Question : The dimensional formula for universal gravitational constant is
Option 1: M-1L3T2
Option 2: ML2T-2
Option 3: M-2
Option 4: M-1L3T-2
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Correct Answer: M-1L3T-2
Solution : The correct answer is M-1L3T-2 .
Gravitational Constant was given by Sir Issac Newton. It is a proportionality constant which is the value of the gravitational force acting between the two bodies of unit mass and which are kept at a unit distance from each other. It is denoted as capital G. Its value was calculated by Sir Issac Newton which was equal to 6.674 x 10-11 Nm2 / kg2. It has a dimensional formula M-1L3T-2.
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Question : The dimensions of force are:
Option 1: M0 L3 T0
Option 2: ML-3 T0
Option 3: M0 LT-1
Option 4: MLT-2
Question : The volume of air in a room is 204 m3. The height of the room is 6 m. What is the floor area of the room?
Option 1: 32 m2
Option 2: 46 m2
Option 3: 44 m2
Option 4: 34 m2
Question : The unit of Planck's Constant is:
Option 1: Js
Option 2: Js-2
Option 3: J/s
Option 4: Js2
Question : Find the area of a circle whose radius is equal to the side of a square whose perimeter is 196 m.
Option 1: 7457 m2
Option 2: 7546 m2
Option 3: 6477 m2
Option 4: 8844 m2
Question : What is the value of (22 + 1)(24+1)(28 + 1)(216 + 1) .........(2128 + 1)?
Option 1: $\frac{2^{256}-1}{2}$
Option 2: $\frac{2^{256}-1}{3}$
Option 3: $2^{256}-1$
Option 4: $\frac{2^{256}-1}{4}$
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