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Content Curator | Updated On - Jul 8, 2024
WBJEE 2019 Question Paper is provided here with solutions PDF for download. The exam was deemed moderate in terms of overall difficulty by the candidates. The Chemistry section, as always, was comparatively easier and thus more scoring. No new changes were made to WBJEE Syllabus and Exam Pattern for the year.
WBJEE 2019 Question Paper with Answer Key
Exam Date | Subject | Question Paper |
---|---|---|
May 26, 2019 | Mathematics | Check Here |
Physics & Chemistry | Check Here |
WBJEE 2019 Questions
1. The function \(y=e^{kr}\) satisfies \((\frac{d^2y}{dx^2}+\frac{dy}{dx})(\frac{dy}{dx}-y)=y\frac{dy}{dx}\). It is valid for
- exactly one value of k
- two distinct values of k
- three distinct values of k
- infinitely many values of k
2. If 4a2+9b2-c2+12ab=0, then the family of straight lines ax+by+c=0 is concurrent at
- (2,3)or(-2,-3)
- (-2,3)or(2,-3)
- (3,2)or(-3,2)
- (-3,2)or(2,3)
3. The value of 'a' for which the scaler triple product formed by the vectors \(\vec\alpha=\hat{i}+a\hat{j}+\hat{k}\), \(\vec{\beta}=\hat{j}+a\hat{k}\) and \(\vec{\gamma}=a\hat{i}+\hat{k}\) is maximum, is
- 3
- -3
- \(\frac{1}{\sqrt3}\)
- \(-\frac{1}{\sqrt3}\)
4. An electric dipole of dipole moment p is placed at the origin of the coordinate system along the z-axis. The amount of work required to move a charge 'q' from the point (a,0,0) to the point (0,0,a) is
- \(\frac{pq}{4\pi\epsilon_0a}\)
- 0
- \(-\frac{pq}{4\pi\epsilon_0a^2}\)
- \(\frac{pq}{4\pi\epsilon_0a^2}\)
5. A train is moving along the tracks at a constant speed u. A girl on the train throws a ball of mass m straight ahead along the direction of motion of the train with speed v with respect to herself. Then,
*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.
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