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  1. X-rays are produced by bombarding a metal target with high-speed electrons. They belong to the electromagnetic spectrum with frequencies ranging from 30 PHz to 30 EHz and are used in medical imaging and material analysis. For more visit here: https://www.tiwariacademy.com/ncert-solutions/class-12/phRead more

    X-rays are produced by bombarding a metal target with high-speed electrons. They belong to the electromagnetic spectrum with frequencies ranging from 30 PHz to 30 EHz and are used in medical imaging and material analysis.

    For more visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-12/physics/chapter-8/

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  2. While ejecting a body from the Earth, escape velocity becomes very crucial to overcome gravitational force so that it becomes free from the planet's influence. The conventional value of escape velocity from Earth's surface is about 11.2 km/s. But if the launch angle is considered to be 60 degrees wiRead more

    While ejecting a body from the Earth, escape velocity becomes very crucial to overcome gravitational force so that it becomes free from the planet’s influence. The conventional value of escape velocity from Earth’s surface is about 11.2 km/s. But if the launch angle is considered to be 60 degrees with the vertical, then the whole speed needed for escape becomes a different story.

    The required launch velocity, at an angle, would be the summation of the components of velocity. The vertical component needs to equal the escape velocity so that the body can rise infinitely against the gravity of Earth. Now, for an angle of 60 degrees, we find that in relation between the required launch velocity and the escape velocity, it shows that the necessary velocity for escape is increasing.

    Specifically, when launched at an angle of 60 degrees, the total velocity needed becomes approximately 11√3 km/s. This is because the vertical component of the launch velocity has to compensate for the angle at which the body is launched. Consequently, a launch speed of 11√3 km/s guarantees that the vertical component will match the required escape velocity of 11.2 km/s and the body will break free from Earth’s gravitational influence. This is how launch angle affects the dynamics of reaching escape velocity.

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  3. (i) Microwaves are suitable for radar systems used in aircraft navigation, with frequencies ranging from 1 GHz to 300 GHz. (ii) Gamma rays are used for treating cancer tumors, with frequencies above 30 EHz. For more visit here: https://www.tiwariacademy.com/ncert-solutions/class-12/physics/chapter-8Read more

    (i) Microwaves are suitable for radar systems used in aircraft navigation, with frequencies ranging from 1 GHz to 300 GHz.
    (ii) Gamma rays are used for treating cancer tumors, with frequencies above 30 EHz.

    For more visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-12/physics/chapter-8/

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  4. Escape velocity is defined as the minimum speed for an object to break away from the gravitational pull of a celestial body, say Earth. For Earth, this escape velocity is around 11.2 km/s. If a body is projected vertically upwards, reaching this speed enables it to overcome gravitational attractionRead more

    Escape velocity is defined as the minimum speed for an object to break away from the gravitational pull of a celestial body, say Earth. For Earth, this escape velocity is around 11.2 km/s. If a body is projected vertically upwards, reaching this speed enables it to overcome gravitational attraction without needing any further propulsion.

    In the case of launching at an angle, the scenario is different. If the projection is made at an angle of 45 degrees with respect to the vertical, then the launch velocity would need to be adjusted so that the vertical component was equal to the escape velocity at the given point. With the Earth’s gravity present, this would ensure indefinite ascent of the body projected. For an angle of 45 degrees, a relation between the total velocity at launch and the escape velocity is critical.

    More precisely, the launching speed required now becomes 11.2√2 km/s when launched at this angle of projection. The adjustment in this case will take into account both the need to maintain enough momentum upwards and the angle of projection. By attaining this higher speed, it ensures that the vertical component of the velocity is high enough to escape Earth’s gravitational pull. This shows how the launching angles impact significantly on the dynamics involved in achieving escape velocity.

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  5. Escape velocity is the minimum speed an object must reach to break free from a celestial body's gravitational influence. For Earth, the escape velocity is approximately 11.2 km/s. This value is determined by the mass and radius of the planet. When considering changes to these parameters, the escapeRead more

    Escape velocity is the minimum speed an object must reach to break free from a celestial body’s gravitational influence. For Earth, the escape velocity is approximately 11.2 km/s. This value is determined by the mass and radius of the planet. When considering changes to these parameters, the escape velocity will also change.

    If the mass of the Earth doubles while the radius is halved, the implications for escape velocity are significant. A doubling of the Earth’s mass increases the gravitational force exerted on an object at its surface. Concurrently, reducing the radius decreases the distance from the center of the Earth to the surface, which also increases the gravitational force felt by an object.

    As a result of these changes, the new escape velocity becomes approximately 22.4 km/s. This is double the original escape velocity. Therefore, a body must now reach this higher speed to escape Earth’s gravitational pull. This scenario highlights the relationship between mass, radius, and escape velocity, illustrating how modifications in these parameters can lead to significant changes in the energy required for an object to break free from a planet’s gravitational field.

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