logo
or
search
upload

A man wlaking briskly in rain with speed v must slant his umbrella forward making an angle theta with the vertical . A student derives the following relation between theta and v : <br> tan theta=v <br> and checks that the relations has a correct limit : as v rarr 0, theta rarr 0 , as expected . (We are assuming there is no string wing and that the rains falls vertically for a stationary man). Do you think this relation can be correct ? If not, guess at the correct relation .

Apne doubts clear karein ab Whatsapp par bhi. Try it now.
CLICK HERE

Loading DoubtNut Solution for you

Watch 1000+ concepts & tricky questions explained!

11.4 K+ views | 10.6 K+ people like this

   
Share
Share

Answer Text

Solution :
According to principle of homogenity of dimensional equations, Dimensions of `L.H.S. =` Dimensions of `R.H.S.` <br> Here, `v =tan theta` <br> i.e., `[L^(1) T^(-1)] =` dimensionless, which is incorrect <br> Correcting the `L.H.S.` we. Get <br> `v//u=tan theta`, where u is velocity of rain.

Related Video

3:03
A man walking briskly in rain with speed v must slant his umbrella forward making an angle `theta` with the vertical. A student derives the following relation between `theta` and v: `tan theta` = v and checks that the relation has a correct limit : as `vtoo, thetato0`, as expected , (we are assuming there is no strong wind and that the rain falls vertically for a stationary man.) Do you think this relation can be correct ? If you, guess the correct relation.

8.0 K+ Views | 300+ Likes

2:37
s.get('ocr_text')

12.4 K+ Views | 600+ Likes

5:41
A cyclist tilts to make an angle `theta` with level ground as he takes a circular turn of radius r. If the speed of the cycle is v, show that tan`theta `= rg/`v^(2)`

1.0 K+ Views | 53 Likes

5:55
s.get('ocr_text')

500+ Views | 27 Likes

4:24
Statement -1 : A man standing on the ground has to hold his umbrella at an angle ` theta` with the vertical to protect himself from rain. It is possible that the man now starts running on the ground with certain speed, but he still has to hold his umbrella at angle ` theta` with the vertical to protect himself from rain. <br> Statement -2 : Vertical component of velocity of rain w.r.t man does not change. if he starts running on a horizontal ground.

35.2 K+ Views | 1.8 K+ Likes

1:24
s.get('ocr_text')

15.3 K+ Views | 700+ Likes

1:59
Aparticle moves with a speed `v` changes direction by an angle `theta`, without change in speed.

90.8 K+ Views | 4.5 K+ Likes

3:46
s.get('ocr_text')

264.5 K+ Views | 62.8 K+ Likes

2:55
A projectile thrown with a speed v at an angle `theta` has a range R on the surface of earth. For same v and `theta`, its range on the surface of moon will be

116.4 K+ Views | 5.8 K+ Likes

s.get('ocr_text')

2.7 K+ Views | 2.6 K+ Likes

8:49
A boy runs on a horizontal road with a speed of 4 m/s while it is raining. <br> He sees that the rain is making an angle `theta` with the vertical while running from west to east. <br> However , when he runs from east to west, the angle is `alpha`. <br> The rain is pouring down at an angle `45^@` with the vertical normal and at a speed of 8 m/s as shown in the figure. the ratio `(tan theta) /(tan alpha)` is <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/ARH_5Y_SP_03_05_19_02_E02_004_Q01.png" width="80%">

25.2 K+ Views | 2.6 K+ Likes

s.get('ocr_text')

171.2 K+ Views | 129.8 K+ Likes

4:18
Find the speed of the block B when the wedges A and C are moving toward each other with speed v and the strings connected to block make and angle `theta` with the vertical, as shown in figure <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/GAL_PHY_MEC_V01_C01_E01_093_Q01.png" width="80%">

31.0 K+ Views | 1.6 K+ Likes

5:07
s.get('ocr_text')

190.4 K+ Views | 32.8 K+ Likes

A cyclist is riding on a cycle with speed v and while negotiating a circular path of radius r, he leans at an angle `theta` with the ground. Then, what will be the value of tan`theta`?

1.5 K+ Views | 800+ Likes

bottom open in app