Download App

STD 11 - 3.2. motion in plane — NEET STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceNEETSTD 11 - 3.2. motion in plane4 Marks
Question
Two particles start simultaneously from the same point and move along two straight lines, one with uniform velocity $v$ and other with a uniform acceleration $a$. If $\alpha$ is the angle between the lines of motion of two particles, then the least value of relative velocity will be at time given by
✓

Answer

(b)

$v_r$ is subtraction of vector. Hence,

$v_r^2=x($ say $)=v^2+(a t)^2-2 v(a t) \cos \alpha$

Now, $v_r$ will be minimum when $x$ is minimum. Hence,

$\frac{d x}{d t}=0$ or $2 a^2 t-2 v a \cos \alpha=0$

$\therefore \quad t=\frac{v \cos \alpha}{a}$

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

Explore more

NEET STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The intensity of the electric field required to keep a water drop of radius ${10^{ - 5}}\, cm$ just suspended in air when charged with one electron is approximately
→
$\mathop {(A)\,}\limits_{{C_7}{H_{14}}} \xrightarrow[{Zn}]{{{O_3}}}\left( B \right)\, + \,\left( C \right)$

Compound $(A)$ exist in geometrical isomers and $(B)$ gives cannizaro reaction $(A)$ will be

→
Pulling force making an angle $\theta $ to the horizontal is applied on a block of weight $W$ placed on a horizontal table. If the angle of friction is $\alpha $, then the magnitude of force required to move the body is equal to
→
If acceleration due to gravity at distance $d[ < R]$ from the centre of earth is $\beta$, then its value at distance $d$ above the surface of earth will be [where $R$ is radius of earth]
→
A gas is filled in a vessel at a pressure given by $P = \left( {6.02 \times {{10}^{23}}} \right)kT$ where $k$ is the Boltzmann constant and $T$ is the absolute temperature. The number of molecules per unit volume of the gas is
→
Energy levels $A, B, C$ of a certain atom corresponding to increasing values of energy i.e. ${E_A} < {E_B} < {E_C}$. If ${\lambda _1},\;{\lambda _2},\;{\lambda _3}$ are the wavelengths of radiations corresponding to the transitions $C$ to $B, B$ to $A$ and $C$ to $A$ respectively, which of the following statements is correct
→
In the following circuit, the equivalent capacitance between terminal $A$and terminal  $B$  is : 
→
A force $\overrightarrow{ F }=4 \hat{ i }+3 \hat{ j }+4 \hat{ k }$ is applied on an intersection point of $x =2$ plane and $x$ -axis. The magnitude of torque of this force about a point $(2,3,4)$ is.......... . (Round off to the Nearest Integer)
→
Which of the following is the most precise device for measuring length 
→
One of the two small circular coils, (none of them having any self- inductance) is suspended with a $V-$ shaped copper wire, with plane horizontal. The other coil is placed just below the first one with plane horizontal. Both the coils are connected in series with a $dc$ supply. The coils are found to attract each other with a force. Which one of the following statements is incorrect ?
→