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Science, like any knowledge, can be put to good or bad use, depending on the user. Given below are some of the applications of science. Formulate your views on whether the particular application is good, bad or something that cannot be so clearly categorised : (a) Development of new
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If the size of a nucleus (in the range of `10^(–15)m` to `10^(–14)m`) is scaled up to the tip of a sharp pin, what roughly is the size of an atom ? Assume tip of the pin to be in the range `10^(–5)m` to
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Fill in the blanks The volume of a cube of side 1 cm is equal to
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A calorie is a unit of heat or energy and it equals about 4.2 J where 1J = 1 kg `m^2 s^(–2)`. Suppose we employ a system of units in which the unit of mass equals α kg, the unit of length equals β m, the unit of time is γ s. Show that a calorie has a magnitude 4.2 `α^(–1) β^(–2) γ^(2)` in terms of the new
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Which of the following is the most precise device for measuring length : (a) a vernier callipers with 20 divisions on the sliding scale (b) a screw gauge of pitch 1 mm and 100 divisions on the circular scale (c) an optical instrument that can measure length to within a wavelength of light
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A famous relation in physics relates ‘moving mass’ m to the ‘rest mass’ `m_o` of a particle in terms of its speed v and the speed of light, c. (This relation first arose as a consequence of special relativity due to Albert Einstein). A boy recalls the relation almost correctly but forgets where to put the constant c. He writes : `m=m_o/((1-v^2)^(1/2))` Guess where to put the missing
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Give an example of a physical quantity which has a unit but no
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Give an example of a constant which has no
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An artificial satellite is revolving around a planet of mass M and radius R, in a circular orbit of radius r. From Kepler’s Third law about the period of a satellite around a common central body, square of the period of revolution T is proportional to the cube of the radius of the orbit r. Show using dimensional analysis, that `T=k/Rsqrt(r^3/g)`, where k is a dimensionless constant and g is acceleration due to
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Study the following statem ents regarding conservation law and choose the incorrect
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The respective number of significant figures for the numbers `23.023, 0.0003 and 2.1 xx 10^(-3)`
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If mass M, distance L and time T are fundamental quantities, then find the dimensions of
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If dimensions of critical velocity `v_c` of a liquid flowing through a tube are expressed as `[eta^x rho^y r^z]`, where `eta, rho and r` are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively, then the values of `x, y and z` are given
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When 1 m, 1 kg and 1 min are taken as the fundamental units, the magnitude of the force is 36 units. What will be the value of this force in CGS
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Photon is quantum of radiation with energy `E=hv`, where `v` is frequency and `h` is Planck’s constant. The dimensions of `h` are the same as that of
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Given that T stands for time period and `l` stands for the length of simple pendulum. If g is the acceleration due to gravity, then which of the following statements about the relation `T^2= l'/'g` is
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Assertion: Random errors arise due to random and unpredictable fluctuations in experimental conditions. Reason: Random errors occurred due to irregularly with respect to sign and
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A runner starts from `O` and comes back to `O` following path `OQRO` in `1h`. What is his net displacement and average
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For the `x-t` graph given below, the `v-t` graph is shown correctly
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If an object is moving in a straight line,
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