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Mixed Chapter questions with solutions

Practice Mixed Chapter for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.

Showing 1–10 of 50 questions

  • NumericmediumMixed Chapter

    A heavy spherical ball is constrained in a frame as shown in figure. The inclined surface is smooth. The maximum acceleration with which the frame can move without causing the ball to leave the frame is 2n/√3. Find value of n. [Take g = 10m/s²]

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  • NumericmediumMixed Chapter

    A long horizontal rod has a bead which can slide along its length and is initially placed at a distance L from one end A. the rod is rotated in a horizontal plane about end A, with a constant angular acceleration α = 0.1 rad/s². The coefficient of friction between rod and bead is μ = 0.4. Neglecting gravity, the time after which the bead starts slipping is ________ sec.

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  • NumericmediumMixed Chapter

    A circular ring of mass 3.14 kg and radius 0.05 m is rotating with a constant angular velocity 10 rad/s about its vertical axis on a smooth horizontal table. Then the tension in the ring is 10/n N, then n is ________.

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  • NumericmediumMixed Chapter

    A layer of benzene (μ = 1.6) of thickness 6 cm floats on water (μ′ = 1.33) of depth 4 cm in a vessel. When viewed vertically through air, find the apparent distance of the bottom of the vessel below the surface of benzene (to the nearest cm)

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  • NumericmediumMixed Chapter

    The velocity of the bullet reduces by 1/20th of its initial velocity after passing through a plank. The maximum number of planks it can cross is N. Find (N - 5)

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  • NumericmediumMixed Chapter

    A vessel, whose bottom is flat and perfectly reflecting, is filled with water (index = 4/3) upto a height = 40 cm. A point object in air above is moving towards the water surface with a constant speed = 4m/s. What is the relative speed of its final image (in m/s), as seen by the object itself, at a moment when the object is 30cm above the water surface?

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  • NumericmediumMixed Chapter

    A body starts from rest with uniform acceleration. Its velocity after 2n seconds is V₀ the displacement of body in last ‘n’ seconds is 3V₀n/β, value of β =

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  • NumericmediumMixed Chapter

    In the figure shown M₁ and M₂ are two spherical mirrors of focal length 20cm each. AB and CD are their principal axes respectively. Which are separated by 1cm. PQ is an object of height 2cm and kept at distance 30cm from M₁. The separation between the mirrors is 50cm. Consider two successive reflections first on M₁ then on M₂. Find the size of the 2nd image (in cm)

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  • NumericmediumMixed Chapter

    A particle moves in the x-y plane with velocity 𝐯 = aî + btĵ. At the instant t = a√3/b the magnitude of radial acceleration is b/n, find n = ?

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  • NumericmediumMixed Chapter

    Three small snails are each at a vertex of an equilateral triangle of side 6 meter. The first sets out towards the second, the second towards third and thirds towards the first with a uniform speed of 5 cm min⁻¹. During their motion each of them always heads towards its respective target. How much distance is covered by each snail before they meet (in meter)

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