Question
What is the length of the pipe?
Answer:
(a) 0.52m
(b) f2=640 Hz and f3=960 Hz
(c) 352.9 Hz
Explanation:
For an open pipe, the velocity is given by

Making L the subject then

Where f is the frequency, L is the length, n is harmonic number, v is velocity
Substituting 1 for n, 320 Hz for f and 331 m/s for v then

(b)
The next two harmonics is given by
f2=2fi
f3=3fi
f2=3*320=640 Hz
f3=3*320=960 Hz
Alternatively,
and 

(c)
When v=367 m/s then

Density= population/area
area= 12 X 7 = 84 m^2
density= 168/84= 2 mice per m^2
Answer:
371.2 mm
Explanation:
The Balmer series of spectral lines is obtained from the formula
1/λ = R(1/2² -1/n²) where λ = wavelength, R = Rydberg's constant = 1.097 × 10⁷ m⁻¹
when n = 15
1/λ = 1.097 × 10⁷ m⁻¹(1/2² -1/15²)
= 1.097 × 10⁷ m⁻¹(1/4 -1/225)
= 1.097 × 10⁷ m⁻¹(0.25 - 0.0044)
= 1.097 × 10⁷ m⁻¹ 0.245556
= 2.693 10⁶ m⁻¹
So,
λ = 1/2.693 10⁶ m⁻¹
= 0.3712 10⁻⁶ m
= 371.2 mm
Answer:
the answer to this question is 288
Answer:
Explanation:
tangential acceleration at = 3.1 m / s²
angular acceleration = tangential accn / radius
= 3.1 / r , r is radius of the cylinder .
IF N₁ be no of rotation in time t
θ = 1/2 α t² , α is angular acceleration , θ is angle in radian covered in time t
2π N₁ = 1/2 (3.1 / r ) x 2.9²
N₁ = 2.0757 / r
similarly we can calculate
2πN₂ = 1/2 (3.1 / r ) x 10²
N₂ = 24.68 / r
N₂ / N₁ = 11.89