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The dimensions of universal gravitational constant are [1992, 2004]
- a)M–2 L2 T–1
- b)M–1 L3 T–2
- c)M L2 T–1
- d)M–2 L3 T–2
Correct answer is option 'B'. Can you explain this answer?
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The dimensions of universal gravitational constant are [1992, 2004]a)M...
L3 T-2(b)M-1 L3 T-2(c)M-2 L3 T-2(d)M L3 T-2
The correct answer is (b) M-1 L3 T-2.
Universal gravitational constant, denoted by G, is defined as the proportionality constant in the law of universal gravitation. According to this law, the force of attraction between two point masses is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
Therefore, the dimensions of G can be derived by equating the dimensions of force, mass, and distance in the above equation.
Dimensions of force = M L T-2
Dimensions of mass = M
Dimensions of distance = L
Substituting these values in the equation, we get:
M L T-2 = G (M2/L2)
On simplifying, we get:
G = M-1 L3 T-2
Hence, the dimensions of universal gravitational constant are M-1 L3 T-2.
The correct answer is (b) M-1 L3 T-2.
Universal gravitational constant, denoted by G, is defined as the proportionality constant in the law of universal gravitation. According to this law, the force of attraction between two point masses is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
Therefore, the dimensions of G can be derived by equating the dimensions of force, mass, and distance in the above equation.
Dimensions of force = M L T-2
Dimensions of mass = M
Dimensions of distance = L
Substituting these values in the equation, we get:
M L T-2 = G (M2/L2)
On simplifying, we get:
G = M-1 L3 T-2
Hence, the dimensions of universal gravitational constant are M-1 L3 T-2.
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The dimensions of universal gravitational constant are [1992, 2004]a)M–2 L2 T–1b)M–1 L3 T–2c)M L2 T–1d)M–2 L3 T–2Correct answer is option 'B'. 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 The dimensions of universal gravitational constant are [1992, 2004]a)M–2 L2 T–1b)M–1 L3 T–2c)M L2 T–1d)M–2 L3 T–2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The dimensions of universal gravitational constant are [1992, 2004]a)M–2 L2 T–1b)M–1 L3 T–2c)M L2 T–1d)M–2 L3 T–2Correct answer is option 'B'. Can you explain this answer?.
The dimensions of universal gravitational constant are [1992, 2004]a)M–2 L2 T–1b)M–1 L3 T–2c)M L2 T–1d)M–2 L3 T–2Correct answer is option 'B'. 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 The dimensions of universal gravitational constant are [1992, 2004]a)M–2 L2 T–1b)M–1 L3 T–2c)M L2 T–1d)M–2 L3 T–2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The dimensions of universal gravitational constant are [1992, 2004]a)M–2 L2 T–1b)M–1 L3 T–2c)M L2 T–1d)M–2 L3 T–2Correct answer is option 'B'. Can you explain this answer?.
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