MCQ
For given systen ${\theta _2}$ ....... $^o$
- A$30^o$
- B$45^o$
- C$60^o$
- ✓${\tan ^{ - 1}}\left( {\frac{1}{2}} \right)$
✓
Answer
Correct option: D.
${\tan ^{ - 1}}\left( {\frac{1}{2}} \right)$
d
$\frac{{\sin {\theta _2}}}{{\cos {\theta _2}}} = \frac{{mg}}{{2mg}}$$ \Rightarrow $ $\tan {\theta _2} = \frac{1}{2}$
$\frac{{\sin {\theta _2}}}{{\cos {\theta _2}}} = \frac{{mg}}{{2mg}}$$ \Rightarrow $ $\tan {\theta _2} = \frac{1}{2}$
$\therefore {\theta _2} = {\tan ^{ - 1}}\left[ {\frac{1}{2}} \right]$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Two stones of different masses are dropped simultaneously from the top of a building
A spherical marble of radius $1\, cm$ is stuck in a circular hole of radius slightly smaller than its own radius (for calculation purpose, both can be taken same) at the bottom of a bucket of height $40 \,cm$ and filled with water up to $10 \,cm$. If the mass of the marble is $20 \,g$, then the net force on the marble due to water is close to
→A semiconductor $X$ is made by doping a germanium crystal with arsenic $(Z = 33)$. $A$ second semiconductor $Y$ is made by doping germanium with indium $(Z = 49)$. The two are joined end to end and connected to a battery as shown. Which of the following statements is correct
→A uniform rod of length $l$ is being rotated in a horizontal plane with a constant angular speed about an axis passing through one of its ends. If the tension generated in the rod due to rotation is $T(x)$ at a distance $x$ from the axis, then which of the following graphs depicts it most closely?
→Two particles undergo $SHM$ along parallel lines with the same time period $(T)$ and equal amplitudes. At a particular instant, one particle is at its extreme position while the other is at its mean position. They move in the same direction. They will cross each other after a further time
→The sun's diameter is $1.4 \times {10^9}m$ and its distance from the earth is ${10^{11}}m.$ The diameter of its image, formed by a convex lens of focal length $2\,m$ will be.......$cm$
→Light travels a distance $x$ in time $t_1$ in air and $10 x$ in time $t_2$ in another denser medium. What is the critical angle for this medium?
→Cathode rays travelling from east to west enter into region of electric field directed towards north to south in the plane of paper. The deflection of cathode rays is towards
A square plate of mass $m$ and side a has moment of inertia about an axis perpendicular to its plane and passess through one of its corner is $\alpha \,ma^2$. Then $\alpha $ is
→Two wires $A$ and $B$ are of same materials. Their lengths are in the ratio $1 : 2$ and diameters are in the ratio $2 : 1$ when stretched by force ${F_A}$ and ${F_B}$ respectively they get equal increase in their lengths. Then the ratio ${F_A}/{F_B}$ should be
→