Home
Class 11
PHYSICS
A projectile is thrown with an initial v...

A projectile is thrown with an initial velocity of `[a hati + b hatj]m//s.` If the range of projectile is twice the maximum height reached by it, then

A

Statement-I is true, Statement-II is true, Statement-II is correct explanation for Statement-I

B

Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for Statement-I

C

Statement-I is true, Statement-II is false

D

Statement-I is false, Statement-II is true.

Text Solution

Verified by Experts

The correct Answer is:
A
For max. range `((u^(2) sin 2theta)/g)`, the projection angle `(theta)` should be `45^(@)`
So initial velocity `ai+bjrArr tan 45^(@)=b/arArr a=b`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KINEMATICS

    ALLEN|Exercise Comprehension#1|3 Videos

  • KINEMATICS

    ALLEN|Exercise Comprehension#2|5 Videos

  • KINEMATICS

    ALLEN|Exercise EXERCISE-03|6 Videos

  • ERROR AND MEASUREMENT

    ALLEN|Exercise Part-2(Exercise-2)(B)|22 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos

Similar Questions

Explore conceptually related problems

A projectile is thrown with an initial velocity of (a hati +b hatj) ms^(-1) . If the range of the projectile is twice the maximum height reached by it, then

A projectile is thrown with an initial velocity of (a hati + hatj) ms^(-1) . If the range of the projectile is twice the maximum height reached by it, then

Knowledge Check

  • A projectile is thrown with an initial velocity of (a hati +b hatj) ms^(-1) . If the range of the projectile is twice the maximum height reached by it, then

    A
    `b=a/2`
    B
    `b=a`
    C
    `b=2a`
    D
    b=4a

  • The speed of a projectile at its maximum height is sqrt3//2 times its initial speed. If the range of the projectile is n times the maximum height attained by it, n is equal to :

    A
    `(4)/(3)`
    B
    `2sqrt(3)`
    C
    `4sqrt(3)`
    D
    `(3)/(4)`

    • Similar Questions

    Explore conceptually related problems

    A projectile is thrown with an initial velocity of v = a hat i + b hat j . If the range of projectile is double the maximum height reached by it. Find the ratio (b)/(a) .

    A projectile is thrown with an initial velocity of v = a hat i + b hat j . If the range of projectile is double the maximum height reached by it. Find the ratio (b)/(a) .

    Statement-I : A projectile is thrown with an initial velocity of (ahat(i)+bhat(j)) m//s . If range of projectile is maximum then a=b . Statement-II : In projectile motion, angle of projection is equal to 45^(@) for maximum range condition.

    A projectile is projected from ground with an initial velocity (5hati+10hatj)m//s If the range of projectile is R m, time of flight is Ts and maximum height attained above ground is Hm, find the numerical value of (RxxH)/T . [Take g=10m//s^2 ]

    If the initial velocity of a projectile be doubled, keeping the angle of projection same, the maximum height reached by it will

    The speed of a projectile at its maximum height is sqrt3//2 times its initial speed. If the range of the projectile is n times the maximum height attained by it, n is equal to :

    Home
    Profile