JEE Main PYQs on Properties of Solids: JEE Main Questions for Practice with Solutions

JEE Main Questions

• 1.

  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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• 2.

  The maximum speed of a boat in still water is 27 km/h. Now this boat is moving downstream in a river flowing at 9 km/h. A man in the boat throws a ball vertically upwards with speed of 10 m/s. Range of the ball as observed by an observer at rest on the river bank is cm. (Take g = 10 m/s²).

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• 3.

  The ratio of the power of a light source \( S_1 \) to that of the light source \( S_2 \) is 2. \( S_1 \) is emitting \( 2 \times 10^{15} \) photons per second at 600 nm. If the wavelength of the source \( S_2 \) is 300 nm, then the number of photons per second emitted by \( S_2 \) is \_\_\_\_\_ \( \times 10^{14} \).

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• 4.

  Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). 
  Assertion (A) : If Young’s double slit experiment is performed in an optically denser medium than air, then the consecutive fringes come closer. 
  Reason (R) : The speed of light reduces in an optically denser medium than air while its frequency does not change. 
  In the 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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• 5.

  The motion of an airplane is represented by the velocity-time graph as shown below. The distance covered by the airplane in the first 30.5 seconds is                km.

  

  • 9
    
  • 6
    
  • 3
    
  • 12
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• 6.

  Consider a long thin conducting wire carrying a uniform current \( I \). A particle having mass \( M \) and charge \( q \) is released at a distance \( a \) from the wire with a speed \( v_0 \) along the direction of current in the wire. The particle gets attracted to the wire due to magnetic force. The particle turns round when it is at distance \( x \) from the wire. The value of \( x \) is:

  • \( \frac{a}{2} \)
    
  • \( a \left( 1 - \frac{mv_0}{q\mu_0 I} \right) \)
    
  • \( ae \left( -4 \frac{mv_0}{q\mu_0 I} \right) \)
    
  • \( a \left[ 1 - \frac{mv_0}{2q\mu_0 I} \right] \)
    
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