Given below are two statements:

Statement $I$ : A uniform wire of resistance $80\,\Omega$ is cut into four equal parts. These parts are now connected in parallel. The equivalent resistance of the combination will be $5\,\Omega$.

Statement $II :$ Two resistance $2\,R$ and $3\,R$ are connected in parallel in a electric circuit. The value of thermal energy developed in $3\,R$ and $2\,R$ will be in the ratio $3:2.$

In the light of the above statements, choose the most appropriate answer from the options given below

  • ABoth statement $I$ and statement $II$ are correct
  • BBoth statement $I$ and statement $II$ are incorrect
  • CStatement $I$ is correct but statement $II$ is incorrect.
  • DStatement $I$ is incorrect but statement $II$ is correct.
JEE MAIN 2022, Medium
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    A uniform metallic wire has a resistance of $18\,\Omega $ and is bent into an equilateral triangle. Then, the resistance between any two vertices of the triangle is .................. $\Omega$
    View Solution
  • 2
    .............. $A$ the current flowing through the resistance $R_2$ of the circuit shown in fig if the resistance are equal to $R_1 = 20\  \Omega, R_2 = 30 \ \Omega$ and $R_3 = 60 \ \Omega$ and potentials of points $1, 2$ and $3$ are equal to $V_1= 20\, V,$ $V_2 = 30\ V$ and $V_3 = 60\ V$
    View Solution
  • 3
    In the circuit shown in the given figure the resistance $R_1$ and $R_2$ are respectively
    View Solution
  • 4
    A current of $0.1 \,A$ flows through a $25 \,\Omega$ resistor represented by the circuit diagram. The current in $80 \,\Omega$ resistor is ........... $A$
    View Solution
  • 5
    A uniform heating wire of resistance $36\, \Omega$ is connected across a potential difference of $240\, {V}$ The wire is then cut into half and potential difference of $240\, {V}$ is applied across each half separately. The ratio of power dissipation in first case to the total power dissipation in the second case would be $1: {x}$, where ${x}$ is........... .
    View Solution
  • 6
    The terminal potential difference of a cell when short-circuited is ($E$ = $E.M.F.$ of the cell)
    View Solution
  • 7
    A $dc$ source of $emf \,E_1 = 100\,V$ and internal resistance $r = 0.5\,\Omega ,$ a storage battery of emf $E_2 = 90\,V$ and an external resistance $R$ are connected as shown in figure. For what value of $R$ no current will pass through the battery ? ................ $\Omega$
    View Solution
  • 8
    The equivalent resistance between $A$ and $B$ is $......$
    View Solution
  • 9
    Fig. shows rough sketch of meter bridge. $(G)$ deflects zero at length $l\, cm$. Now $R_1$ and $R_2$ are interchanged then balancing length increases by $25\, cm$. Find $R_1/R_2$ 
    View Solution
  • 10
    For measurement of potential difference, potentiometer is preferred in comparison to voltmeter because
    View Solution