1
JEE Main 2023 (Online) 29th January Evening Shift
+4
-1 The ratio of de-Broglie wavelength of an $$\alpha$$ particle and a proton accelerated from rest by the same potential is $$\frac{1}{\sqrt m}$$, the value of m is -

A
2
B
16
C
8
D
4
2
JEE Main 2023 (Online) 29th January Evening Shift
+4
-1 A force acts for 20 s on a body of mass 20 kg, starting from rest, after which the force ceases and then body describes 50 m in the next 10 s. The value of force will be:

A
40 N
B
20 N
C
5 N
D
10 N
3
JEE Main 2023 (Online) 29th January Evening Shift
+4
-1 The equation of a circle is given by $$x^2+y^2=a^2$$, where a is the radius. If the equation is modified to change the origin other than (0, 0), then find out the correct dimensions of A and B in a new equation : $${(x - At)^2} + {\left( {y - {t \over B}} \right)^2} = {a^2}$$. The dimensions of t is given as $$[\mathrm{T^{-1}]}$$.

A
$$\mathrm{A=[L^{-1}T^{-1}],B=[LT^{-1}]}$$
B
$$\mathrm{A=[L^{-1}T^{-1}],B=[LT]}$$
C
$$\mathrm{A=[LT],B=[L^{-1}T^{-1}]}$$
D
$$\mathrm{A=[L^{-1}T],B=[LT^{-1}]}$$
4
JEE Main 2023 (Online) 29th January Evening Shift
+4
-1 A square loop of area 25 cm$$^2$$ has a resistance of 10 $$\Omega$$. The loop is placed in uniform magnetic field of magnitude 40.0 T. The plane of loop is perpendicular to the magnetic field. The work done in pulling the loop out of the magnetic field slowly and uniformly in 1.0 sec, will be

A
$$\mathrm{1.0\times10^{-3}~J}$$
B
$$\mathrm{5\times10^{-3}~J}$$
C
$$\mathrm{2.5\times10^{-3}~J}$$
D
$$\mathrm{1.0\times10^{-4}~J}$$
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