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qUESTIONS

A student performs an experiment for the determination of g= 4π^2l/T^2, he commits an error of Al. For that he takes the time of n oscillations with the stop watch of least count AT and he commits a human error of 0.1 sec. For which of the following data, the measurement of g will be most accurate [2006]

A student measures the time period of 100 oscillations of a simple pendulum four times. That data set is 90 s, 91 s, 95 s and 92 s. If the minimum division in the measuring clock is 1 s, then the reported mean time should be [2006]

A wire has a mass 0.3±0.003g, radius 0.5 ± 0.005 mm and length 6±0.06cm. The maximum percentage error in the measurement of its density is [2004]

In the relation P = (α/β)e^−αzkθ , p is pressure, Z is distance, k is Boltzmann constant and θ is the temperature. The dimensional formula of β will be [2004]

The quantity 𝑋 = 𝜀0𝐿𝑉/𝑡 where 𝜀0 is the permittivity of free space, L is length, V is the potential difference and t is time. The dimensions of X are the same as that of [2001]

The dimensions of permittivity & are [2013]

Which of the following groups have different dimensions? [2005]

If E and G respectively denote energy and gravitational constant, then E/G has the dimensions of [2021]

The speed (v) of ripples on the surface of water depends on surface tension (σ), density (p) and wavelength (λ). The square of speed (v) is proportional to [2007]

If the constant of gravitation (G), Planck’s constant (h) and the velocity of light (c) be chosen as fundamental units. The dimension of the radius of gyration is [2008]

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