What is the median for the set of data?<br><br> 6, 7, 10, 12, 12, 13<br><br> 12<br> 7<br> 10<br> 11

A string passing over a smooth pulley carries a stone at one end. While its other end is attached to a vibrating tuning fork and

nasty-shy [4]

Answer:

correct option is C) 2.8

Step-by-step explanation:

given data

string vibrates form = 8 loops

in water loop formed = 10 loops

solution

we consider mass of stone = m

string length = l

frequency of tuning = f

volume = v

density of stone = $\rho$

case (1)

when 8 loop form with 2 adjacent node is $\frac{\lambda }{2}$

so here

$l = \frac{8 \lambda _1}{2}$ ..............1

$l = 4 \lambda_1\\\\\lambda_1 = \frac{l}{4}$

and we know velocity is express as

velocity = frequency × wavelength .....................2

$\sqrt{\frac{Tension}{mass\ per\ unit \length }}$ = f × $\lambda_1$

here tension = mg

so

$\sqrt{\frac{mg}{\mu}}$ = f × $\lambda_1$ ..........................3

and

case (2)

when 8 loop form with 2 adjacent node is $\frac{\lambda }{2}$

$l = \frac{10 \lambda _1}{2}$ ..............4

$l = 5 \lambda_1\\\\\lambda_1 = \frac{l}{5}$

when block is immersed

equilibrium eq will be

Tenion + force of buoyancy = mg

T + v × $\rho$ × g = mg

and

T = v × $\rho$ - v × $\rho$ × g

from equation 2

f × $\lambda_2$ = f × $\frac{1}{5}$

$\sqrt{\frac{v\rho _{stone} g - v\rho _{water} g}{\mu}} = f \times \frac{1}{5}$ .......................5

now we divide eq 5 by the eq 3

$\sqrt{\frac{vg (\rho _{stone} - \rho _{water})}{\mu vg \times \rho _{stone}}} = \frac{fl}{5} \times \frac{4}{fl}$

solve irt we get

$1 - \frac{\rho _{stone}}{\rho _{water}} = \frac{16}{25}$

so

relative density $\frac{\rho _{stone}}{\rho _{water}} = \frac{25}{9}$

relative density = 2.78 ≈ 2.8

so correct option is C) 2.8

3 0

3 years ago

The total cost C for p pounds of lithium if each pound cost $5.44

Vikki [24]

c + p = $5.44

That's the equation

3 0

3 years ago

Read 2 more answers

The x co-ordinate of any point lying on the Y axis is: please help urgent

olchik [2.2K]

Answer:

x-coordinate = 0

Step-by-step explanation:

In a coordinate plan there are two perpendicular lines one is x-axis and another is y-axis

x-axis is a horizontal line and y-axis is a vertical line.

Both lines intersect each other at (0,0).

On x-axis, y-coordinate remains same , i.e., y=0.

On y-axis, x-coordinate remains same , i.e., x=0.

Therefore, the x co-ordinate of any point lying on the y axis is 0.

8 0

2 years ago

Step 1: A poll of 1500 college students were asked whether or not they had used the Internet to find a place to live sometime wi

trapecia [35]

Answer:

n = 1500

Step-by-step explanation:

The sample size is the number of students that were asked

n = 1500

5 0

3 years ago

Please help! I don't know how to do slopes.

fomenos

The slope of the given line in the image is -4 , Option A is the answer.

<h3>What is the equation of a straight line ?</h3>

The equation of the straight line is given by

y =mx +c ,

Where m is the slope , C is the intercept

The line is passing through the point

(-1,8) ,(2,-4)

The slope is given by

m = (y₂-y₁) /(x₂-x₁)

m = (-4 - 8 )/(2 +1)

m = -12/3

m = -4

Therefore the slope of the given line in the image is -4 , Option A is the answer.

To know more about Straight Line equation

brainly.com/question/959487

#SPJ1

3 0

1 year ago

What is the median for the set of data? 6, 7, 10, 12, 12, 13 12 7 10 11