Answer:
The angular magnification is 
Explanation:
From the question we are told
The focal length is 
The near point is 
The angular magnification is mathematically represented as

Substituting values

Answer:
Therefore the required solution is

Explanation:
Given vibrating system is

Consider U(t) = A cosωt + B sinωt
Differentiating with respect to t
U'(t)= - A ω sinωt +B ω cos ωt
Again differentiating with respect to t
U''(t) = - A ω² cosωt -B ω² sin ωt
Putting this in given equation


Equating the coefficient of sinωt and cos ωt
.........(1)
and

........(2)
Solving equation (1) and (2) by cross multiplication method


and 
Therefore the required solution is

Explanation:
Given that,
Initial volume of tank, V = 6 L
Initial pressure, P = 2 atm
We need to find the final pressure when the air is placed in tanks that have the following volumes if there is no change in temperature and amount of gas:
(a) V' = 1 L
It is a case of Boyle's law. It says that volume is inversely proportional to the pressure at constant temperature. So,

(b) V' = 2500 mL
New pressure becomes :

(c) V' = 750 mL
New pressure becomes :

(d) V' = 8 L
New pressure becomes :

Hence, this is the required solution.
Answer:
<em>d. unchanged.</em>
Explanation:
The frequency of a wave is dependent on the speed of the wave and the wavelength of the wave. The frequency is characteristic for a wave, and does not change with distance. This is unlike the amplitude which determines the intensity, which decreases with distance.
In a wave, the velocity of propagation of a wave is the product of its wavelength and its frequency. The speed of sound does not change with distance, except when entering from one medium to another, and we can see from
v = fλ
that the frequency is tied to the wave, and does not change throughout the waveform.
where v is the speed of the sound wave
f is the frequency
λ is the wavelength of the sound wave.
Answer:
Explanation:
Spring has a tendency to store energy in them and deform its shape when force is applied on it. Once the applied force is removed it regains its original shape and size.
It is in helical shape and is used in mattress to give structure and support. Spring have elastic nature and follows spring forces, F = k * x
where is the applied force, k is the spring constant and x is the amount of extension.
When a heavier person sits on a mattress, more weight is applied on springs and they form coils, as weight is removed they regains its shape again.