MCQ
For given systen ${\theta _1}$ ....... $^o$ 
  • A
    $30$
  • $45$
  • C
    $60$
  • D
    ${\tan ^{ - 1}}\left( {\frac{1}{2}} \right)$

Answer

Correct option: B.
$45$
b
$\frac{{{T_1}\sin {\theta _1}}}{{{T_1}\cos {\theta _1}}} $  =$ \frac{{mg}}{{mg}}$ $\therefore $ 

$\tan {\theta _1} = 1$or ${\theta _1} = 45^\circ $

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The normal reaction $'{N}^{\prime}$ for a vehicle of $800\, {kg}$ mass, negotiating a turn on a $30^{\circ}$ banked road at maximum possible speed without skidding is $...\,\times 10^{3}\, {kg} {m} / {s}^{2}$ [Given $\left.\cos 30^{\circ}=0.87, \mu_{{s}}=0.2\right]$
$STATEMENT$-$1$ In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision. because

$STATEMENT$-$2$ In an elastic collision, the linear momentum of the system is conserved.

A steel plate of face area $1 \,cm ^2$ and thickness $4 \,cm$ is fixed rigidly at the lower surface. A tangential force $F=10 \,kN$ is applied on the upper surface as shown in the figure. The lateral displacement $x$ of upper surface w.r.t. the lower surface is .............. $m$ (Modulus of rigidity for steel is $8 \times 10^{11} \,N / m ^2$ )
In doubling the mass and acceleration of the mass, the force acting on the mass with respect to the previous value
A gas has volume $V$ and pressure $P$. The total translational kinetic energy of all the molecules of the gas is
The displacements of two particles executing $S.H.M.$ on the same line are given. as $y_1=a \sin \left(\frac{\pi}{2} t+\phi\right)$ and $y_2=b \sin \left(\frac{2 \pi}{3} t+\phi\right)$. The phase difference between them at $t=1 \,s$ is .........
When the pressure on water is increased the boiling temperature of water as compared to $100°C$ will be
The amplitude modulated (AM) radio wave bends appreciably round the corners of a 1m × 1m board but the frequency modulated (FM) wave only negligibly bends. If the average wavelengths of AM and FM waves are $\lambda_\text{a}$ and $\lambda_\text{f}:$

  1. $\lambda_\text{a}>\lambda_\text{f}$

  2. $\lambda_\text{a}=\lambda_\text{f}$

  3. $\lambda_\text{a}<\lambda_\text{f}$

  4. We don't have sufficient information to decide about the relation of $\lambda_\text{a}$ and $\lambda_\text{f}$

A stone is allowed to fall freely from rest. The ratio of the times taken to fall through the first metre and the second metre distance is
Rotational kinetic energy of a given body about an axis is proportional to