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2 years ago

RATIO of longest wavelengths corresponding to Lyman and Balmer series in hydrogen spectrum is:

Physics

2 answers:

katen-ka-za [31]2 years ago

8 0

Answer:

Explanation:

Hope it is helpful....

adell [148]2 years ago

5 0

Answer:

$5/27$

Explanation:

wavelengths for Lyman series

$\lambda=\frac{1}{R(1-\frac{1}{4} })=\frac{4}{3R}$

wavelengths for Balmer series

$\lambda_B=\frac{1}{R(\frac{1}{4}-\frac{1}{9}) } =\frac{1}{R(\frac{5}{36}) } =\frac{36}{5R}$

$\frac{ \lambda_L}{ \lambda_B} =\frac{4}{3R} \times\frac{5R}{36} =5/27$

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From the question given above, the following data were obtained:

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This can be also understood in terms of conservation of energy: when the ball is tossed up, initially it has kinetic energy

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where m is the ball's mass and v is the initial speed. As it goes up, this kinetic energy is converted into potential energy, and when the ball reaches the highest point, all the kinetic energy has been converted into potential energy:

$U=mgh$

where g is the gravitational acceleration and h is the height of the ball at highest point. At that point, therefore, the potential energy is maximum, while the kinetic energy is zero, and so the velocity is also zero.

(b) 9.8 m/s upward

We can find the velocity of the ball 1 s before reaching its highest point by using the equation:

$a=\frac{v-u}{t}$

where

a = g = -9.8 m/s^2 is the acceleration due to gravity, which is negative since it points downward

v = 0 is the final velocity (at the highest point)

u is the initial velocity

t = 1 s is the time interval

Solving for u, we find

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where

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Substituting, we find

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$F=mg$

where

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$a= g = -9.8 m/s^2$

and the negative sign means it points downward.

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