$A$ positively charged $(+q)$ particle of mass $m$ has kinetic energy $K$ and enters a region with a horizontal magnetic field $\overrightarrow{B}$ in a vertically downward direction. The acceleration of the particle is:
- A$q B \sqrt{\frac{2 K}{m}}$
- B$\frac{q B \sqrt{2 K}}{m^{3/2}}$
- C$\frac{2 qB}{m^{3/2}} \sqrt{2 K}$
- D$2 q B \sqrt{\frac{2 K}{m}}$
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Similar Questions
A company manufactures two types of screws $A$ and $B.$ All the screws have to pass through a threading machine and a slotting machine. A box of Type $A$ screws requires $2\, minutes$ on the threading machine and $3\, minutes$ on the slotting machine. A box of type $B$ screws requires $8\, minutes$ of threading on the threading machine and $2\, minutes$ on the slotting machine. In a week, each machine is available for $60\, hours.$ On selling these screws, the company gets a profit of $Rs.\, 100$ per box on type $A$ screws and $Rs.\, 170$ per box on type $B$ screws. Formulate this problem as a $LPP$ given that the objective is to maximise profit.
A company manufactures two types of screws $A$ and $B.$ All the screws have to pass through a threading machine and a slotting machine. A box of Type $A$ screws requires $2\, minutes$ on the threading machine and $3\, minutes$ on the slotting machine. A box of type $B$ screws requires $8\, minutes$ of threading on the threading machine and $2\, minutes$ on the slotting machine. In a week, each machine is available for $60\, hours.$ On selling these screws, the company gets a profit of $Rs.\, 100$ per box on type $A$ screws and $Rs.\, 170$ per box on type $B$ screws. Formulate this problem as a $LPP$ given that the objective is to maximise profit.
The population $p(t)$ at time $t$ of a certain mouse species follows the differential equation $\frac{d p(t)}{d t}=0.5 p(t)-450$. If $p(0)=850$, then the time at which the population becomes zero is
$75 \ mL$ of $0.2 \ M \ HCl$ is mixed with $25 \ mL$ of $1 \ M \ HCl$. To this solution,$300 \ mL$ of distilled water is added. What is the $pH$ of the resultant solution?
Which of the following has the strongest bond?
The correct match of the group reagents in List$-I$ for precipitating the metal ion given in List$-II$ from solutions, is
List$-I$
List$-II$
$(P)$ Passing $H _2 S$ in the presence of $NH _4 OH$
$(1) \ Cu ^{2+}$
$(Q) \ \left( NH _4\right)_2 CO _3$ in the presence of $NH _4 OH$
$(2) \ Al ^{3+}$
$(R) \ NH _4 OH$ in the presence of $NH _4 Cl$
$(3) \ Mn ^{2+}$
$(S)$ Passing $H _2 S$ in the presence of dilute $\text{HCl}$
$(4) \ Ba ^{2+}$
$(5) \ Mg ^{2+}$
| List$-I$ | List$-II$ |
| $(P)$ Passing $H _2 S$ in the presence of $NH _4 OH$ | $(1) \ Cu ^{2+}$ |
| $(Q) \ \left( NH _4\right)_2 CO _3$ in the presence of $NH _4 OH$ | $(2) \ Al ^{3+}$ |
| $(R) \ NH _4 OH$ in the presence of $NH _4 Cl$ | $(3) \ Mn ^{2+}$ |
| $(S)$ Passing $H _2 S$ in the presence of dilute $\text{HCl}$ | $(4) \ Ba ^{2+}$ |
| $(5) \ Mg ^{2+}$ |
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