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  1. The passage explains that Yoga is often misunderstood as merely physical exercise involving stretches and breathing techniques. In reality, it is a profound science that nurtures mental, emotional, and spiritual growth. Yoga helps individuals unlock their inner potential and achieve harmony within tRead more

    The passage explains that Yoga is often misunderstood as merely physical exercise involving stretches and breathing techniques. In reality, it is a profound science that nurtures mental, emotional, and spiritual growth. Yoga helps individuals unlock their inner potential and achieve harmony within themselves and with the world. Its practices go beyond physical fitness to promote mindfulness, self-awareness, and tranquility, making it a comprehensive approach to holistic health and personal transformation.

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  2. Yoga originated thousands of years ago in India and was passed down through generations, deeply rooted in ancient texts and traditions. Over time, it evolved to include diverse practices, combining physical postures, breathing techniques, and meditation. Today, Yoga is embraced worldwide for its holRead more

    Yoga originated thousands of years ago in India and was passed down through generations, deeply rooted in ancient texts and traditions. Over time, it evolved to include diverse practices, combining physical postures, breathing techniques, and meditation. Today, Yoga is embraced worldwide for its holistic approach to health and well-being. Its rich history and philosophy have allowed it to endure, making it a timeless practice that continues to inspire individuals across different cultures and lifestyles.

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  3. The passage highlights Yoga as a journey of self-discovery, fostering holistic health by strengthening the body and calming the mind. It is portrayed as more than physical exercise—a profound science that helps individuals unlock their infinite potential. Through its practices, Yoga encourages balanRead more

    The passage highlights Yoga as a journey of self-discovery, fostering holistic health by strengthening the body and calming the mind. It is portrayed as more than physical exercise—a profound science that helps individuals unlock their infinite potential. Through its practices, Yoga encourages balance, harmony, and inner peace, contributing to overall well-being. By incorporating its principles into daily life, practitioners can achieve self-realization, mindfulness, and a deeper connection with themselves and the world around them.

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  4. To calculate the kinetic energy of a body given its mass and momentum, we can make use of the relationship between momentum (p) and kinetic energy (K.E.). Step 1: Write the formulas - Momentum (p) is given by: p = mv - Kinetic energy (K.E.) is given by: K.E. = (1/2) mv² Step 2: Relate momentum to kiRead more

    To calculate the kinetic energy of a body given its mass and momentum, we can make use of the relationship between momentum (p) and kinetic energy (K.E.).

    Step 1: Write the formulas

    – Momentum (p) is given by:
    p = mv

    – Kinetic energy (K.E.) is given by:
    K.E. = (1/2) mv²

    Step 2: Relate momentum to kinetic energy

    We can write kinetic energy in terms of momentum:
    Using the relation p = mv, we can rearrange to find v:

    v = p/m

    Substituting this into the kinetic energy formula:

    K.E. = (1/2) m (p/m)²
    K.E. = (1/2) (p²/m)

    Step 3: Substitute the values

    Given:
    – Mass (m) = 2 kg
    – Momentum (p) = 2 N·s (Note: momentum is in kg·m/s which is equivalent to N·s)

    Now substituting into the formula for kinetic energy:

    K.E. = (1/2) (p²/m)
    K.E. = (1/2) [(2)² / 2]
    K.E. = (1/2) [4 / 2]
    K.E. = (1/2) [2]
    K.E. = 1 J

    Final Answer:
    The kinetic energy of the body is 1 J.

    Click here:
    https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-5/

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  5. To find the motion of the body placed on a rough horizontal plane, we need to consider the effects of friction and applied force. Given: Mass of the body (m) = 2 kg Coefficient of friction (μ) = 0.2 Acceleration due to gravity (g) = 9.8 m/s² (we will use 10 m/s² for simplicity) Step 1: Calculate theRead more

    To find the motion of the body placed on a rough horizontal plane, we need to consider the effects of friction and applied force.

    Given:
    Mass of the body (m) = 2 kg
    Coefficient of friction (μ) = 0.2
    Acceleration due to gravity (g) = 9.8 m/s² (we will use 10 m/s² for simplicity)

    Step 1: Calculate the normal force (N)

    On a horizontal plane, the normal force (N) is equal to the weight of the body:
    N = m * g
    N = 2 kg * 10 m/s²
    N = 20 N

    Step 2: Find the maximum static friction (f_s)

    The maximum static friction is given by:
    f_s = μ * N
    f_s = 0.2 * 20 N
    f_s = 4 N

    Step 3: Analyze the applied force (F)

    Case (a): If F = 5 N
    – The applied force (5 N) is greater than the maximum static friction (4 N).
    – Hence, the body will move in the forward direction.

    Case (b): If F = 3 N
    – The applied force (3 N) is less than the maximum static friction (4 N).
    – Thus, the body will not move and will remain at rest.

    **Case (c):** If F = 3 N
    – Since the applied force is not enough to overcome friction, the body will remain at rest.

    Conclusion:
    – For F = 5 N, the body will move in the forward direction.
    – For F = 3 N, the body will remain at rest.
    – Hence, both (a) and (c) are correct.

    Final Answer:
    The correct options are both (a) and (c).

    Click here for more:
    https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-5/

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