Time Left - 25:00 mins

BITSAT Practice Test 47

Attempt now to get your rank among 567 students!

Question 1

A hyperbola through (-3,5) has foci at (-3,-3) and (3,-3). Find the eccentricity of the conic.

Question 2

Find the shortest distance between the lines

Question 3

If the lines

and

are coplanar. Find the number of values of k.

Question 4

Find the equation of the plant passing through the point

and parallel to the planes

and

Question 5

Find the equation of the tangent to the ellipse

which is perpendicular to the line

Question 6

In the following question, a sentence is given with a blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.

At night, the hungry orphan would sneak into the kitchen and __________ tiny amounts of food.

Question 7

If 5 @ 1 = 60; 12 @ 8 = 200; 16 @ 2 = 180; then what is the value of 16 @ 10 =?

Question 8

The structure of ICl₂ ¯ is -

Question 9

Ce³⁺, La³⁺, Pm³⁺ and Yb³⁺ have ionic radii in the increasing order as:

Question 10

A compound of molecular formula

reacts with acetophenone to form a single cross-aldol product in the presence of base. The same compound on reaction with conc. NaOH forms benzyl alcohol as one of the products. The structure of the compound is:

Question 11

thermal decomposition of a compound is of first order. If 50% of a sample of compound is decomposed in 120 minutes, how long will it take for 90% of compound to decompose?

Question 12

A point particle of mass (M) is attached to one end of a massless rigid non-conducting rod of length L. Another point particle of mass (M) is attached to the other end of the rod. The two particles carry charges +q and -q respectively. This arrangement is held in a region of uniform electric field (E). Such that the rod makes a small angle θ(≤ 5 º) with the field direction the minimum time needed for the rod to become parallel to the field after it is set free –

Question 13

A point charge ‘Q’ is placed 1 m above a very large horizontal sheet. Then the net electric flux through this sheet will be

Question 14

A wire, of length

, is bent into a semi-circular arc. If the two equal halves, of the arc, were each to be uniformly charged with charges[

Coulomb where

is the permittivity (in SI units) of free space] the net electric field at the centre O of the semi-circular arc would be:

Question 15

The electrostatic potential inside a charged spherical ball is given by Φ = a r² + b where r is the distance from the centre (a, b are constants). Then the charge density inside the ball is

567 attempts
8 upvotes
14 comments

Tags :

Apr 30JEE & BITSAT