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The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are : [2012]
- a)kgms–1
- b)kgms–2
- c)kgs–1
- d)kgs
Correct answer is option 'C'. Can you explain this answer?
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The damping force on an oscillator is directly proportional to the vel...
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The damping force on an oscillator is directly proportional to the vel...
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b)kgm
c)kgm s
d)kgm s-1
The correct answer is d) kgm s-1.
Explanation:
The damping force on an oscillator can be represented by the equation:
F_d = -bv
where F_d is the damping force, b is the constant of proportionality (also known as the damping coefficient), and v is the velocity.
The units of damping force are Newtons (N), which can be expressed as kgm s-2.
Since the damping coefficient is defined as the ratio of damping force to velocity, its units can be obtained by dividing the units of damping force by the units of velocity:
b = F_d / v
b = (kgm s-2) / (ms-1)
b = kgm s-1
Therefore, the units of the constant of proportionality (damping coefficient) are kgm s-1.
b)kgm
c)kgm s
d)kgm s-1
The correct answer is d) kgm s-1.
Explanation:
The damping force on an oscillator can be represented by the equation:
F_d = -bv
where F_d is the damping force, b is the constant of proportionality (also known as the damping coefficient), and v is the velocity.
The units of damping force are Newtons (N), which can be expressed as kgm s-2.
Since the damping coefficient is defined as the ratio of damping force to velocity, its units can be obtained by dividing the units of damping force by the units of velocity:
b = F_d / v
b = (kgm s-2) / (ms-1)
b = kgm s-1
Therefore, the units of the constant of proportionality (damping coefficient) are kgm s-1.
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