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  • Refraction at Plane Surface

    Q

    A
  • Work,Energy and Power

    Q

    Please ask multiple queries in different posts.
    Let bob of the pendulum is raised to height H , then it is allowed to fall.
    This point will be extremity of its motion. Now the bob will move from this position to lowermost position (mean position). From energy conservation
    (KE)i + (PE)i = (KE)f + (PE)f (i , f are initial & final state)
    initially bob was at rest so (KE)i = 0 (at extreme pos)
    finally, bob was moving so (KE)f = K (at mean pos)

    initially, it was at height H so PE stored = mgH (at extreme pos)
    finally, it comes down so its PE becomes 0 .. (at mean pos)
    since energy is conserved so we can say that all of its PE is converted into its KE when it is at lowermost point(mean pos)...
    therefore the maximum velocity of bob is at the mean position.
    mathematically, v = AWcoswt ..........1 &
    x = Asinwt ........2
    V is max when coswt = + or -1
    wt = 0 or pi
    at 0 or pi , x = 0
    x = 0 , means mean position

    A
  • Traingle

    Q

    22. Ratio of area of two similar triangle is ratio of the square of their corresponding side.
    75/192 = BC²/YZ²
    25/64 = 15²/YZ²
    so, YZ² = (225 × 64)/25 = 9 × 64
    so, YZ = 3 × 8 = 24 cm

    A
  • Distance and Section Formulae

    Q

    Slope of line = - 1/(2/4) = - 2
    (4 + 2)/(a - 5) = - 2
    6 = -2(a - 5)
    a - 5 = -3
    a = 5 - 3 = 2

    A
  • Articles and Determiners

    Q

    Try Yourself.

    A
  • Calorimetry

    Q

    Since cubical expansivity of Hg is greater than that of porcelain, thus Hg will expand more than Porcelain.
    Assume that, Initially container was completely filled with mercury. Temperature is increased by Δt

    Final volume of liquid VL = Vo(1 + γHgΔT )

    Final volume of container VC = Vo(1 + γCΔT )

    So, overflow volume of liquid relative ΔV = VL – VC

    ΔV = Vo( γL – γC)ΔT. Now put this equal to the lost volume of mercury.

    A
  • Active and Passive Voice

    Q

    1. Mr. Omar earns more than Mr. Pillai.
    2. A light was turned on by someone and the door was opened.
    3. If you would have informed me about running out of bread, I would have bought then.
    4. It is very sad to hear that the poor old man is no more.
    5. Will you ever learn to be neat.
    6. Her teeth will rot unless she takes care of them.
    7. Rohit said to me, "You should inform your father about the problem."

    A
  • Reflection

    Q

    1. Y - axis
    2. (2 , 4)
    3. k = 0
    4. Image of Q by reflection in the origin = (2 , - 4)
    Image of Q by reflection in the origin followed by reflection in x - axis = (2 , 4)

    A
  • Quadratic Equation

    Q

    x + 1/5x = 2
    5x2 + 1 = 10x
    5x2 - 10x +1 = 0
    x1 = 1.9
    x2 = 0.16

    A
  • Reflection

    Q

    (a , b) when reflected in x - axis = (a , - b) = (5 , - 2)
    so, a = 5 and b = 2
    so, co-ordinate of P = P(5 , 2)
    1. P'' = (- 5 , 2)
    2. Reflection of P' about origin

    A

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