(D) The $Assertion$ is incorrect because many helicopters operate with a single main rotor and a smaller tail rotor,not necessarily two main propeller

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If both the $Assertion$ and $Reason$ are incorrect.

(D) The $Assertion$ is incorrect because many helicopters operate with a single main rotor and a smaller tail rotor,not necessarily two main propellers. The $Reason$ is also incorrect because the purpose of the second rotor (tail rotor) is to balance the torque produced by the main rotor to prevent the helicopter from spinning in the opposite direction,which is based on the conservation of angular momentum,not linear momentum.

Class 11 Physics System of Particles and Rotational Motion Mix Example - System of Particles and Rotational Motion

Easy

$Assertion$ : $A$ helicopter must necessarily have two propellers.
$Reason$ : Two propellers are provided in a helicopter in order to conserve linear momentum.

AIIMS 2010 All AIIMS

A
If both $Assertion$ and $Reason$ are correct and the $Reason$ is a correct explanation of the $Assertion$.
B
If both $Assertion$ and $Reason$ are correct but $Reason$ is not a correct explanation of the $Assertion$.
C
If the $Assertion$ is correct but $Reason$ is incorrect.
D
If both the $Assertion$ and $Reason$ are incorrect.

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Mix Example - System of Particles and Rotational Motion

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$Assertion$ : $A$ helicopter must necessarily have two propellers.$Reason$ : Two propellers are provided in a helicopter in order to conserve linear momentum.

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The graph between $\log_e L$ and $\log_e P$ will be (where $L$ is angular momentum and $P$ is linear momentum):

$ABC$ is an equilateral triangle with $O$ as its centre. $\vec F_1, \vec F_2$ and $\vec F_3$ represent three forces acting along the sides $AB, BC$ and $AC$ respectively. If the total torque about $O$ is zero,then the magnitude of $\vec F_3$ is

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$Assertion$ : $A$ helicopter must necessarily have two propellers.
$Reason$ : Two propellers are provided in a helicopter in order to conserve linear momentum.