Top JEE Doubts this Week

Sum of number of ions in aqueous solution of CrCl3.5NH3 and CrCl3 . 4NH3.
    Correct answer is '5'. Can you explain this answer?

    Anirban Banerjee answered  •  Dec 24, 2024
    JEE
    Sum of number of ions in aqueous solution of CrCl3.5NH3 and CrCl3

    CrCl3.5NH3
    CrCl3.5NH3 is a complex compound consisting of chromium(III) chloride and ammonia. The formula indicates that there are 3 chloride ions (Cl-) and 5 ammonia molecules (NH3) present in the compound.

    CrCl3
    CrCl3 is a simple ionic compound consisting of chromium(III) chlori
    ... more

    • a)
      2 - √3
    • b)
      2 + √3
    • c)
      16 - √3
    • d)
      14 - √3
    • e)
      None of these
    Correct answer is option 'C'. Can you explain this answer?

    Knowledge Center answered  •  Aug 09, 2024
    JEE
    Given expression:
    [(2 + √3) / (2 - √3)] + [(2 - √3) / (2 + √3)] + [(√3 - 1) / (√3 + 1)]
    1. Simplify the first two terms:
      • The denominator simplifies to 1.
      • The numerator becomes 14.
      • Result: 14.
    2. Simplify the third term:
      • Rationalize the denominator to get 2 - √3.
    3. Add the results:
      • 14 + (2 - √3) = 14 - √3.
    Correct Answer: C: 14 - √3

    The annual income of Victor and Angela are in the ratio 8 : 3 and their annual expenditures are in the ratio 4 : 1. If each save Rs. 2000 per annum. What is the annual expense of Angela?
    a)2000
    b)4000
    c)5000
    d)2500
    Correct answer is option 'D'. Can you explain this answer?

    Aarav Sharma answered  •  Jul 03, 2020
    JEE
    : y : z will still be the same as the original ratio.

    Let the original ratio be a:b:c, so we can write:

    x = a/(a+b+c) * 5000
    y = b/(a+b+c) * 5000
    z = c/(a+b+c) * 5000

    Now, let's apply the given reductions:

    x' = (a-50)/(a+b+c) * 5000
    y' = (b-100)/(a+b+c) * 5000
    z' = (c-150)/(a+b+c) * 5000

    We want to show that:

    x'/
    ... more

    Mayank can do 50% more work than Shishu in the same time. Shishu alone can do a piece of work in 30 hours. Shishu starts working and he had already worked for 12 hours when Mayank joins him. How many hours should Shishu and Mayank work together to complete the remaining work?
    • a)
      6
    • b)
      12
    • c)
      4.8
    • d)
      7.2
    Correct answer is option 'D'. Can you explain this answer?

    Ishani Rane answered  •  Apr 03, 2023
    JEE
    Shishu alone does the work in 30 hours 

    So in 1 hour he does 1/30 of the work 

    Mayank in 1 hour does 1/30 + 1/2*1/30= 1/30 +1/60 = 3/60 = 1/20 of the work 

    Together in 1 hour they do 1/30 +1/20 = 5/60 = 1/12 of the work 

    Together they can finish the work in 12 hours 

    Shishu in 12 hours does 12/ 30 = 2/5 

    Remaining work = 3/5 

    3/5 X 12 = 36/5 = 7.2 hours

    What would be the horse power of a steam engine with average pressure of steam 9x 104 Nm-2 , the area of cross section of the piston is 0.2 m2, length of stroke is 0.6 m and piston makes 5 revolutions per second?
    • a)
      150 h.p.
    • b)
      140.7 h.p.
    • c)
      104.7 h.p.
    • d)
      144.77 h.p.
    Correct answer is option 'D'. Can you explain this answer?

    Arnav Chawla answered  •  Aug 24, 2021
    JEE
    To calculate the horsepower of a steam engine, we need to use the formula:

    Horsepower = (Force x Distance) / Time

    First, we need to calculate the force exerted by the steam on the piston. The force can be determined using the formula:

    Force = Pressure x Area

    Given that the average pressure of the steam is 9 x 10^4 N/m^2 and the area of the cross-section
    ... more

    What will be at the sign of interrogation?
    • a)
      10
    • b)
      13
    • c)
      12
    • d)
      11
    Correct answer is option 'B'. Can you explain this answer?

