1
JEE Main 2021 (Online) 24th February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
In the given figure, a mass M is attached to a horizontal spring which is fixed on one side to a rigid support. The spring constant of the spring is k. The mass oscillates on a frictionless surface with time period T and amplitude A. When the mass is in equilibrium position, as shown in the figure, another mass m is gently fixed upon it. The new amplitude of oscillations will be :

JEE Main 2021 (Online) 24th February Morning Shift Physics - Simple Harmonic Motion Question 94 English
A
$$A\sqrt {{M \over {M - m}}} $$
B
$$A\sqrt {{{M - m} \over M}} $$
C
$$A\sqrt {{{M + m} \over M}} $$
D
$$A\sqrt {{M \over {M + m}}} $$
2
JEE Main 2021 (Online) 24th February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
A current through a wire depends on time as

i = $$\alpha$$0t + $$\beta$$t2

where $$\alpha$$0 = 20 A/s and $$\beta$$ = 8 As$$-$$2. Find the charge crossed through a section of the wire in 15 s.
A
2250 C
B
2100 C
C
260 C
D
11250 C
3
JEE Main 2021 (Online) 24th February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Match List I with List II.

List I List II
(a) Isothermal (i) Pressure constant
(b) Isochoric (ii) Temperature constant
(c) Adiabatic (iii) Volume constant
(d) Isobaric (iv) Heat content is constant

Choose the correct answer from the options given below :
1
(a) - (ii), (b) - (iii), (c) - (iv), (d) - (i)
2
(a) - (ii), (b) - (iv), (c) - (iii), (d) - (i)
3
(a) - (iii), (b) - (ii), (c) - (i), (d) - (iv)
4
(a) - (i), (b) - (iii), (c) - (ii), (d) - (iv)
4
JEE Main 2021 (Online) 24th February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
n mole of a perfect gas undergoes a cyclic process ABCA (see figure) consisting of the following processes.

A $$ \to $$ B : Isothermal expansion at temperature T so that the volume is doubled from V1 to V2 = 2V1 and pressure charges from P1 to P2

B $$ \to $$ C : Isobaric compression at pressure P2 to initial volume V1.

C $$ \to $$ A : Isochoric change leading to change of pressure from P2 to P1.

Total workdone in the complete cycle ABCA is :

JEE Main 2021 (Online) 24th February Morning Shift Physics - Heat and Thermodynamics Question 225 English
A
nRTln 2
B
0
C
$$nRT\left( {\ln 2 - {1 \over 2}} \right)$$
D
$$nRT\left( {\ln 2 + {1 \over 2}} \right)$$
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