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Can you explain the answer of this question below:
The position of a particle at time 't' is given by the relation
x(t) = 
where V0 is a constant and a > 0. The dimensions of V0 and a are respectively.
  • A:
    M0L1T0 and T_1
  • B:
    M0L1T0 and T_2
  • C:
    M0L1T_1 and T_1
  • D:
    M0L1T_1 and T_2
The answer is C.
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Can you explain the answer of this question below:The position of a pa...
Given, 
x = v0/a (1 - e^-at) 
The term r is dimensionless. Therefore, at must be dimensionless, i.e. [M^0 L^0 T^0]. 
Since, t has the dimension of time, i.e., [M^0 L^0 T1] 
So, the dimension of a must be [M^0L^0 T^-1] 

Again, 
vo/a must have the dimension of distance. i.e. [M^0 L^1 T^0] 
Since, the dimension of a is [M^0 L^0 T^-1]
The dimension of v0 must be [M^0 L^1 T^-1]
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Can you explain the answer of this question below:The position of a pa...
Solution suppose that at=1 then the dimension of a=1/t x=v/1/t , L×1/t that is answer c is correct
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Can you explain the answer of this question below:A dense collection of equal number of electrons and positive ions is called neutral plasma. Certain solids containing fixed positive ions surrounded by free electrons can be treated as neutral plasma. Let N be the number density of free electrons, each of mass m. When the electrons are subjected to an electric field, they are displaced relatively away from the heavy positive ions. If the electric field becomes zero, the electrons begin to oscillate about the positive ions with a natural angular frequency wP which is called the plasma frequency. To sustain the oscillations, a time varying electric field needs to be applied that has an angular frequency w, where a part of the energy is absorbed and a part of it is reflected. As w approaches wP, all the free electrons are set to resonance together and all the energy is reflected. This is the explanation of high reflectivity of metals.Taking the electronic charge as e and the permittivity as 0, use dimensional analysis to determine the correct expression for wP. [JEE-2011]A:B:C:D:The answer is C.

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Can you explain the answer of this question below:The position of a particle at time 't' is given by the relationx(t) =where V0is a constant and a > 0. The dimensions of V0and a are respectively.A:M0L1T0and T_1B:M0L1T0and T_2C:M0L1T_1and T_1D:M0L1T_1and T_2The answer is C.
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Can you explain the answer of this question below:The position of a particle at time 't' is given by the relationx(t) =where V0is a constant and a > 0. The dimensions of V0and a are respectively.A:M0L1T0and T_1B:M0L1T0and T_2C:M0L1T_1and T_1D:M0L1T_1and T_2The answer is C. for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Can you explain the answer of this question below:The position of a particle at time 't' is given by the relationx(t) =where V0is a constant and a > 0. The dimensions of V0and a are respectively.A:M0L1T0and T_1B:M0L1T0and T_2C:M0L1T_1and T_1D:M0L1T_1and T_2The answer is C. covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can you explain the answer of this question below:The position of a particle at time 't' is given by the relationx(t) =where V0is a constant and a > 0. The dimensions of V0and a are respectively.A:M0L1T0and T_1B:M0L1T0and T_2C:M0L1T_1and T_1D:M0L1T_1and T_2The answer is C..
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