highest point, vertically downward direction to be the positive direction of x-axis, and give the signs of position, velocity and acceleration of the ball during its upward, and downward motion. (d) To what height does the ball rise and after how long does the ball return to the player’s hands ? (Take g = 9.8 ms^(-2) and neglect air resistance).

    If the mass of a planet is 10% less than that of the earth and the radius 20% greater than that of earth, the acceleration due to gravity on the planet will be:

    An object falling through a static water column is observed to have an acceleration given by the relation ang-bu where g is acceleration due to gravity and 'b' is a constant. After sufficiently long time of its release, it is observed to fall with a constant speed. What must be the value of its constant speed ?

    A bird of mass 1.23 kg is able to hover by imparting a downward velocity 10 m/s uniformly to air of density rho" kg"//"m"^(3) over an effective area 0.1" m"^(2) . If the acceleration due to gravity is 10" m"//"s"^(2) , then the magnitude of rho in "kg"//"m"^(3) is :

    Home
    Profile