Assertion :STATEMENT-1 : The current density $\to J$ at any point in ohmic resistor is in direction of electric field $\to E$ at that point. Reason: STATEMENT-2 : A point charge when released from rest in a region having only electrostatic field always moves along electric lines of force.

Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1

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Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1

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Statement-1 is True, Statement-2 is False

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Statement-1 is False, Statement-2 is True.

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Solution

The correct option is C Statement-1 is True, Statement-2 is False
From relation
$\to J = σ \to E$
The current density $\to J$ at any point in ohomic resitor is in the direction of electric field. $\to E$ at that point.
Also the intensity of electric lines of force changes in non uniform electric field. Hence the point charge released from rest only in an electrostatic field may not move along electric lines of force. Hence statement one is true and statement two is false.

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\sum_{r = 0}^{n} (r + 1)^{n} C_{r} = (n + 2) 2^{n - 1} .

\sum_{r = 0}^{n} (r + 1)^{n} C_{r} x^{r} = (1 + x)^{n} + n x (1 + x)^{n - 1} .

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\sum_{r = 0}^{n} (r + 1)^{n} C_{r} x^{r} = (1 + x)^{n} + n x (1 + x)^{n - 1} .

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