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    PHYSICS X

    Numerical

    Chapter 10

    Time period T = 2sec

    Length on earth Le = ?

    Length on moon Lm = ?

    Gravitational force g = 10 m/s2

    Solution:

    Formula:

    By taking square on both side.

    Length on moon

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    2.

    Length l = 1m

    Time period T = 4.9sec

    G = ?

    Solution:

    Formula:

    By taking square on both side.

    3.

    Length = 1m

    Time period on earth Te =?

    Time period on moon Tm = ?

    ge = 10 m/s2

    gm = 10/6m/s2

    Solution:

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    Formula:

    T(e) = 2sec

    On moon

    T(e) = 4.9sec

    4.

    T = 2sec

    gm = 10 m/sec2

    l = ?

    Solution:

    Formula:

    By taking square on both side.

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    5.

    Number of waves. N = 100

    t = 20sec

    Frequency f = ?

    t = ?

    Length l = 6cm or 0.06m

    v = ?

    Solution:

    Formula:

    Time period;

    Vilocty

    Answers

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    F = 5 Hz

    T= 0.2 sec

    V = .3m/sec

    6.

    f = 12 Hz

    = 3cm or 0.03 mV = ?

    Solution:

    Formula:

    7.

    f = 190Hz

    l = 90m

    t = 0.5 sec

    Time period;

    Speed;

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    8.

    F = 4.8Hz

    V = ?

    t = ?

    Solution:

    Formula:

    Time period;

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    9.

    Width of ripple tank = d = 80cm or 0.8m

    f = 5 Hz

    Or T = ?

    Solution:

    Time period;

    10.

    f = 90 MHz = 90 106Hz

    wavelength = ?

    v = 3 108m/s

    Solution:

    Formula:

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    Ch 11

    Intensity of normal sound I = 3.0 10-6

    Wm-2

    Level of sound = 100dB

    Intensity level on dB = ?

    Sound level = ?

    Solution:

    Sound level = Sound level =

    Sound level =

    Sound level = 10 log (310-6 1012)

    Sound level = 10 log(3 1012-6)

    Sound level = 10 log(3 106)

    Sound level = 10(6.4)

    Sound level = 64.8 dB

    Intensity:

    Sound level =

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    2.

    Sound level = 80dB

    Sound intensity = ?

    Io = 10-12Wm-2

    Solution:

    Formula:

    Sound level =

    3.

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    V = 330 m/sec

    or 5 10-2mF = ?

    Solution:

    4.

    T = 1min or 60 sec

    Heart beats = 72

    In 60 second = 72

    In 1 second = F = 1.2 Hz

    Solution:

    Time period;

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    5.

    V = 1500m/sec

    T = 1.5sec or = .75sec (one side time of waves)Distance = ?

    Formula:

    S = VT

    S = 1500 0.75

    S = 1125m

    6.

    T = 5sec or= 2.5 sec (one side time of waves)

    S = ?

    V = 346 m/sec

    Formula

    S = VT

    S = 346 2.5

    S = 865m

    7.

    T = 3.42sec or = 1.71 sec (one side time of waves)S = ?

    V = 531 m/sec

    Formula

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    S = VT

    S = 531 1.71

    S = 2618m

    8.

    F(high) = 20000Hz

    F(low) = 20Hz

    V = 343 m/sec

    ?For high level frequency

    For low level frequency

    9.

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    F = 2kHz or 2 103Hz

    35 cm or 0.35mS = 1.5km or 1.5 103m

    T = ?

    V = ?

    Solution:

    Formula:

    Ch 12

    1

    P = 10CM

    Q = -5a

    F = ?

    Formula:

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    2

    Ho = 30cm

    P = 10.5cm

    Q = ?

    H1 = ?

    F = 16cm

    Formula:

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    3

    P = 20CM

    Q = 20cm

    F = ?

    Formula:

    4

    P = 34.4CM

    Q = -5.66cm

    F = ?

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    Formula:

    5

    P = ?

    Q = -11.5

    F = -13.5

    Formula:

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    7

    R = 38cm F = 19CM

    P = 50cm

    Q = ?

    Formula:

    8

    Ho = 4cmP = 12cm

    Q = ?

    H1 = ?

    F = 8cm

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    Formula:

    9

    Ho = 10cm

    P = 20cm

    Q = ?

    H1 = ?

    F = -15cm

    Formula:

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    Ch 13

    q = 100c = 10010-6

    Cnegative charge = 1.6 10-19C

    number of points. = ?

    Solution:

    number of points =

    number of points = 6.25 1013

    2.

    Q1 = 10 c or 1010-6C

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    Q2 = 5 c or 510-6C

    R = 150cm 1.5m

    F = ?

    Solution:Formula:

    3.

    F = 0.8 N

    r = 0.1m

    q = ?

    Solution:

    Formula:

    As

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    By taking square root on both sides.

    4.

    S =5cmor 5 10-2m

    F = 0.1N

    F = ?

    S = 2cm or 210-2m

    Solution:

    Formula:

    As

    To find out the value of force when r = 2cm

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    5.

    V = 104 V

    Q = 100 c or 10010-6 C

    W = ?

    Solution:

    Formula:

    W= VQ

    W = 104 10010-6

    W = 1 j

    6.

    Q = +2C

    VA = 100V

    VB = 50V

    W = ?

    Solution:

    Formula:

    V = (VA-VB)V = (100- 50) = 50V

    W = VQ

    W = 50 2

    W = 100 j

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    7.

