1
JEE Main 2022 (Online) 29th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A): Clothes containing oil or grease stains cannot be cleaned by water wash.

Reason (R): Because the angle of contact between the oil/grease and water is obtuse.

In the light of the above statements, choose the correct answer from the option given below.

A
Both (A) and (R) are true and (R) is the correct explanation of (A)
B
Both (A) and (R) are true but (R) is not the correct explanation of (A)
C
(A) is true but (R) is false
D
(A) is false but (R) is true
2
JEE Main 2022 (Online) 29th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If the length of a wire is made double and radius is halved of its respective values. Then, the Young's modulus of the material of the wire will :

A
remain same
B
become 8 times its initial value
C
become $$\frac{1}{4}$$ of its initial value
D
become 4 times its initial value
3
JEE Main 2022 (Online) 29th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The time period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle, which moves without friction down an inclined plane of inclination $$\alpha$$, is given by :

A
$$2 \pi \sqrt{\mathrm{L} /(\mathrm{g} \cos \alpha)}$$
B
$$2 \pi \sqrt{\mathrm{L} /(\mathrm{g} \sin \alpha)}$$
C
$$2 \pi \sqrt{\mathrm{L} / \mathrm{g}}$$
D
$$2 \pi \sqrt{\mathrm{L} /(\mathrm{g} \tan \alpha)}$$
4
JEE Main 2022 (Online) 29th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A spherically symmetric charge distribution is considered with charge density varying as

$$\rho(r)= \begin{cases}\rho_{0}\left(\frac{3}{4}-\frac{r}{R}\right) & \text { for } r \leq R \\ \text { zero } & \text { for } r>R\end{cases}$$

Where, $$r(r < R)$$ is the distance from the centre O (as shown in figure). The electric field at point P will be:

JEE Main 2022 (Online) 29th July Morning Shift Physics - Electrostatics Question 69 English

A
$$\frac{\rho_{0} \mathrm{r}}{4 \varepsilon_{0}}\left(\frac{3}{4}-\frac{r}{R}\right)$$
B
$$\frac{\rho_{0} r}{3 \varepsilon_{0}}\left(\frac{3}{4}-\frac{r}{R}\right)$$
C
$$\frac{\rho_{0} r}{4 \varepsilon_{0}}\left(1-\frac{r}{R}\right)$$
D
$$ \frac{\rho_{0} r}{5 \varepsilon_{0}}\left(1-\frac{r}{R}\right) $$
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