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  • Question 1
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    Moment of inertia of a thin circular plate of mass M, radius R about an axis passing through its diameter I. The moment of inertia of a circular ring of mass M, radius R about an axis perpendicular to its plane and passing through its centre is 

  • Question 2
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    A man and woman are both heterozygous for the recessive allele that causes cystic fibrosis. What is the probability that their first two off spring will have the disorder ?

  • Question 3
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    $$I$$ is moment of inertia of a thin circular ring about an axis perpendicular to the plane of ring and passing through its centre. The same ring is folded into 2 turns coil. The moment of inertia of circular coil about an axis perpendicular to the plane of coil and passing through its centre is

  • Question 4
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    In a new system of units, the unit of mass equals $$\alpha$$ kg, the unit of length equals $$\beta$$ m and unit of time equals $$\gamma$$ second. The value of 1 newton in this new system of units is

  • Question 5
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    A man holds a ball of (1/2) kg in his hand. He throws it vertically upward. During this process his hand moves up by 40 cm and the ball leaves his hand with an upward velocity of 4 m/s. The constant force with which the man pushes the ball is

  • Question 6
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    Let us consider a system of units in which mass and angular momentum are dimensionless. If the length has dimension of L, then the dimension of power is

  • Question 7
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    A long capillary tube with both ends open is filled with water and set in a vertical position. The radius of the capillary is $$0.1\ cm$$ and surface tension of water is $$70$$ dynes/ cm. The length of the water column remaining in the capillary tube will be approximately.

  • Question 8
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    A torque of magnetude 200 Nm acting body produces an angular acceleration of 8 $$ rad / s ^{ 2} .$$ . The moment of inertia of the body is 

  • Question 9
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    If $$a_1 $$ and $$a_2$$ are two non collinear unit vector unit and if $$|a_1 +a_2| =\sqrt 3$$, then the value of $$(a_1-a_2), (2a_1 +a_2)$$ is 

  • Question 10
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    The velocity at the maximum height of a projectile is half of its initial velocity of projection. The angle of projection is

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