    V = 9V

    Q = 0.06C

    C = ?

    Solution:

    Formula:

    Q = CV

    8.

    V = 6v

    Q = 0.03C

    C = ?

    V = ?

    Solution:

    Q = CV

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    Q = CV

    9.

    C1 = 6 F or 610-6F

    C2 = 12 F or 1210-6F

    V = 12VEqualing capacitance. Ce = ?

    Q = ?

    V1 = ?

    V2 = ?

    Solution:

    Charge

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    VOLTAGE

    10

    C1 = 12 F

    C2 = 6 F

    Ce = ?

    Q1 = ?

    Q2 = ?

    Solution:

    FORMULA

    Ce = C1+ C2

    = (6+12)

    Ce = 18 F

    Q1 = C1V

    = 12 10-612

    = 144 F

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    Q2 = C2V

    = 6 10-612

    = 72 F

    Ch 14

    Time = 1 min = 60sec

    Current = 3mA = 310-3

    Formula :

    Q = I t

    Q = 310-3 60

    = 180 10-3C

    2

    R = 100000

    V = 12 v

    I = ?

    (II)

    R =

    V = 12

    I = ?

    Formula :

    V= IR

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    (II)

    FORMULA

    V= IR

    3

    R = M 6V = 100V

    I = ?

    Formula :

    V= IR

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    4

    V = 10V

    I = 1.5A

    T = 2min = 120sec

    W = ?

    Formula

    W = VIt

    W = 101.5120

    W = 1800j

    5

    R1 =

    k

    R2 = kRe = ?

    I = ?

    V1 = ?

    V2 = ?

    Formula:

    Re = R1+R2

    = 2+8

    = k

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    V1 = IR1

    = 110-3 2103

    = 2V

    V2 = IR2

    = 110-3 8103

    = 8V

    6

    R1 = kR2 = kV = 6V

    Re = ?

    I = ?

    V1 = ?

    V2 = ?

    Formula:

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    7

    P = 100W

    V = 220V

    R = ?

    FORMULA:

    P = IV

    100 = I220

    I = 100/220

    I = 0.45A

    V = IR

    R = V/I

    R = 220/0.45

    R = `

    ENERGY IN KW HOUR= ENERGY IN KW HOUR=

    ENERGY IN KW HOUR=

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    8

    P = 150w

    R = Formula:

    P = IV or P = I2R

    I2 = P/R

    I2 = 150/95

    I2 = 1.58

    I = 1.25A

    V = IR

    V = 1.25 95

    V = 119 VOLT

    9

    BULB = 100W

    HEATER = 4KW

    V = 250V

    I = ?

    R = ?

    FORMULA;

    BULB:

    P = IV

    I = P/V

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    I = 100/250

    I = 0.4A

    P = IV or P = I2R

    R = P/I2

    R = 100/(0.4)2

    R = FOR HEATER;

    P = IV

    I = P/V

    I = 4000/250

    I = 16A

    P = IV or P = I2R

    R = P/I2

    R = 4000/(16)2

    R =

    11

    R = V = 3v

    I = 0.5A

    P = ?

    P = I2R

    P = 0.50.55.6

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    P = 1.4w

    TOTAL POWER OF BETTRY

    P =IV

    P = 0.5 3

    P = 1.5W

    CH 15

    VP = 240V

    VS = 12V

    NP = 2000

    NS = ?

    FORMULA:

    2

    VP = 20V

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    NP = 100 : 1 =

    VS = ?

    FORMULA:

    3

    VP = 170V

    N = 100 : 1 =

    IP = 1.0Ma

    IS = ?

    VS = ?

    Solution:

    FORMULA:

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    4

    VP = 240V

    VS = 12V

    NP = 4000

    NS = ?

    EFFICIENCY = 100%

    IP = ?

    IS = 0.4A

    Solution:

    FORMULA:

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    5

    P = 500 MW = 500106W

    V = 250Kw = 250103w

    I = ?

    Solution:

    P = IV

    Ch # 18

    Half life of N

    16

    7 = 7.3 sec

    Time = 29.9

    Remaining quantity of N = ?

    Number of half life =

    After first half life =

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    After 2ndhalf life =

    After 3rd

    half life =

    After 4th

    half life =

    2

    Half life of Co-60 = 5.25 years

    Time = 26 years

    Remaining quantity of Co = ?

    Number of half life =

    After first half life =

    After 2nd

    half life =

    After 3rd

    half life =

    After 4th

    half life = After 5thhalf life =

    3

    Half life of C-14 = 5730 years

    Initial quantity = 1

    Remaining quantity of C =

    After first half life =

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    After 2ndhalf life =

    After 3rd

    half life =

    Total half life for

    of C= 3

    Total years = 3 5730

    = 17190

    = 1.72104 years

    4

    Half life of technetium = 6 hours

    Total quantity of technetium = 200 mg

    Quantity after 6 half life = ?

    Quantity of 6th

    half life is =

    =

    = 3.125 mg

    5

    Half life of redio active = 10 min

    Initial rate = 368 / min

    Count rate for 23 = ?

    After 10 minuts =

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    After 10 minuts =

    After 10 minuts =

    After 10 minuts =

    Total half life = 4

    Time = 10 4 = 40 min

    9

    Half life of C-14 = 5730 years

    Initial quantity = 1

    Remaining quantity of C =

    After first half life =

    After 2ndhalf life =

    After 3rd

    half life = Total half life for

    of C= 3Total years = 3 5730

    = 17190