1
MHT CET 2023 11th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

An electron of mass '$$\mathrm{m}$$' and charge '$$\mathrm{q}$$' is accelerated from rest in a uniform electric field of strength '$$E$$'. The velocity acquired by the electron, when it travels a distance '$$\mathrm{L}$$', is

A
$$\sqrt{\frac{2 q \mathrm{~m}}{\mathrm{~mL}}}$$
B
$$\sqrt{\frac{2 \mathrm{qEL}}{\mathrm{m}}}$$
C
$$\sqrt{\frac{2 \mathrm{Em}}{\mathrm{qL}}}$$
D
$$\sqrt{\frac{\mathrm{qE}}{\mathrm{mL}}}$$
2
MHT CET 2023 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two positively charged identical spheres separated by a distance 'd' exert some force (F) on each other when they are kept in air. If both the spheres are immersed in a liquid of dielectric constant 5 , the force experienced by each is (All other parameters are unchanged.)

A
$$5 \mathrm{~F}$$
B
$$\frac{F}{3}$$
C
$$\frac{F}{4}$$
D
$$\frac{F}{5}$$
3
MHT CET 2023 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two charges of equal magnitude '$$q$$' are placed in air at a distance '$$2 r$$' apart and third charge '$$-2 \mathrm{q}$$' is placed at mid point. The potential energy of the system is $$\left(\varepsilon_0=\right.$$ permittivity of free space)

A
$$-\frac{q^2}{8 \pi \varepsilon_0 r}$$
B
$$-\frac{3 \mathrm{q}^2}{8 \pi \varepsilon_0 \mathrm{r}}$$
C
$$-\frac{5 q^2}{8 \pi \varepsilon_0 r}$$
D
$$-\frac{7 q^2}{8 \pi \varepsilon_0 r}$$
4
MHT CET 2023 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

An electron moving with velocity $$1.6 \times 10^7 \mathrm{~m} / \mathrm{s}$$ has wavelength of $$0.4 \mathop A\limits^o$$. The required accelerating voltage for the electron motion is [charge on electron $$=1.6 \times 10^{-19} \mathrm{C}$$, mass of electron $$=9 \times 10^{-31} \mathrm{~kg}$$ ]

A
$$7.2 \times 10^3 \mathrm{~V}$$
B
$$7.2 \times 10^2 \mathrm{~V}$$
C
$$7.2 \mathrm{~V}$$
D
$$7.2 \times 10^{-2} \mathrm{~V}$$
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