Research Aptitu...

A known positive charge is located at point P between two unknown charges, Q1 and Q2. P is closer to Q2 than Q1. If the net electric force acting on the charge at P is zero, it may correctly be concluded that:

Which of the following solutions, when mixed, will not form a buffer solution?

Three identical masses are at the three corners of the triangle, connected by massless identical springs (rest length 10) forming an isosceles right-angle triangle. If the two sides of equal length (of length 210) lie along positive x-axis and positive y-axis, then the force on the mass that is not at the origin but on the x-axis is given by with

Consider a rope fixed at both ends under tension so that it is horizontal (i.e., assume the rope is along the x-axis, with gravity acting along the z-axis). Now the right end is continually oscillated at high frequency n (say n=100 Hz) horizontally and in a direction along the rope; amplitude of oscillation is negligible. The oscillation travels along the rope and is reflected at the left end.

Let the total length of rope be I, total mass be m and the acceleration due to gravity be g.

After initial phase (say a minute or so), the rope has (BLANK-1)_ wave, which is_(BLANK-2)__in nature. It results from superposition of left travelling and right traveling _(BLANK-3) waves. This resulting wave has a frequency__(BLANK-4) _ that of oscillation frequency nu, Simpy &fmensional analysis indicates that the frequency of can be of the form:___(BLANK-5)__.

The value of (√8)^⅓is:

(1/216)^-⅔ / (1/27)^-4/3 = ?

If √2ⁿ= 64, then the value of n is:

If  then n equals:

How many terms are there in the AP 20, 25, 30, .............. 130.

Find the 1st term of an AP whose 8th and 12 m terms are respectively 39 and 59.