Answer:
The dimension is L
Explanation:
Dimension analysis is a method of representing quantities majorly with respect to some fundamental quantities of mass (M), length (L), time (T).
A sphere has a definite volume which relates to its radius by:
V = 


In this equation  is a dimensionless quantity, and the unit of v is
 is a dimensionless quantity, and the unit of v is  .
. 
But, metre is a measure of length, thus it has a dimension of L.
So that,
 ≅
 ≅ 
Then,
  =
 = 
Find the cube root of both sides to have,
r = L
Therefore, the dimension of the radius of a sphere is L.
 
        
             
        
        
        
Answer:
(a) Angular velocity will be 125.6 rad/sec
(b) Linear velocity will be 144.44 m /sec
(c) Centripetal acceleration = 1849.3031 g 
Explanation:
We have given diameter d = 2.30 m 
So radius r = 
(a) Speed is given as 1200 rev/min
We know that angular velocity is given by 
(b) Linear speed is given by 
(c) Centripetal acceleration is given by  
 
We know that 
So 
 
        
             
        
        
        
Answer:
0.003034 s
1.035 m
4.5 m
Explanation:
 = frequency of the tone = 329.6 Hz
 = frequency of the tone = 329.6 Hz
 = Time period of the sound wave
 = Time period of the sound wave
we know that, Time period and frequency are related as 

 = speed of the sound in the air = 341 ms⁻¹
 = speed of the sound in the air = 341 ms⁻¹
wavelength of the sound is given as 

 = speed of the sound in the water = 1480 ms⁻¹
 = speed of the sound in the water = 1480 ms⁻¹
wavelength of the sound in water is given as 

 
        
             
        
        
        
Answer:
Stars emit colors of many different wavelengths, but the wavelength of light where a star's emission is concentrated is related to the star's temperature - the hotter the star, the more blue it is; the cooler the star, the more red it is
 
        
             
        
        
        
Step-#1:
Ignore the wire on the right.
Find the strength and direction of the magnetic field at P, 
caused by the wire on the left, 0.04m away, carrying 5.0A 
of current upward. 
Write it down.
Step #2:
Now, ignore the wire on the left.
Find the strength and direction of the magnetic field at P, 
caused by the wire on the right, 0.04m away, carrying 8.0A 
of current downward. 
Write it down. 
Step #3:
Take the two sets of magnitude and direction that you wrote down
and ADD them.
The total magnetic field at P is the SUM of (the field due to the left wire)
PLUS (the field due to the right wire).
So just calculate them separately, then addum up.