text: An automobile of mass m accelerates, starting from rest, while the engine supplies constant power P, its position and velocity changes w.r.t time as-    [This question is only for Dropper and XII batch]
  
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  Concept Questions :-
  
  Integration
  High Yielding Test Series + Question Bank - NEET 2020
  
  Difficulty Level:
  
  A constant force F is applied on a body. The power (P) generated is related to the time elapsed (t) as
  
  [This question is only for Dropper and XII batch]
  
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  Concept Questions :-
  
  Integration
  High Yielding Test Series + Question Bank - NEET 2020
  
  Difficulty Level:
  
  A rod of length L is placed along the x-axis between x= 0 and x= L. The linear density (mass/length)$\lambda$ of the rod varies with the distance x from the origin as $\lambda$= Rx. Here, R is a positive constant. Find the position of centre of mass of this rod.
  
  [This question is only for Dropper and XII batch]
  
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  Concept Questions :-
  
  Integration
  High Yielding Test Series + Question Bank - NEET 2020
  
  Difficulty Level:
  
  A wheel rotates with an angular acceleration . Here t is the time and a, b are constants. If the wheel has an initial angular velocity ${\omega }_{0}$, find (a) the angular velocity and (b) the angle turned as function of time
  
  [This question is only for Dropper and XII batch]
  
  Concept Questions :-
  
  Integration
  High Yielding Test Series + Question Bank - NEET 2020
  
  Difficulty Level:
  
  Two discs of radii R and 2R are pressed against each other. Initially disc with radius R is rotating with angular velocity $\omega$ and other disc was stationary. Both disc are hinged at their respective centres and free to rotate about them.Moment of inertia of smaller is I and bigger disc is 2I about their respective axis of rotation. Find the angular velocity of the bigger disc after long time.
  
  [This question is only for Dropper and XII batch]
  
  1. $\omega$
  
  2. $\omega$/2
  
  3. $\omega$/3
  
  4. $\frac{2\omega }{3}$
  
  Concept Questions :-
  
  Integration
  High Yielding Test Series + Question Bank - NEET 2020
  
  Difficulty Level:
  
  The gravitational field due to a mass distribution is given by , where k is a constant. Assuming the potential to be zero at infinity, find the potential at a point x = a. [This question is only for Dropper and XII batch]
  
  1. $\frac{k}{{a}^{2}}$
  
  2. $\frac{-k}{{a}^{2}}$
  
  3. $\frac{k}{a}$
  
  4. $\frac{-k}{a}$
  
  Concept Questions :-
  
  Integration
  High Yielding Test Series + Question Bank - NEET 2020
  
  Difficulty Level:
  
  A bar of mass M and length L is hanging from point S as shown in figure. The Young's modulus of elasticity of the wire is Y and the area of cross-section of the wire is A. Find total elongation in bar.
  
  [This question is only for Dropper and XII batch]
  
  1. $\frac{MgL}{AY}$
  
  2. $\frac{MgL}{2AY}$
  
  3. $\frac{2MgL}{AY}$
  
  4. $\frac{3MgL}{2AY}$
  
  Concept Questions :-
  
  Integration
  High Yielding Test Series + Question Bank - NEET 2020
  
  Difficulty Level:
  
  Consider a liquid of density $\rho$ in a container that spins with angular velocity $\omega$ as shown in figure. Find relation between y and x for any point P, if liquid rises due to rotation. [This question is only for Dropper and XII batch]
  
  1. $y=\frac{\omega x}{2g}$
  
  2. $y=\frac{{\omega }^{2}{x}^{2}}{2g}$
  
  3. $y=\frac{{\omega }^{2}x}{2g}$
  
  4. $y=\frac{\omega {x}^{2}}{2g}$
  
  Concept Questions :-
  
  Integration
  High Yielding Test Series + Question Bank - NEET 2020
  
  Difficulty Level:
  
  The upper edge of a gate in a dam runs along water surface. The gate is 2 m high and 3 m wide and is hinged along a horizontal line through its center. Calculate the torque about hinge. [This question is only for Dropper and XII batch]
  
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  Concept Questions :-
  
  Integration
  High Yielding Test Series + Question Bank - NEET 2020
  
  Difficulty Level:
  
  The specific heat of a substance varies with temperature t($°C$) as
  c= 0.20 + 0.14 t + 0.023 . Find the heat required to raise the temperature of 2 gm of substance from 5$°C$ to 15 $°C$[This question is only for Dropper and XII batch]
  
  1. 41 cal
  
  2. 82 cal
  
  3. 80 cal
  
  4. 40 cal