Physics-
General
Easy
Question
The equivalent resistance between points A and B of an infinite network of resistances, each of 1
, connected as shown is
![](data:image/png;base64,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)
- Infinite
- 2
- zero
The correct answer is: ![fraction numerator 1 plus square root of 5 over denominator 2 end fraction capital omega](data:image/png;base64,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)
Let
be the equivalent resistance of entire network between A and B. Hence, we have
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/901865/1/939395/Picture2.png)
resistance of parallel combination of 1
and ![x capital omega](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAANCAYAAACzbK7QAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAP5JREFUeNpjYKAMGADxQiB+DcS/gPgTEK8CYh0GKoB6ID4OxD5AzAYV4wHiHCB+CcS2lBheC8Qz8ci7APEtdMFkIO7AorgZKgcDGkB8iQhH3AViNXTBc0AsjsRPBOIpaGqmQMUJgS1Qn6AADyDuQ/LmXiwarwGxPJE+kMQmsRuI7YH4AhALY5H/QYThokD8FJdkATTJ6eGQ/4aUanCBEmjcYQBrIF4DDaZIHJoPQoMSn+uvYfO9EhBvAmIuaHo+gyOIMqCWYAN8QHwUmwNAtm5DMxCUgRZjMYQJiE8C8QQ0cR1ovIWjawCF5zoglsZi2HI013wA4v9ImI1IOdoBAG72Mps+GztAAAAAWXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT54PC9taT48bWk+JiN4M0E5OzwvbWk+PC9tYXRoPo7ntrwAAAAASUVORK5CYII=)
![therefore blank R subscript A B end subscript equals 1 plus fraction numerator x over denominator 1 plus x end fraction](data:image/png;base64,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)
![therefore blank x equals 1 plus fraction numerator x over denominator 1 plus x end fraction](data:image/png;base64,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)
![⟹ x plus x to the power of 2 end exponent equals 1 plus x plus x](data:image/png;base64,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)
![⟹ x to the power of 2 end exponent minus x minus 1 equals 0](data:image/png;base64,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)
![⟹ x equals fraction numerator 1 plus square root of 1 plus 4 end root over denominator 2 end fraction](data:image/png;base64,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)
![equals fraction numerator 1 plus square root of 5 over denominator 2 end fraction capital omega](data:image/png;base64,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)
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Thirteen resistances each of resistance R
are connected in the circuit as shown in the figure. The effective resistance between points A and B is
![](data:image/png;base64,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)
Thirteen resistances each of resistance R
are connected in the circuit as shown in the figure. The effective resistance between points A and B is
![](data:image/png;base64,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)
physics-General
physics-
Six resistors, each of value 3
are connected as shown in the figure. A cell of emf 3V is connected across
The effective resistance across
and the current through the arm
will be
![](data:image/png;base64,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)
Six resistors, each of value 3
are connected as shown in the figure. A cell of emf 3V is connected across
The effective resistance across
and the current through the arm
will be
![](data:image/png;base64,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)
physics-General
physics-
In the circuit shown the value of I in ampere is
![](data:image/png;base64,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)
In the circuit shown the value of I in ampere is
![](data:image/png;base64,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)
physics-General
physics-
The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement?
![](data:image/png;base64,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)
The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement?
![](data:image/png;base64,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)
physics-General
physics-
The displacement-time graphs of two moving particles make angles of
with the
axis. The ratio of their velocities is
![](data:image/png;base64,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)
The displacement-time graphs of two moving particles make angles of
with the
axis. The ratio of their velocities is
![](data:image/png;base64,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)
physics-General
Maths-
The minimum and maximum values of 3x are
The minimum and maximum values of 3x are
Maths-General
Physics-
The graph between the displacement
and
for a particle moving in a straight line is shown in figure. During the interval
and
the acceleration of the particle is
![](data:image/png;base64,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)
, ![C D](data:image/png;base64,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)
The graph between the displacement
and
for a particle moving in a straight line is shown in figure. During the interval
and
the acceleration of the particle is
![](data:image/png;base64,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)
, ![C D](data:image/png;base64,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)
Physics-General
Maths-
Extreme Values:The range of ![f left parenthesis x right parenthesis equals negative 3 cos space square root of 3 plus x plus x squared end root](data:image/png;base64,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)
Extreme Values:The range of ![f left parenthesis x right parenthesis equals negative 3 cos space square root of 3 plus x plus x squared end root](data:image/png;base64,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)
Maths-General
physics-
What is the equivalent resistance between
in the given circuit?
![](data:image/png;base64,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)
What is the equivalent resistance between
in the given circuit?
![](data:image/png;base64,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)
physics-General
physics-
The current in the 1
resistor shown in the circuit is
![](data:image/png;base64,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)
The current in the 1
resistor shown in the circuit is
![](data:image/png;base64,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)
physics-General
physics-
The current in the 1
resistor shown in the circuit is
![](data:image/png;base64,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)
The current in the 1
resistor shown in the circuit is
![](data:image/png;base64,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)
physics-General