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Physics-

General

Easy

Question

A disc arranged in a vertical plane has two groves of same length directed along the vertical chord AB and CD as shown in the fig. The same particles slide down along AB and CD. The ratio of the time t_AB/t_CD is

1 : 2
1 : $\sqrt{2}$
2 : 1
$\sqrt{2}$ : 1

The correct answer is: 1 : $square root of 2$

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In the arrangement shown in the figure, mass of the block B and A is 2m and m respectively. Surface between B and floor is smooth. The block B is connected to the block C by means of a string pulley system. If the whole system is released, then find the minimum value of mass of block C so that block A remains stationary w.r.t. B. Coefficient of friction between A and B is m :

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$text Let end text f left parenthesis x right parenthesis equals x plus s i n invisible function application x text and end text g left parenthesis x right parenthesis text be the inverse of end text f left parenthesis x right parenthesis text . Then area bounded by end text g left parenthesis x right parenthesis text and end text text the ordinates end text x equals 0 comma x equals pi text is end text$

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Suppose A and B are two nonsingular matrices such that $A B equals B A to the power of 2 end exponent text and end text B to the power of 5 end exponent equals I comma text then end text$

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parallel

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