Home
Class 11
PHYSICS
Rain is falling vertically downwards wit...

Rain is falling vertically downwards with a speed of `4 km h^-1`. A girl moves on a straight road with a velocity of `3 km h^-1`. The apparent velocity of rain with respect to the girl is.

A

`3 km h^-1`

B

`4 km h^-1`

C

`5 km h^-1`

D

`7 km h^-1`

Text Solution

Verified by Experts

The correct Answer is:
C
( c) `vec v_(r//g) = vec v_r + (-vec v _g)`
=`vec v_r - vec v_g = -4 hat j - 3 hat i`
`v_(r//g) = sqrt(v_r^2 + v_g^2)`
=`sqrt(16 + 9) km h^-1 = 5 km h^-1`.
.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KINEMATICS-2

    CENGAGE PHYSICS|Exercise Exercise Multiple Correct|11 Videos

  • KINEMATICS-2

    CENGAGE PHYSICS|Exercise Exercise Assertion - Reasoning|5 Videos

  • KINEMATICS-2

    CENGAGE PHYSICS|Exercise Exercise Subjective|40 Videos

  • KINEMATICS-1

    CENGAGE PHYSICS|Exercise Integer|9 Videos

  • KINETIC THEORY OF GASES

    CENGAGE PHYSICS|Exercise Compression|2 Videos

Similar Questions

Explore conceptually related problems

(A): Rain is falling vertically downwards with velocity 6 km/hr. A man walks with a velocity of 8 km/hr. Relative velocity of rain w.r.t. the man is 10km/hr. (R): Relative velocity is the ratio of two velocities.

Statement-1 : Rain is falling vertically downwards with velocity 6 km/h. A man walks with a velocity of 8 km/h. Relative velocity of rain w.r.t. the man is 10 km/h. Statement-2 : Relative velocity is the ratio of two velocities

Knowledge Check

  • Rain is falling vertically with a velocity of 3 kmh^-1 . A man walks in the rain with a velocity of 4 kmh^-1 . The rain drops will fall on the man with a velocity of

    A
    5`kmh^-1`
    B
    4`kmh^-1`
    C
    3`kmh^-1`
    D
    1`kmh^-1`

  • A man starts running along a straight road with uniform velocity observes that the rain is falling vertically downward. If he doubles his speed, he finds that the rain is coming at an angle theta to the vertical. The velocity of rain with respect to the ground is :

    A
    `uhati-utanthetahatj`
    B
    `uhati-ucotthetahatj`
    C
    `uhati+ucotthetahatj`
    D
    `(u)/(tantheta)hati-uhatj`

  • A man running along a straight road with uniform velocity vecu=uhati feels that the rain is falling vertically down along - hatj . If he doubles his speed, he finds that the rain is coming at an angle theta with the vertical. The velocity of the rain with respect to the ground is

    A
    ui-uj
    B
    `uhati-u/(tan theta)hatj`
    C
    `2uhati+u cot theta hatj`
    D
    `ui + u sin theta hatj`

    • Similar Questions

    Explore conceptually related problems

    Rain is falling vertically downwards with a velocity of 2m//s. A person is runing to the North with a velocity of 2sqrt(3) m/s. Find out the velocity and direction of rain as appeared to the person.

    A person walking ,on a horizontal road at 2 km/h finds that the rain is falling vertically . Now the person increasses his speed to 4 km/h and find that rain makes an angle 45^(@) with the vertical . Find the velocity of rain with respect to the road.

    A man is walking on a level road at a speed of 3.2 km^(-1) . Rain drops fall vertically with a speed of 4.0 km h^(-1) . Find the velocity of the raindrops with respect to the man. In which direction, the man should hold his umbrella to protect himself from rain ?

    The rain is falling vertically downward with velocity 6m//s and a man is moving horizontally with velocity 8m//s . Find the velocity of rain with respect to the man.

    A man is walking due west with a velocity 3 km//h and rain appears to be falling vertically with a velocity 4km//h . Find the velocity of rain with respect to the ground.

    Home
    Profile