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In a particular system, the unit of length, mass and time are chosen to be 10 cm, 10 g and 0.1 s respectively. The unit of force in this system will be equivalen t to [1994]
- a)0.1 N
- b)1 N
- c)10 N
- d)100 N
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In a particular system, the unit of length, mass and time are chosen t...
[F] = MLT–2 = (10g) (10 cm) (0.1s)–2
= (10–2 kg) (10–1m) (10–1s)–2 = 10–1N.
= (10–2 kg) (10–1m) (10–1s)–2 = 10–1N.
Most Upvoted Answer
In a particular system, the unit of length, mass and time are chosen t...
**Given Information:**
Unit of length = 10 cm
Unit of mass = 10 g
Unit of time = 0.1 s
**To Find:**
The unit of force in this system
**Solution:**
To determine the unit of force, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a). Mathematically, this can be represented as:
F = m * a
We know that the unit of mass is 10 g. To convert this to kg, we divide by 1000:
10 g = 10/1000 kg = 0.01 kg
Now, we need to determine the unit of acceleration. Acceleration is the rate of change of velocity, and velocity is the rate of change of displacement. Since the unit of length is 10 cm, we can express displacement as:
displacement = velocity * time
Given that the unit of time is 0.1 s, we can express velocity as:
velocity = displacement / time
Substituting the unit of length (10 cm) and time (0.1 s) into the equation, we get:
velocity = 10 cm / 0.1 s = 100 cm/s
To convert this to m/s, we divide by 100:
100 cm/s = 100/100 m/s = 1 m/s
Therefore, the unit of acceleration is 1 m/s^2.
Now, we can substitute the values of mass (0.01 kg) and acceleration (1 m/s^2) into the equation for force:
F = m * a
F = 0.01 kg * 1 m/s^2
F = 0.01 N
Since 1 N is equivalent to 1 kg * 1 m/s^2, we can conclude that the unit of force in this system is 0.01 N, which is equivalent to 0.1 N (as mentioned in option A).
Unit of length = 10 cm
Unit of mass = 10 g
Unit of time = 0.1 s
**To Find:**
The unit of force in this system
**Solution:**
To determine the unit of force, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a). Mathematically, this can be represented as:
F = m * a
We know that the unit of mass is 10 g. To convert this to kg, we divide by 1000:
10 g = 10/1000 kg = 0.01 kg
Now, we need to determine the unit of acceleration. Acceleration is the rate of change of velocity, and velocity is the rate of change of displacement. Since the unit of length is 10 cm, we can express displacement as:
displacement = velocity * time
Given that the unit of time is 0.1 s, we can express velocity as:
velocity = displacement / time
Substituting the unit of length (10 cm) and time (0.1 s) into the equation, we get:
velocity = 10 cm / 0.1 s = 100 cm/s
To convert this to m/s, we divide by 100:
100 cm/s = 100/100 m/s = 1 m/s
Therefore, the unit of acceleration is 1 m/s^2.
Now, we can substitute the values of mass (0.01 kg) and acceleration (1 m/s^2) into the equation for force:
F = m * a
F = 0.01 kg * 1 m/s^2
F = 0.01 N
Since 1 N is equivalent to 1 kg * 1 m/s^2, we can conclude that the unit of force in this system is 0.01 N, which is equivalent to 0.1 N (as mentioned in option A).
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Community Answer
In a particular system, the unit of length, mass and time are chosen t...
[F] = MLT–2 = (10g) (10 cm) (0.1s)–2
= (10–2 kg) (10–1m) (10–1s)–2 = 10–1N.
= (10–2 kg) (10–1m) (10–1s)–2 = 10–1N.
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In a particular system, the unit of length, mass and time are chosen to be 10 cm, 10 g and 0.1 s respectively. The unit of force in this system will be equivalen t to [1994]a)0.1 Nb)1 Nc)10 Nd)100 NCorrect answer is option 'A'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In a particular system, the unit of length, mass and time are chosen to be 10 cm, 10 g and 0.1 s respectively. The unit of force in this system will be equivalen t to [1994]a)0.1 Nb)1 Nc)10 Nd)100 NCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a particular system, the unit of length, mass and time are chosen to be 10 cm, 10 g and 0.1 s respectively. The unit of force in this system will be equivalen t to [1994]a)0.1 Nb)1 Nc)10 Nd)100 NCorrect answer is option 'A'. Can you explain this answer?.
In a particular system, the unit of length, mass and time are chosen to be 10 cm, 10 g and 0.1 s respectively. The unit of force in this system will be equivalen t to [1994]a)0.1 Nb)1 Nc)10 Nd)100 NCorrect answer is option 'A'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In a particular system, the unit of length, mass and time are chosen to be 10 cm, 10 g and 0.1 s respectively. The unit of force in this system will be equivalen t to [1994]a)0.1 Nb)1 Nc)10 Nd)100 NCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a particular system, the unit of length, mass and time are chosen to be 10 cm, 10 g and 0.1 s respectively. The unit of force in this system will be equivalen t to [1994]a)0.1 Nb)1 Nc)10 Nd)100 NCorrect answer is option 'A'. Can you explain this answer?.
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