$A$ rod of mass $M$ and length $l$ is suspended by two wires $P$ and $Q$. $A$ uniform magnetic field $B$ is directed into the page. When current $I$ flows through the rod,the tension in each supporting wire is:

  • A
    $\frac{Mg}{2}$
  • B
    $2BIl$
  • C
    $Mg-BIl$
  • D
    $\frac{Mg-BIl}{2}$

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$A$ very large number of balls are thrown vertically upwards in quick succession in such a way that the next ball is thrown when the previous one is at the maximum height. If the maximum height is $5 \, m$,the number of balls thrown per minute is (take $g = 10 \, m/s^2$).

Given the standard electrode potentials,
$K^{+} / K = -2.93 \ V$,$Ag^{+} / Ag = 0.80 \ V$
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$Mg^{2+} / Mg = -2.37 \ V$,$Cr^{3+} / Cr = -0.74 \ V$
Arrange these metals in their increasing order of reducing power.

Crossing over occurs between which of the following?

At $25 \ ^\circ C,$ the solubility product of $Mg(OH)_2$ is $1.0 \times 10^{-11}.$ At which $pH$ will $Mg^{2+}$ ions start precipitating in the form of $Mg(OH)_2$ from a solution of $0.001 \ M \ Mg^{2+}$ ions?

$Assertion$ : The driver in a vehicle moving with a constant speed on a straight road is in a non-inertial frame of reference.
$Reason$ : $A$ reference frame in which Newton's laws of motion are applicable is non-inertial.

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