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Given Samples of `1 cm^3` of Hydrogen and `1 cm^3` of oxygen, both at N. T. P. which sample has a larger number of

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Uranium has two isotopes of masses 235 and 238 units. If both are present in Uranium hexafluoride gas which would have the larger average speed ? If atomic mass of fluorine is 19 units, estimate the percentage difference in speeds at any temperature.Example

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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.Choose the correct

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An oxygen cylinder of volume 30 litres has an initial gauge pressure of 15 atm and a temperature of 27 °C. After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm and its temperature drops to 17 °C. Estimate the mass of oxygen taken out of the cylinder (R = 8.31 J `mol^(–1) K^(–1)`, molecular mass of O2 = 32

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A 14.5 kg mass, fastened to the end of a steel wire of unstretched length 1.0 m, is whirled in a vertical circle with an angular velocity of 2 rev/s at the bottom of the circle.The cross-sectional area of the wire is 0.065 `cm^2`. Calculate the elongation of the wire when the mass is at the lowest point of its

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The unit of length convenient on the atomic scale is known as an angstrom and is denoted by Å: 1 Å = `10^(–10)` m. The size of a hydrogen atom is about 0.5 Å. What is the total atomic volume in `m^3` of a mole of hydrogen atoms

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In the diagram shown in figure, match the Column I with Column II and select the correct option from the codes given below. (Take,`= 10 ms^(-2)`) Column I Column II A. Acceleration of 2 kg block p- 8 (SI unit) B. Net force on 3 kg block q- 25 (SI unit) C. Normal reaction between 2 kg and 1 kg r. 2 (SI unit)

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Two equal point masses are separated by a distance `d_1`. The force of gravitation acting between them is `F_1`. If the separation is decreased to `d_2`, then the new force of gravitation `F_2` , is given

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State Graham’s law of diffusion and derive

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Which of the following functions of time represent (a) simple harmonic, (b) periodic but not simple harmonic, and (c) non-periodic motion?

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In Exercise , let us take the position of mass when the spring is unstreched as x = 0, and the direction from left to right as the positive direction of x-axis. Give x as a function of time t for the oscillating mass if at the moment we start the stopwatch (t = 0), the mass is (a) at the mean position, (b) at the maximum stretched position, and (c) at the maximum compressed position. In what way do these functions for SHM differ from each other, in frequency, in amplitude or the initial

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Fill in the blanks using the word(s) from the list appended with each statement: For solids with elastic modulus of rigidity, the shearing force is proportional to ... , while for fluids it is proportional to ... (shear strain / rate of shear

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In the HC1 molecule, the separation between the nuclei of the two atoms is about 1.27 Å (1 Å = `10^(-10)` m). Find the approximate location of the CM of the molecule, given that a chlorine atom is about 35.5 times as massive as a hydrogen atom and nearly all the mass of an atom is concentrated in its

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Assertion: Sum of maximum height for angles `alpha and 90°-alpha` is independent of the angle of projection. Reason: For angles `alpha and 90°-alpha`, the horizontal range R is

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Projectile motion is a form of motion in which an object or particle is thrown with some initial velocity near the earth’s surface and it moves along a curved path under the action of gravity alone. The path followed by a projectile is called its trajectory, which is shown below. When a projectile is projected obliquely, then its trajectory is as shown in the figure below Here velocity `u` is resolved into two components, we get (a) `u cos theta` along `OX` and (b) `u sin theta` along `OY`.A cricket ball is thrown at a speed of 28 m/s in

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Force of Friction on Connected Bodies When bodies are in contact, there are mutual contact forces satisfying the third law of motion. The component of contact force normal to the surfaces in contact is called normal reaction. The component parallel to the surfaces in contact is called friction.In the above figure, `8 kg and 6 kg` are hanging stationary from a rough pulley and are about to move. They are stationary due to roughness of the pulley.Coefficient of friction of the pulley

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Acceleration due to gravityThe acceleration for any object moving under the sole influence of gravity is known as acceleration due to gravity. So, for an object of mass `m,` the acceleration experienced by it is usually denoted by the symbol g which is related to F by Newton’s second law by relation `F= mg`. Thus,`g=F/m=(GM_e)/(r_e^2)`Acceleration `g` is readily measurable as `R_e` is a known quantity. The measurement of `G` by Cavendish’s experiment (or otherwise), combined with knowledge of `g and R_e` enables one to estimate `M_e` from the above equation. This is the reason why there is a popular statement

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Prove the result that the velocity v of translation of a rolling body (like a ring, disc, cylinder or sphere) at the bottom of an inclined plane of a height h is given by `v^2=(2gh)/(1+k^2/R^2)` using dynamical consideration (i.e. by consideration of forces and torques). Note k is the radius of gyration of the body about its symmetry axis, and R is the radius of the body. The body starts from rest at the top of the

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The numbers 2.745 and 2.735 on rounding off to 3 significant figures will

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Assertion: Acceleration of a moving particle can change its direction without any change in direction of velocity. Reason: If the direction of change in velocity vector changes, direction of acceleration vector does not

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