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Test: BITSAT Mock Test- 4 - JEE MCQ


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150 Questions MCQ Test BITSAT Mock Tests Series & Past Year Papers - Test: BITSAT Mock Test- 4

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Test: BITSAT Mock Test- 4 - Question 1

In a transformer the primary has 500 turns and secondary has 50 turn. 100 volts are applied to the primary coil, the voltage developed in the secondary will be

Test: BITSAT Mock Test- 4 - Question 2

An oil drop carrying a charge q has a mass m kg. It is falling freely in air with terminal speed ν. The electric field required to make the drop move upwards with the same speed is

Test: BITSAT Mock Test- 4 - Question 3

If six identical cells each having an e.m.f of 6V are connected in parallel, the E.M.F of the combination is

Detailed Solution for Test: BITSAT Mock Test- 4 - Question 3

Test: BITSAT Mock Test- 4 - Question 4

The positron was discovered in the year

Test: BITSAT Mock Test- 4 - Question 5

An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If lengths and radii of the wires are in the ratio of 4 : 3 and 2 : 3, then ratio of the currents passing through the wires will be

Test: BITSAT Mock Test- 4 - Question 6

A nucleus ruptures into two nuclear parts which have their velocity ratio equal to 2:1. What will be the ratio of their nuclear radius

Test: BITSAT Mock Test- 4 - Question 7

Which of the following statements is correct

Test: BITSAT Mock Test- 4 - Question 8

A uniform chain of length 'L' hangs partly from a table which is kept in equilibrium by friction. The maximum length that can stand without slipping is l then coefficient of friction between the table and the chain is

Test: BITSAT Mock Test- 4 - Question 9

A series combination of R,L,C is connected to an a.c. source. If the resistance is 3Ω and the reactance is 4Ω, the power factor of the circuit is

Detailed Solution for Test: BITSAT Mock Test- 4 - Question 9

 

Test: BITSAT Mock Test- 4 - Question 10

An electric dipole has the magnitude of its charge as q, and its dipole moment is p. It is placed in a uniform electric field E. If its dipole moment is along the direction of the field, then force acting on it and its potential energy are respectively

Detailed Solution for Test: BITSAT Mock Test- 4 - Question 10

Test: BITSAT Mock Test- 4 - Question 11

If r represents the radius of the orbit of the satellite of mass m moving around the planet of mass M, then velocity of the satellite ν is obtained from the relation

Test: BITSAT Mock Test- 4 - Question 12

An infinite number of charge of equal magnitude q, but of opposite sign are placed along the X-axis at x = 1, x = 2, x = 4, x = 8... and so on. The electric potential at the point x = 0 due to these charge will be

Detailed Solution for Test: BITSAT Mock Test- 4 - Question 12

Test: BITSAT Mock Test- 4 - Question 13

At constant volume the specific heat of a gas is 3R/2, then the value of 'γ' will be

Test: BITSAT Mock Test- 4 - Question 14

Newton's law of cooling holds good only, if the temperature difference between the body and its surrounding is

Test: BITSAT Mock Test- 4 - Question 15

A proton and an electron both moving with the same velocity ν enter into a region of magnetic field directed perpendicular to the velocity of the particles. They will now move in circular orbits such that

Test: BITSAT Mock Test- 4 - Question 16

The material used for permanent magnet should have

Test: BITSAT Mock Test- 4 - Question 17

The surface tension of soap solution is 25*10⁻3 N-m⁻1. The excess pressure inside a soap bubble of diameter 1 cm is

Test: BITSAT Mock Test- 4 - Question 18

The normal density of gold is ρ and its bulk modulus is K. The increase in density of a lump of gold, when a pressure P is applied uniformly on all sides, is

Detailed Solution for Test: BITSAT Mock Test- 4 - Question 18

The decrease in volume of gold is ΔV = VP/ K .....(i)
If m is the mass of gold, its density ρ = m V . Due to a decrease ΔV in volume, the increase Δρ in the density is
Δρ = m/ ΔV = ρV/ ΔV
or ΔV = ρV/ Δρ .....(ii)
Equating (i) and (ii) we get Δρ = ρK/ P

Test: BITSAT Mock Test- 4 - Question 19

The co-ordinates of a moving particle at any time 't' are given by x = αt3 and y = βt3. The speed of the partcle at time 't' is given by

Test: BITSAT Mock Test- 4 - Question 20

A hollow sphere has radius 6.4 m. Minimum velocity required by a motor cyclist at bottom to complete the circle will be

Detailed Solution for Test: BITSAT Mock Test- 4 - Question 20
Min velocity to complete vertical circle is V= √5gR =√5*10*6.4 =17.7 m/s approx
Test: BITSAT Mock Test- 4 - Question 21

A man throws balls with the same speed vertically upwards one after the other at an interval of 2 seconds. What should be the speed of the throw so that more than two balls are in the sky at any time? (Given g = 9.8 m/s)

Detailed Solution for Test: BITSAT Mock Test- 4 - Question 21

Interval of ball throw = 2 sec
If we want that minimum three (more than two) ball remain in air then time of flight of first ball must be greater than 4 sec
T > 4 sec
2u/g > 4 sec
⇒ u > 19.6 m/s
For u = 19.6. First ball will just strike the ground(in sky)
Second ball will be at highest point (in sky)
Third ball will be at point of projection or at ground (not in sky)

Test: BITSAT Mock Test- 4 - Question 22

A solid of density ρ₁ is floating in a liquid of density ρ₂. If ν is the volume of solid submerged in the liquid and V is the total volume of the solid, the ν/V is equal to

Test: BITSAT Mock Test- 4 - Question 23

A body of mass 2 kg has an initial velocity of 3 metres per second along OE and it is subjected to a force of 4 N in a direction perpendicular to OE. The distance of the body from O after 4 seconds will be

Test: BITSAT Mock Test- 4 - Question 24

The normal magnifying power of a simple microscope is 6. The focal length of the convex lens used is

Test: BITSAT Mock Test- 4 - Question 25

Two simple pendulums of length 0.5 m and 20 m respectively are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has completed... oscillations

Test: BITSAT Mock Test- 4 - Question 26

A convex lens has a focal length f. It is cut into two parts along a line perpendicular to principal axis. The focal length of each part will be

Test: BITSAT Mock Test- 4 - Question 27

A dics of radius 1 m is rotating with an angular velocity of 10 rad-s⁻1. The linear velocity of the dics on a point 0.5 m from its centre is

Test: BITSAT Mock Test- 4 - Question 28

To make the frequency double of a spring oscillator, we have to

Test: BITSAT Mock Test- 4 - Question 29