    Anjali Sharma answered  •  Jun 03, 2025
    JEE
    According to the given figure:
    The numbers in the triangle adjacent to the rectangular block, when added to thrice the number which is adjacent to that particular triangle in the anticlockwise direction, will result in the number in the rectangular block:
    ⇒ 1 + 4 × 3 = 13
    ⇒ 2 + 1 × 3 = 5
    ⇒ 3 + 2 × 3 = 9
    Let us consider the unknown number to be x. By applying the above pattern, we get:
    ⇒ x = 4 + 3 × 3 = 13
    ⇒ x = 13
    Hence, the correct answer is 13.

    In a group of people, 28% of the members are young while the rest are old. If 65% of the members are literates, and 25% of the literates are young, then the percentage of old people among the illiterates is nearest to
    • a)
      62
    • b)
      55
    • c)
      66
    • d)
      59
    Correct answer is option 'C'. Can you explain this answer?

    S.S Career Academy answered  •  3 weeks ago
    JEE
    Let ‘x’ be the strength of group G. Based on the information, 0.65x constitutes of literate people {the rest 0.35x = illiterate}
    Of this 0.65x , 75% are old people =(0.75)0.65x old literates.
    The total number of old people in group G is 0.72x  {72% of the total}.
    Thus, the total number of old people who are illiterate = 0.72x - 0.4875x = 0.2325x.
    This is 
    ≈ 66& of the total number of illiterates.
    Hence, Option C is the correct answer.

    Two plates are oppositely charged uniformly and kept parallel to each other at a certain distance. What will be the nature of electric field lines in between them?
    • a)
      Circular
    • b)
      Parallel to each other throughout the cross section
    • c)
      Not uniformly distributed
    • d)
      Parallel and uniform in central part but fringes out at the extreme ends
    Correct answer is option 'D'. Can you explain this answer?

    Keerthana Iyer answered  •  4 weeks ago
    JEE
    Electric Field Lines between Parallel Plates

    When two plates are oppositely charged and kept parallel to each other at a certain distance, an electric field is established between them. The nature of electric field lines in between them is as follows:

    Uniform Electric Field in Central Part

    In the central part of the space between the plates, the electric field line
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    • a)
      51
    • b)
      59
    • c)
      57
    • d)
      53
    • e)
      None of these
    Correct answer is option 'C'. Can you explain this answer?

    Knowledge Center answered  •  Jun 18, 2024
    JEE
    Solution for ∛185193
    To solve ∛185193, we find the cube root:
    • The cube root of 185193 is 57, since 57³ = 185193.
    Correct Answer: C: 57

    The voltage 7.25 sin (300t) is applied to a series RLC circuit with R = 120 ohms, L = 0.140 H and C = 1.45 μF. What is the impedance Z and the phase angle θ?
    • a)
      120 ohms, -10.2o
    • b)
      306 ohms, -68.1o
    • c)
      2340 ohms, -25.7o
    • d)
      2260 ohms, -87o
    Correct answer is option 'D'. Can you explain this answer?

    Naina Kumar answered  •  May 20, 2024
    JEE
    Calculating Impedance and Phase Angle:

    Given data:
    - Voltage: V = 7.25 sin(300t) V
    - R = 120 ohms
    - L = 0.140 H
    - C = 1.45 μF

    Impedance (Z) Formula:
    - Impedance in an RLC circuit is given by the formula:
    Z = √(R^2 + (XL - XC)^2)
    where XL = 2πfL and XC = 1/(2πfC)

    Calculations:
    - XL = 2πfL = 2π*300*0
    ... more

    The electric intensity due to a dipole of length10 cm and having a charge of 500 μC, at a pointon the axis at a distance 20 cm from one of thecharges in air, is [2001]
    • a)
      6.25 × 107 N/C
    • b)
      9.28 × 107 N/C
    • c)
      13.1 × 1011 N/C
    • d)
      20.5 × 107 N/C
    Correct answer is option 'A'. Can you explain this answer?

    Sonal Kulkarni answered  •  Jun 04, 2025
    JEE
    Given : Length of the dipole (2l) =10cm
    = 0.1m or l = 0.05 m
    Charge on the dipole (q) = 500 μC = 500 ×
    10–6 C and distance of the point on the axis
    from the mid-point of the dipole (r) = 20 + 5 =
    25 cm = 0.25 m. We know that the electric
    field intensity due to dipole on the given 
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