A substance that contains more hydroxide ions than hydronium ions in solution could have which pH value

Final answer:

Doubling the frequency of a transverse wave on a string would result in the wavelength of the wave being halved. This is due to the inverse relationship between frequency and wavelength in the context of wave speed remaining constant.

Explanation:

When considering a transverse wave travelling on a string, if the frequency is suddenly doubled, then the wavelength would be cut in half rather than any other given option. This is because the speed of a wave is determined by the medium through which it travels—in this case, the string—rather than its frequency or amplitude. Because the speed remains constant when the frequency doubles, the only factor left to adjust is the wavelength, according to the wave speed equation 'v = fλ', where 'v' is wave speed, 'f' is frequency, and 'λ' is wavelength. Thus, frequency and wavelength have an inverse relationship: if frequency increases (doubles, in this case), wavelength must decrease (halve) to maintain the constant wave speed.

Learn more about Transverse Wave here:

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Answer:

As the projectile starts it’s motion from a vertical height at y=10m, it’s vertical motion may be described as under-

y= 10+ut-0.5gt^2

Where “u” is initial vertical velocity

= 45 sin60,

“g” is acceleration due to the gravity (10m/sec^2)

and “t” is time.

When the projectile touches the ground the vertical height “y”=0

Therefore the time “t” taken for the flight of the projectile till it touches the ground may be calculated from the above equation when y=0 as under -

0= 10+45sin60 x t- 0.5x10 t^2

0= 10+45x (√3/2)x t-5 t^2

t^2-9x (√3/2)x t-2 =0

t= [4.5√3 + √(243/4+4)]/2

t=[7.794+ 8.047]/2

t= 7.92 sec.

The horizontal distance travelled during this time=

vt

Where “v” is horizontal velocity = 45 cos60.

Therefore,

vt =45cos60 x 7.92

= 45x0.5x7.92

= 178.2 m

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