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Question 1:

  • Given below are two statements:

    • Statements-I: The equivalent emf of two non-ideal batteries connected in parallel is smaller than either of the two emfs.
    Statement-II: The equivalent internal resistance of two non-ideal batteries connected in parallel is smaller than the internal resistance of either of the two batteries.
    In the light of the above statements, choose the correct answer from the options given below

    A)

    Both Statement-I and Statement-II are true

    B)

    Both Statement-I and Statement-II are false

    C)

    Statement-I is true but statement-II is false

    D)

    Statement-I is false but statement-II is true

    Answer:

    Solution:

    Just to verify the statement, let’s check for condition: U s i n g ε e q = ε 1 r 2 + ε 2 r 1 r 1 + r 2 Using\ \varepsilon_{eq} = \frac{\varepsilon_{1}r_{2} + \varepsilon_{2}r_{1}}{r_{1} + r_{2}} r 1 = r 2 r_{1} = r_{2}

    ε e q = ε 1 + ε 2 2 \varepsilon_{eq} = \frac{\varepsilon_{1} + \varepsilon_{2}}{2}

    Based on this is not conclusive that is always smaller than ε 1 o r ε 2 \varepsilon_{1}\ or\ \varepsilon_{2}
    Thus S t a t e m e n t 1 Statement\ 1 is false
    ε e q \varepsilon_{eq}

    Here r e q w i l l b e l e s s t h a n e i t h e r r 1 o r r 2 r_{eq}will\ be\ less\ than\ either\ r_{1}\ or\ r_{2}
    Thus S t a t e m e n t 2 Statement\ 2 is true

    Prev Exam(s):

    JEE MAIN

    - 2025

    , 22 Jan Shift-1

    Chapter:

    CURRENT ELECTRICITY

    Question Level:

    L2

    Tags:

    • PHYSICS
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