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A SONAR (sound navigation and ranging) uses ultrasonic waves to detect and locate objects under water. In a submarine equipped with a SONAR the time delay between generation of a probe wave and the reception of its echo after reflection from an enemy submarine is found to be 77.0 s. What is the distance of the enemy submarine? (Speed of sound in water = 1450 m
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A 400kg satellite in a circular orbit of radius 2 Re about the earth calculate the kinetic energy potential energy and total energy of the satellite? `R_E = 6.4xx10^6m M = 6xx10^(24)kg`
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Derive an expression for the pressure due to an ideal
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A tank of volume `0.3m^3` contains 2 moles of Helium gas at `20^oC`. Assuming the helium behave as an ideal gas;1) Find the total internal energy of the system.2) Determine the r. m. s. Speed of the
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What is the excess pressure inside a bubble of soap solution of radius 5.00 mm, given that the surface tension of soap solution at the temperature (20 °C) is `2.50 × 10^(–2)` N `m^(–1)` ? If an air bubble of the same dimension were formed at depth of 40.0 cm inside a container containing the soap solution (of relative density 1.20), what would be the pressure inside the bubble ? (1 atmospheric pressure is `1.01 × 10^5`
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chapter10
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A cylindrical log of wood of height h and area of cross-section A floats in water. It is pressed and then released. Show that the log would execute S.H.M. with a time period. `T=2 πsqrt(m/(A ρg))` where m is mass of the body and ρ is density of the
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A body is moved along a straight line by a machine delivering a power proportional to time `(P prop t)`. Then, match the Column I with Column II and select the correct option from the codes given below. Column I Column II A. Velocity is proportional to p. `t` B. Displacement is proportional to q. `t^2` C. Work done is proportional to r. `t^3`
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chapter6
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A particle is moving with SHN in a straight line. When the distance of the particle from mean position has values `x_1 and x_2` the corresponding values of velocities are `v_1 and v_2`. Show that the time period of oscillation is given
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If `G` is universal gravitational constant and `g` is acceleration due to gravity, then the unit of the quantity `G/g`
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Derive Avogadro’s
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What is the relation between pressure and kinetic energy of
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Use the formula `v=sqrt((γP)/ρ)` to explain why the speed of sound in air (a) is independent of pressure, (b) increases with temperature, (c) increases with
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A body of mass m is attached to one end of a massless spring which is suspended vertically from a fixed point. The mass is held in hand so that the spring is neither stretched nor compressed. Suddenly the support of the hand is removed. The lowest position attained by the mass during oscillation is 4cm below the point, where it was held in hand.
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Give two methods for measuring time
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Assertion: Electric force and magnetic force are jointly called electrom agnetic force. Reason: Electric and magnetic effects are
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Assertion: A particle is projected with speed `u` at an angle `theta` with the horizontal. At any time during motion, speed of particle is `v` at angle `alpha` with the vertical, then `v sin alpha` is always constant throughout the motion. Reason: In case of projectile motion, magnitude of radial acceleration at topmost point is
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chapter4
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A point mass `m` is attached to a massless string whose other end is fixed at `P` as shown in figure. The mass is undergoing circular motion in `xy`-plane with centre `O` and constant angular speed `Omega`. If the angular momentum of the system, calculated about `O and P` be `L_O and L_P` respectively,
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chapter7
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Moment of InertiaA heavy wheel called flywheel is attached to the shaft of steam engine, automobile engine etc., because of its large moment of inertia, the flywheel opposes the sudden increase or decrease of the speed of the vehicle. It allows a gradual change in the speed and prevents jerky motion and hence ensure smooth ride of passengers.Three thin rods each of length L and mass M are placed along X, Y and Z -axes such that one end of each rod is at origin. The moment of inertia of this system about Z-axis
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Starting from the centre of the earth having radius R, the variation of g (acceleration due to gravity) is shown by which of the following option
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chapter8
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Though the law gives women equal status in India, many people hold unscientific views on a woman’s innate nature, capacity and intelligence, and in practice give them a secondary status and role. Demolish this view using scientific arguments, and by quoting examples of great women in science and other spheres; and persuade yourself and others that, given equal opportunity, women are on par with
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