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If the distance between the sun and the earth is increased by three times, then attraction between two
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11th Physics
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Two particles of equal masses go round a circle of radius R under the action of their mutual gravitational attraction. The speed `v` of each particle
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Three equal masses of 2 kg each are placed at the vertices of an equilateral triangle and a mass of 4 kg is placed at the centroid of the triangle which is at a distance of `sqrt2 m` from each of the vertices of the triangle. The force (in newton) acting on the mass of 4 kg
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Explosions on other planets are not heard on earth.
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Air pressure in a car tyre increases during driving?
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A particle is acted simultaneously by mutually perpendicular simple hormonic motions `x = a cos ωt and y = a sin ωt` . The trajectory of motion of the particle will
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If P, Q, R are physical quantities, having different dimensions, which of the following combinations can never be a meaningful
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Answer the following questions : (a) Time period of a particle in SHM depends on the force constant k and mass m of the particle: `T=2πsqrt(m/k)`. A simple pendulum executes SHM approximately. Why then is the time period of a pendulum independent of the mass of the pendulum? (b) The motion of a simple pendulum is approximately simple harmonic for small angle oscillations. For larger angles of oscillation, a more involved analysis shows that T is greater than `2πsqrt(l/g)`.Think of a qualitative argument to appreciate this result. (c) A man with a wristwatch on his hand falls from the top
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What is the pressure inside the drop of mercury of radius 3.00 mm at room temperature ? Surface tension of mercury at that temperature (20 °C) is `4.65 × 10^(–1)` N `m^(–1)`. The atmospheric pressure is `1.01 × 10^5` Pa. Also give the excess pressure inside the
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in Vander Waal’s equation
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Which of the following functions of time represent (a) periodic and (b) non-periodic motion? Give the period for each case of periodic motion [ω is any positive constant]. sin ωt + cos 2 ωt + sin 4
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Toricelli’s barometer used mercury. Pascal duplicated it using French wine of density 984 kg `m^(–3)`. Determine the height of the wine column for normal atmospheric
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Four pendulums A, B, C and D are suspended from the same elastic support as shown in Fig. . A and C are of the same length, while B is smaller than A and D is larger than A. If A is given a transverse
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The time period of a body suspended by a spring is T. What will be the new time period if the spring is cut into two equal parts and 1) the body is suspended by one part. 2) Suspended by both parts in
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Two linear simple harmonic motions of equal amplitudes and angular frequency w and 2 w are impressed on a particle along axis X and Y respectively. If the initial phase difference between them is `π/2` , find the resultant path followed by the
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State Charles’s law? If air is filled in a vessel at `60^oc`. To what temperature should it be heated in order that `1/3^(rd)` of air may escape out of
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If a vessel contains 1 mole of O2 gas (molar mass 32) at temperature T. The pressure of the gas is P. What is the pressure if an identical vessel contains 1 mole of He at a temperature 2
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Normally, the reported result of measurement is a number that includes all digits in the number that are known reliably plus first digit that is uncertain. The digits that are known reliably plus the first uncertain digit are known as significant digits or significant figures. e.g. When a measured distance is reported to be 374.5 m, it has four significant figures 3, 7, 4 and 5. The figures 3, 7, 4 are certain and reliable, while the digit 5 is uncertain. Clearly, the digits beyond the significant digits reported in any result are superfluous.To determine the number of significant figures,
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The radius of earth is R. Height of a point vertically above the earth’s surface at which acceleration due to gravity becomes 1% of its value at the surface
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Cavendish’s ExperimentThe figure shows the schematic drawing of Cavendish’s experiment to determine the value of the gravitational constant. The bar AB has two small lead spheres attached at its ends. The bar is suspended from a rigid support by a fine wire.Two large lead spheres are brought close to the small ones but on opposite sides as shown. The value of G from this experiment came to be `6.67 xx 10^(-11) N-m^2'/'kg^2`.The torque produces twist in the suspended wire. The twisting stops
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