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Choose the correct statement(s) from the...

Choose the correct statement(s) from the given statements
(I) The proportionality constant in an equation can be obtained by dimensional analysis.
(II) The equation V = u + at can be derived by dimensional method.
(III) The equation y = A sin `omega` t cannot be derived by dimensional method
(IV) The equation `eta = (A)/(B)e^(-Bt)` can be derived with dimensional method

A

III is correct

B

II and III are correct

C

II, III and IV are correct

D

III and IV are correct

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • (A): Physical relations involving addition and subtraction cannot be derived by dimensional analysis. (R) Numerical constants cannot be deduced by the method of dimensions.

    A
    Both (A) and (R) are true and (R) is the correct explanation of (A)
    B
    Both (A) and (R) are true and (R) is not the correct explanation of (A)
    C
    (A) is true but (R) is false
    D
    Both (A) and (R) are false
  • The equation which can 't be solved in integr is

    A
    2(x-3)=10
    B
    x/3=5
    C
    5-3m=1
    D
    2k+1=1
  • (A) : Physical relations involving addition and subtraction cannot be derived by dimensional analysis. (R) : Numerical constants cannot be deduced by the method of dimensions.

    A
    Both (A) and (R) are true and (R) is the correct explanation of (A)
    B
    Both (A) and (R) are true and (R) is not the correct explanation of (A)
    C
    (A) is true but (R) is false
    D
    Both (A) and (R) are false
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    .(A): The value of dimensionless constants or proportionality constants cannot be found by dimensional methods. (b) : The equations containing trigonometrical, exponential and logarithmic functions cannot be analysed by dimensional methods.

    (A) : The value of dimensionless constants or proportionality constants cannot be found by dimensional methods. (B) : The equations containing trigonometrical, exponential and logarithmic functions cannot be analysed by dimensional methods.