Answer:
Sound will travel the slowest in Air
Explanation:
The higher the m/s is, the faster the sound travels
To solve this problem we will apply the concepts given from the circular movement of the bodies for which we have that the centripetal Force is defined as a product between the mass and the velocity squared at the rate of rotation, mathematically this is

Where,
m = Mass
v = Velocity
r = Radius
Our values are given as

Rearranging to find the velocity we have that,




Therefore the maximum speed can the mass have if the string is not to break is 29m/s
Answer:
ν = 5.45 x 10¹⁴ Hz
Explanation:
given,
wavelength of light = 550 nm
= 550 x 10⁻⁹ m
speed of light = 1.96 x 10⁸ m/s
speed of sound = 3 x 10⁸ m/s
frequency of the light = ?
we know.

frequency of the light in the liquid is same as the frequency of the light in the air.
ν is the frequency of light


ν = 5.45 x 10¹⁴ Hz
Hence, the frequency of light in the liquid is equal to ν = 5.45 x 10¹⁴ Hz
Answer: (d)
Explanation:
Given
Mass of the first ram 
The velocity of this ram is 
Mass of the second ram 
The velocity of this ram 
They combined after the collision
Conserving the momentum
![\Rightarrow m_1v_1+m_2v_2=(m_1+m_2)v\\\Rightarrow 49\times (-7)+52\times (9)=(52+49)v\\\Rightarrow v=\dfrac{125}{101}\ m/s \quad[\text{east}]](https://tex.z-dn.net/?f=%5CRightarrow%20m_1v_1%2Bm_2v_2%3D%28m_1%2Bm_2%29v%5C%5C%5CRightarrow%2049%5Ctimes%20%28-7%29%2B52%5Ctimes%20%289%29%3D%2852%2B49%29v%5C%5C%5CRightarrow%20v%3D%5Cdfrac%7B125%7D%7B101%7D%5C%20m%2Fs%20%5Cquad%5B%5Ctext%7Beast%7D%5D)
Momentum after the collision will be

Therefore, option (d) is correct