JEE Main PYQs on Keplers Laws: JEE Main Questions for Practice with Solutions

JEE Main Questions

• 1.

  A force \( \mathbf{F} = 2\hat{i} + b\hat{j} + \hat{k} \) is applied on a particle and it undergoes a displacement \( \mathbf{r} = \hat{i} - 2\hat{j} - \hat{k} \). What will be the value of \( b \), if the work done on the particle is zero?

  • \( \frac{1}{2} \)
    
  • \( \frac{2}{3} \)
    
  • 0
    
  • \( \frac{1}{3} \)
    
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• 2.

  The value of current \( I \) in the electrical circuit as given below, when the potential at \( A \) is equal to the potential at \( B \), will be ________________________ A.
  

  

  • \( 1.0 \)
    
  • \( 2.0 \)
    
  • \( 0.5 \)
    
  • \( 4.0 \)
    
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• 3.

  The increase in pressure required to decrease the volume of a water sample by 0.2percentage is \( P \times 10^5 \, \text{Nm}^{-2} \). Bulk modulus of water is \( 2.15 \times 10^9 \, \text{Nm}^{-2} \). The value of \( P \) is ________________.

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• 4.

  The velocity-time graph of an object moving along a straight line is shown in the figure. What is the distance covered by the object between \( t = 0 \) to \( t = 4s \)? 
  
  
   

  • 13 m
    
  • 30 m
    
  • 11 m
    
  • 10 m
    
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• 5.

  Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). 

  Assertion (A): Choke coil is simply a coil having a large inductance but a small resistance. Choke coils are used with fluorescent mercury-tube fittings. If household electric power is directly connected to a mercury tube, the tube will be damaged. 

  Reason (R): By using the choke coil, the voltage across the tube is reduced by a factor \( \frac{R}{\sqrt{R^2 + \omega^2 L^2}} \), where \( \omega \) is the frequency of the supply across resistor \( R \) and inductor \( L \). If the choke coil were not used, the voltage across the resistor would be the same as the applied voltage.

  In light of the above statements, choose the most appropriate answer from the options given below:

  • Both (A) and (R) are true and (R) is the correct explanation of (A)
    
  • (A) is false but (R) is true
    
  • Both (A) and (R) are true but (R) is not the correct explanation of (A)
    
  • (A) is true but (R) is false
    
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• 6.

  A galvanometer having a coil of resistance 30 \( \Omega \) needs 20 mA of current for full-scale deflection. If a maximum current of 3 A is to be measured using this galvanometer, the resistance of the shunt to be added to the galvanometer should be \( X \, \Omega \), where \( X \) is:

  • 447
  • 298
  • 149
  • 596
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