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In an experiment, a boy plots a graph between (v_(max))^(2)and (a_(max))^(2) for a simple pendulum for different values of (small) amplitudes, where v_(max) and a_(max) is the maximum velocity and the maximum acceleration respectively. He found the graph to be a straight line with a negative slope, making an angle of 30^(@) when the experiment was conducted on the earth surface. When the same experiment was conducted at a height h above the surface, the line was at an angle of 60^(@) . The value of h is [radius of the earth = R]

A Mendelian experiment consisted of breeding tall pea plants bearing violet flowers with short pea plants bearing white flowers. The progeny all bore violet flowers, but almost half of them were short. This suggests that the genetic make-up of the tall parent can be depicted as

Arrange the following steps of an experiment in a sequential order to determine the frequency of a simple pendulum. (A) Start the stop watch when the bob reaches the extreme position and count the number of oscillations.(B) Suspend a simple pendulum from a cork fixed to a stand. (C) Repeat the experiment and determine the time taken for 20 oscillations. (t_(2)) (D) Pull the bob of the simple pendulum from its initial position of rest and release. (E) Stop the stop watch at the end of 20 oscillations and determine the time taken to complete 20 oscillations (t_(1)) . (F) Determine the average of t_(1) and t_(2) as t. (G) The time period of the oscillation is found using. T = (t)/(20) and frequency using, f = 1/T .

The following 'precautions' were listed by a student in the experiment on study of 'Dependence of current on potential difference'. (A) Use copper wires as thin as possible for making connections. (B) All the connections should be kept tight. (C) The positive and negative terminals of the voltmeter and the ammeter should be correctly connected. (D) The 'zero error' in the ammeter and the voltmeter should be noted and taken into consideration while recording the measurements. (E) The 'key' in the circuit, once plugged in, should not be taken out till all the observations have been completed. The 'precautions' that need to be corrected and revised are :