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The moon is observed from two diametrically opposite points A and B on earth. The angle `theta` subtended at the moon by the two directions of observation is `1°54';` given that the diameter of the earth to be about `1.276xx10^7 m`. Compute the distance of the moon from the

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The ratio of the volume of the atom to the volume of the nucleus is of the order

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A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure

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The length, breadth and height of a rectangular block of wood were measured to be `l= 12.13 ± 0.02 cm, b = 8.16 ± 0.01 cm and h = 3.46 ± 0.01

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A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is `90s, 91s, 92s and 95s`. If the minimum division in the measuring clock is Is, then the reported mean time should

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In successive experiments while measuring the period of oscillation of a simple pendulum. The readings turn out to be `2.63 s, 2.56 s, 2.42 s, 2.71s and 2.80 s.` Calculate the mean absolute

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The period of oscillation of a simple pendulum is `T= 2pisqrt(L'/'g)`. Measured value of L is 20 cm known to 1 mm accuracy and time for 100 oscillations of the pendulum is found to be `90 s` using a wrist watch of Is resolution.What is the percentage error in the determination of g

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Calculate the mean percentage error in five observations, `80.0, 80.5, 81.0, 81.5 and

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Calculate the relative errors in measurement of two masses `1.02 g ± 0.01g and 9.89g +- 0.01g

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The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively 1.5% and 1%, the maximum error in determining the density

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Percentage errors in the measurement of mass and speed are 2% and 3%, respectively. The error in the estimation of kinetic energy obtained by measuring mass and speed will

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If the length of a pendulum is increased by 2%, then in a day, the

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In an experiment, four quantities `a, b, c and d` are measured with percentage error `1%, 2%, 3% and 4%,` respectively. (Quantity P is calculated as follows `P =(a^3b^2)/(cd)`, percentage error in P

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A physical quantity `z` depends on four observables `a , b, c and d` , as `z=(a^2b^(2'/'3))/(sqrtc d^3)` The percentages of error in the measurement of `a, b, c and d` are `2%, 1.5%, 4% and 2.5%` respectively. The percentage of error in `z`

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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 3.8 x 10-6 is added to 42x 10'6 giving due regard to significant figures, then the result will

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The numbers `5.355 and 5.345` on rounding off to 3 significant figures will

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If mass M, distance L and time T are fundamental quantities, then find the dimensions of

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Let `l, r, c and v` represent inductance, resistance, capacitance and voltage, respectively. The dimension of `l/(rcv)` in SI rev units will

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Obtain the dimensional formula for universal gas

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