Home
Class 11
PHYSICS
A man holds an umbrella at 30^@ with the...

A man holds an umbrella at `30^@` with the vertical to keep himself dry. He, then, runs at a speed of `10ms^(-1)`, and find the rain drops to be hitting vertically. Study the following statement and find the correct options.
i. Velocity of rain w.r.t. Earth is `20 ms^(-1)`
ii. Velocity of rain w.r.t. man is `10 sqrt(3)ms^(-1)`.
iii. Velocity of rain w.r.t. Earth is `30 ms^(-1)`
iv. Velocity of rain w.r. t. man is `10sqrt(2) ms^(-1)` .

A

Statements (i) and (ii) are correct.

B

Statements (i) and (iii) are correct.

C

Statements (iii) and (iv) are correct.

D

Statements (ii) and (iv) are correct.

Text Solution

Verified by Experts

The correct Answer is:
A
a. `vecv_m = Velocity of man`
`vecv_(re)` = Velocity of rain w.r.t. earth
`vecv_(rm)` = Velocity of rain w.r.t. man
Velocity of man `|vecv_(m)| = 10ms^(-1)`
Using `sin30^@ = v_m/v_(re)`
`v_(re) = v_(m)/(sin30^@) = 10/(1//2) = 20ms^(-1)`.
`cos30^@ = v_(rm)/v_(re)`
`v_(rm) = v_(re)cos30 = (20xxsqrt3)/2 = 10sqrt3 ms^(-1)`.
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS KINEMATICS

    CENGAGE PHYSICS|Exercise Multiple Correct Answer Type|26 Videos

  • MISCELLANEOUS KINEMATICS

    CENGAGE PHYSICS|Exercise Linked Comprehension Type|35 Videos

  • LINEAR AND ANGULAR SIMPLE HARMONIC MOTION

    CENGAGE PHYSICS|Exercise Multiple Correct Answer Type|9 Videos

  • MISCELLANEOUS VOLUME 2

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|10 Videos

Similar Questions

Explore conceptually related problems

Which of the following statement is correct w.r.t. Neanderthal man?

Rain appears to fall vertically to a man walking at 3kmh^(-1) , but when he changes his speed to double, the rain appears to fall at 45^@ with vertical. Study the following statements and find which of them are correct. i. Velocity of rain is 2 (sqrt3) kmh^(-1) . ii. The angle of fall of rain (with vertical) is theta = tan^(-1)(1/(sqrt2)). iii. The angle of fall of rain (with vertical) is theta = sin^(-1) (1/(sqrt2)) . iv. Velocity of rain is 3(sqrt2)kmh^(-1) .

A man is running with a speed of 4 m/s, if he feels that rain drops are hitting him vertically with speed 3 m/s (along unit vector -hatj ) then what can be the velocity of rain:

A person standing on a road has to hold his umbrella at 60^(0) with the verticcal to keep the rain away. He throws the umbrella an starts running at 20 ms^(-1) . He finds that rain drops are hitting his head vertically. Find the speed of the rain drops wigh respect to (a) the road (b) the moving person.

A man standing on a road has to hold his umbrella at 30^0 with the veetical to keep the rain away. The throws the umbrella and starts running at 10 km/h. He finds tht raindrops are hitting his head vertically. Find the speed of raindrops with respect to a. the road, b. the moving man.

A man standing on a road has to hold his umbrella at 30^(@) with the vertical to keep the rain away. He throws the umbrella and starts running at 10km/hr. He finds that rain drop are hitting his head vertically. Find the speed of rain drops with respect to (a) road (b) the moving man.

A person standing on a road has to hold his umbrellat at 45^@ with the vertical to deep the rain away . He throws the umbtella and starts running at 30 ms^(-1) . He find that the rain drops are hitting his head vertically. Fing the speed of the rain drops with respect to (a) road (b) the moving person.

A man running at a speed of 5 km/h finds that the rain is falling vertically. When the stops running, the finds that the rain is falling at an angle of 60^(@) with the horizontal. The velocity of rain with respect to running man is

The velocituy of particle (P) due east is 4 ms^(-1) due South,. What is the velocity of P w.r.t. Q ?

To a man going with a speed of 5 ms^-1 , rain appears to be falling vertically. If the actual speed of rain is 10 m s^-1 , then what is the angle made by rain with the vertical ?