A stone is dropped from the top of a tower 500 m high into a pond of water at the base of the tower. When is the splash heard at the top? Given, g = 10 ms^–2 and speed of sound = 340 ms^–1.

Solution

First, we find the time taken by the stone to reach the base of the tower.
We use the relation,
$space space space space space space space space space space space space space straight s space equals space ut space plus space 1 half gt squared space space space space space space space space space space space space space... left parenthesis 1 right parenthesis H e r e comma space D i s tan c e comma space straight s space equals space 500 space straight m Initial space velocity comma space space space space straight u space equals space 0 P u t t i n g space t h e s e space v a l u e s space i n space f o r m u l a space left parenthesis 1 right parenthesis comma space A c c e l e r a t i o n space d u e space t o space g r a v i t y comma space straight g space equals space 10 space ms to the power of negative 2 end exponent space therefore space space space space space space space 500 space equals space 0 space plus space 1 half space cross times space 10 space cross times space straight t squared rightwards double arrow space space space space space space space space straight t squared space equals space 500 over 5 space equals space 100 rightwards double arrow space space space space space space space straight t space equals space 10 space straight s$
Time taken by sound to travel from base of the tower to its top,
$straight t apostrophe space equals space fraction numerator Distance over denominator Speed space of space sound end fraction space equals space fraction numerator 500 space straight m over denominator 340 space ms to the power of negative 1 end exponent end fraction space equals space 1.47 space straight s$
$Total space time space after space which space the space splash space is space heard space space space space space space space space equals straight t space plus space straight t apostrophe space equals space 10 plus 1.47 space equals space 11.47 space straight s. space$

Some More Questions From Is Matter Around Us Pure Chapter

Which separation techniques will you apply for the separation of the following?

Fine mud particles suspended in water.

Write the steps you would use for making tea. Use the words—solution, solvent, solute, dissolve, soluble, insoluble, filtrate and residue.

Pragya tested the solubility of three different substances at different temperatures and collected the data as given below (results are given in the following table, as grams of substance dissolved in 100 grams of water to form a saturated solution).

Substance Dissolved

Temperature in K

283

293

313

333

353

Potassium nitrate

21

32

62

106

107

Sodium chloride

36

36

36

37

37

Potassium chloride

35

35

40

46

54

Ammonium chloride

24

37

41

55

66

What mass of potassium nitrate would be needed to produce a saturated solution of potassium nitrate in 50 grams of water at 313 K?

Pragya makes a saturated solution of potassium chloride in water at 353 K and leaves the solution to cool at room temperature. What would she observe as the solution cools? Explain.

Substance Dissolved

Temperature in K

283

293

313

333

353

Potassium nitrate

21

32

62

106

107

Sodium chloride

36

36

36

37

37

Potassium chloride

35

35

40

46

54

Ammonium chloride

24

37

41

55

66

Find the solubility of each salt at 293 K. Which salt has the highest solubility at this temperature?

Substance Dissolved

Temperature in K

283

293

313

333

353

Potassium nitrate

21

32

62

106

107

Sodium chloride

36

36

36

37

37

Potassium chloride

35

35

40

46

54

Ammonium chloride

24

37

41

55

66

Pragya tested the solubility of three different substances at different temperatures and collected the data as given below (results are given in the following table, as grams of substance dissolved in 100 grams of water to form a saturated solution).

Substance Dissolved

Temperature in K

283

293

313

333

353

Potassium nitrate

21

32

62

106

107

Sodium chloride

36

36

36

37

37

Potassium chloride

35

35

40

46

54

Ammonium chloride

24

37

41

55

66

What is the effect of change of temperature on the solubility of a salt?

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Is Matter Around Us Pure

A stone is dropped from the top of a tower 500 m high into a pond of water at the base of the tower. When is the splash heard at the top? Given, g = 10 ms^–2 and speed of sound = 340 ms^–1.

Some More Questions From Is Matter Around Us Pure Chapter

Which separation techniques will you apply for the separation of the following?

Fine mud particles suspended in water.

Write the steps you would use for making tea. Use the words—solution, solvent, solute, dissolve, soluble, insoluble, filtrate and residue.

Explain the following giving examples:

Saturated solution

Explain the following giving examples:

Pure substance

Explain the following giving examples:

Colloid

Explain the following giving examples:

Suspension

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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Email Address

Loaction

Substance Dissolved	Temperature in K
Substance Dissolved	283	293	313	333	353
Potassium nitrate	21	32	62	106	107
Sodium chloride	36	36	36	37	37
Potassium chloride	35	35	40	46	54
Ammonium chloride	24	37	41	55	66

For Daily Free Study Material Join wiredfaculty

Is Matter Around Us Pure

A stone is dropped from the top of a tower 500 m high into a pond of water at the base of the tower. When is the splash heard at the top? Given, g = 10 ms–2 and speed of sound = 340 ms–1.

Some More Questions From Is Matter Around Us Pure Chapter

Which separation techniques will you apply for the separation of the following?Fine mud particles suspended in water.

Write the steps you would use for making tea. Use the words—solution, solvent, solute, dissolve, soluble, insoluble, filtrate and residue.

Find the solubility of each salt at 293 K. Which salt has the highest solubility at this temperature? Substance Dissolved Temperature in K 283 293 313 333 353 Potassium nitrate 21 32 62 106 107 Sodium chloride 36 36 36 37 37 Potassium chloride 35 35 40 46 54 Ammonium chloride 24 37 41 55 66

Explain the following giving examples:Saturated solution

Explain the following giving examples:Pure substance

Explain the following giving examples:Colloid

Explain the following giving examples:Suspension

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A stone is dropped from the top of a tower 500 m high into a pond of water at the base of the tower. When is the splash heard at the top? Given, g = 10 ms^–2 and speed of sound = 340 ms^–1.

Which separation techniques will you apply for the separation of the following?

Fine mud particles suspended in water.

Explain the following giving examples:

Saturated solution

Explain the following giving examples:

Pure substance

Explain the following giving examples:

Colloid

Explain the following giving examples:

Suspension