The deflection sensitivity in a cathode ray oscilloscope (CRO) is ________ the mass of electron. 

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  1. inversely proportional to the square root of
  2. directly proportional to
  3. inversely proportional to
  4. directly proportional to the square root of 

Answer (Detailed Solution Below)

Option 1 : inversely proportional to the square root of
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Deflection Sensitivity

The deflection sensitivity (S) of a CRT (Cathode Ray Tube) is defined as the deflection (in meters) on the fluorescent screen (D) per volt of the deflecting voltage (Ed).

The potential between deflecting plates is given by:

where, Ed = Potential between deflecting plates

Ea = Accelerating voltage 

d = Distance between deflecting plates

D = Deflection of the electron beam on the screen in the Y direction

L = Distance between screen and center of the deflecting plates

ld = Length of the deflecting plates

Explanation

Putting the value of Ed in the above formula:

Sensitivity, 

Magnetic deflection sensitivity:

The Deflection per unit magnetic field intensity is called the magnetic deflection Sensitivity of the tube.

∴ The deflection sensitivity in a cathode ray oscilloscope (CRO) is inversely proportional to the square root of the mass of the electron. 

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